Factors

# Factors of 170 | Prime Factorization of 170 | Factor Tree of 170

Written by Prerit Jain

Updated on: 18 Aug 2023

Contents

### Factors of 170 | Prime Factorization of 170 | Factor Tree of 170

Factors of 170 | Factor Pairs of 170 | Prime factors of 170 |
---|---|---|

170 = 1, 2, 5, 10, 17, 34, 85, and 170 | (1, 170), (2, 85), (5, 34), (10, 17) | 170= 2 x 5 x 7 |

Calculate Factors of

**The Factors are**

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**What are the factors of 170**

Factors are referred to numbers that can be multiplied together in different combinations and give the same result. consider 170; 1 x 170 = 170 or 2 x 85 =170 and so on!

The division helps to find all the possible factor pairs for any number. Divide your original number (in our case it was ‘170’) into smaller pieces using any whole numbers between one and itself. If there is no number left behind as remainder when doing these divisions then those two-part are called a factor pair which makes it onto our list of other factors – that is while dividing 170 evenly then my quotient would multiply back out exactly as 170 resulting in us another pairing showing how 17 works in making up “factor-pairs” helping us form an equation equal to 170. So ultimately, thus we end up discovering 7 more ways(1×20 5×34 10X17) that could work with the first pairing: 2 X85 bringing this total number of factor pairs for 170 to a total number of 8.

**How to Find Factors of 170**

The four methods to find factors of 170:

Factors of 170 using the Multiplication Method

Factors of 170 using the Division Method

Prime Factorization of 170

Factor tree of 170

**Factors of 170 using Multiplication Method**

When two numbers multiplied together gives the answer as 170, they are the factors of 170! Multiplying 2 and 85 together gives 170. Therefore 2 and 85 are both factors of 170!

Also 10 times 17 equals 170 so 10 & 17 also become its factor (an integer or whole number which divides another integer exactly without remainders .) That makes 8 different possible pairs – 1×170,2 x 85,5 x34,10 X17 -all these sums equal up to be exactly ‘170’.

**Factors of 170 Using Division Method**

Finding factors is as interesting as solving a math puzzle! To find out using division, after listing out each integer between 1 and 170 (1, 2,3… 169,170) divide every single one into our original number of 170 until it results in numbers with no remainder leftover. They are the factors of 170 — which will give us back our main ingredient -170- when multiplied together in various ways: such as 1 x 17o or 10×17 or 85×2 etc. So those 8 final factors for this special magical number would be 1,2,5,10,17,34,85,170.

**Prime Factorization of 170**

{Insert Prime Factorization Calculator}

Prime factorization aids to break down numbers into their basic building blocks. Prime factors are like colorful blocks of shapes in an art project, they are the base pieces that make up every number! To find out what these special pieces are for 170, let’s consider a factor tree. Split 170 into two parts: 2 x 85 (2 times eighty-five). Then we can split each of those chunks again; this time 5 x 17 (5x seventeen) which gives us our answer – 2x5x17 – the three prime factors of 170.

**Factor tree of 170**

{Insert Factor Tree Calculator}

To create a factor tree for 170: write the number at the top of your tree. Proceed to draw branches coming off it and write what that factor is divided by on each branch and continue till you reach 1 as an answer – meaning there is no possibility to break down further as it entered a ‘prime’ barrier where no more divides can happen. For example, when we divide 170 by 2 get 85; then if we divide 85 again (its now lowest) but only 5 will fit so 17’s left over – keep going like this till every path ends in single digits or known primes like 3 or 7 and so on….

**Factor Pairs of 170**

{Insert Factor Pairs Calculator}

Let there’s a big box full of different items! Consider it as our original number 170. To figure out ways to put all the pieces into smaller boxes that are equal in size. To do so, we take two numbers and multiply them together – if they give us 170 then those two numbers are called’ factor pairs’ for our original number.

For instance: 1 x 170 =170 so (1,170) is a one-factor pair; 2x 85=170 so (2,85) etc… So, by trying out lots of combinations between 1 and our number-in-question – which was 170 –we find 4 possible combination / ‘factor pairs’ for it :(1 &,70),(2 & 85), (5& 34 ), and each time 10 multiplied with something will produce the outcome which is 17 here.

