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Factors

Factors of 71 | Prime Factorization of 71 | Factor Tree of 71

Written by Prerit Jain

Updated on: 24 Aug 2023

Contents

1Factors of 12Factors of 23Factors of 34Factors of 45Factors of 56Factors of 67Factors of 78Factors of 89Factors of 910Factors of 1011Factors of 1112Factors of 1213Factors of 1314Factors of 1415Factors of 1516Factors of 1617Factors of 1718Factors of 1819Factors of 1920Factors of 2021Factors of 2122Factors of 2223Factors of 2324Factors of 2425Factors of 2526Factors of 2627Factors of 2728Factors of 2829Factors of 2930Factors of 3031Factors of 3132Factors of 3233Factors of 3334Factors of 3435Factors of 3536Factors of 3637Factors of 3738Factors