**Factors of 170 – Quick Recap**

**Factors of 170:** 1, 2, 5, 10, 17, 34, 85, and 170

**Negative Factors of 170:** -1, -2, -5, -10, -17, -34, -85, -170.

**Prime Factors of 170:** 2 × 5 × 17

**Prime Factorization of 170:** 2 × 5 × 17

**Fun Facts of Factors of 170**

170 is a prime number with only two factors (1 and itself), and also a square prime because its square, 289, is also precisely divisible. 170 multiple specialty even beyond being the 13th Prime; for example, it can be divided by the sum of its digits: 1+6+9=16 and 170/16 resulting in 10.5 exactly

**Examples of Factor of 170**

1. What is the prime factorization of 170?

Answer: The prime factorization of 170 is 2 x 5 x17.

2. What are the factors of 170?

Answer: The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170.

3. Is 170 a composite number?

Answer: Yes, 170 is a composite number because it has more than two factors (1, 2, 5, 10, 17, 34, 85, and 170).

4. Are there any square numbers in the factors of 170?

Answer: No square numbers can be found in the factors of 170.

5. Is there a relationship between the factors of170 and its prime factorization?

Answer: Yes, the prime factorization of 170 (2 x 5 x17) tells us that all its factors must be divisible by either 2 or 5 or 17 or 1. Therefore all the factors of 170 are divisible by either 2 or 5 or 17 or 1.

6. What do we call numbers whose only two factors are themselves and one?

Answer: Numbers whose only two factors are themselves and one are called prime numbers.

7. How many odd numbers appear in the factrosof170?

Answer: 4 odd numbers appear in the factors of 170 which are 1, 5, 17, and 85.

8. Are there any even numbers in the list of factors of 170?

Answer: Yes, five even numbers appear in the list factors of 170 which are 2,10,34,85, and 170.

9. What type of numbers are found among the factors of 170?

Answer: Among The Factors Of 170 We Find Both Composite Numbers(2, 5, 17, and so on)and prime numbers(1).

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**Frequently Asked Questions**

### What is the prime factorization of 170?

The prime factorization of 170 is 2 x 5 x17.

### What are the factors of 170?

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170.

### Is 170 a composite number?

Yes, 170 is a composite number because it has more than two factors (1, 2, 5, 10, 17, 34, 85, and 170).

### Are there any square numbers in the factors of 170?

No square numbers can be found in the factors of 170.

### Is there a relationship between the factors of170 and its prime factorization?

Yes, the prime factorization of 170 (2 x 5 x 17) tells us that all its factors must be divisible by either 2 or 5 or 17 or 1. Therefore all the factors of 170 are divisible by either 2 or 5 or 17 or 1.

### How many odd numbers appear in the factors of 170?

4 odd numbers appear in the factors of 170 which are 1, 5,17, and 85

### Are there any even numbers in the list of factors for 170?

Yes, 3 even numbers appear in the list of factors for 170 which are 2,10, and 170.

### What type of numbers are found among the factors of 170?

Among The Factors of 170, We Find Both Composite Numbers(2, 5, 17, and so on) and prime numbers (1).

### Is it possible to divide 167 by any other number besides one or itself?

No it’s not possible to divide 167 by any other number besides one or itself since 167i a prime number

### What do we call numbers whose only two factors are themselves and one?

Numbers whose only two factors are themselves and one are called prime numbers.

Calculate Prime Factors of

The Prime Factors of 170 =

2 x

5 x

17

To create a factor tree for 170: write the number at the top of your tree. Proceed to draw branches coming off it and write what that factor is divided by on each branch and continue till you reach 1 as an answer – meaning there is no possibility to break down further as it entered a ‘prime’ barrier where no more divides can happen. For example, when we divide 170 by 2 get 85; then if we divide 85 again (its now lowest) but only 5 will fit so 17’s left over – keep going like this till every path ends in single digits or known primes like 3 or 7 and so on….

**Factor Pairs of 170**

Calculate Pair Factors of

1 x 170=170

2 x 85=170

5 x 34=170

10 x 17=170

17 x 10=170

34 x 5=170

85 x 2=170

So Pair Factors of 170 are

(1,170)

(2,85)

(5,34)

(10,17)

(17,10)

(34,5)

(85,2)

Let there’s a big box full of different items! Consider it as our original number 170. To figure out ways to put all the pieces into smaller boxes that are equal in size. To do so, we take two numbers and multiply them together – if they give us 170 then those two numbers are called’ factor pairs’ for our original number.

For instance: 1 x 170 =170 so (1,170) is a one-factor pair; 2x 85=170 so (2,85) etc… So, by trying out lots of combinations between 1 and our number-in-question – which was 170 –we find 4 possible combination / ‘factor pairs’ for it :(1 &,70),(2 & 85), (5& 34 ), and each time 10 multiplied with something will produce the outcome which is 17 here.

**Factors of 170 – Quick Recap**

**Factors of 170:** 1, 2, 5, 10, 17, 34, 85, and 170

**Negative Factors of 170:** -1, -2, -5, -10, -17, -34, -85, -170.

**Prime Factors of 170:** 2 × 5 × 17

**Prime Factorization of 170:** 2 × 5 × 17

**Fun Facts of Factors of 170**

170 is a prime number with only two factors (1 and itself), and also a square prime because its square, 289, is also precisely divisible. 170 multiple specialty even beyond being the 13th Prime; for example, it can be divided by the sum of its digits: 1+6+9=16 and 170/16 resulting in 10.5 exactly

**Examples of Factor of 170**

1. What is the prime factorization of 170?

Answer: The prime factorization of 170 is 2 x 5 x17.

2. What are the factors of 170?

Answer: The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170.

3. Is 170 a composite number?

Answer: Yes, 170 is a composite number because it has more than two factors (1, 2, 5, 10, 17, 34, 85, and 170).

4. Are there any square numbers in the factors of 170?

Answer: No square numbers can be found in the factors of 170.

5. Is there a relationship between the factors of170 and its prime factorization?

Answer: Yes, the prime factorization of 170 (2 x 5 x17) tells us that all its factors must be divisible by either 2 or 5 or 17 or 1. Therefore all the factors of 170 are divisible by either 2 or 5 or 17 or 1.

6. What do we call numbers whose only two factors are themselves and one?

Answer: Numbers whose only two factors are themselves and one are called prime numbers.

7. How many odd numbers appear in the factrosof170?

Answer: 4 odd numbers appear in the factors of 170 which are 1, 5, 17, and 85.

8. Are there any even numbers in the list of factors of 170?

Answer: Yes, five even numbers appear in the list factors of 170 which are 2,10,34,85, and 170.

9. What type of numbers are found among the factors of 170?

Answer: Among The Factors Of 170 We Find Both Composite Numbers(2, 5, 17, and so on)and prime numbers(1).

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

**Frequently Asked Questions**

### What is the prime factorization of 170?

The prime factorization of 170 is 2 x 5 x17.

### What are the factors of 170?

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, and 170.

### Is 170 a composite number?

Yes, 170 is a composite number because it has more than two factors (1, 2, 5, 10, 17, 34, 85, and 170).

### Are there any square numbers in the factors of 170?

No square numbers can be found in the factors of 170.

### Is there a relationship between the factors of170 and its prime factorization?

Yes, the prime factorization of 170 (2 x 5 x 17) tells us that all its factors must be divisible by either 2 or 5 or 17 or 1. Therefore all the factors of 170 are divisible by either 2 or 5 or 17 or 1.

### How many odd numbers appear in the factors of 170?

4 odd numbers appear in the factors of 170 which are 1, 5,17, and 85

### Are there any even numbers in the list of factors for 170?

Yes, 3 even numbers appear in the list of factors for 170 which are 2,10, and 170.

### What type of numbers are found among the factors of 170?

Among The Factors of 170, We Find Both Composite Numbers(2, 5, 17, and so on) and prime numbers (1).

### Is it possible to divide 167 by any other number besides one or itself?

No it’s not possible to divide 167 by any other number besides one or itself since 167i a prime number

### What do we call numbers whose only two factors are themselves and one?

Numbers whose only two factors are themselves and one are called prime numbers.

Written by by

Prerit Jain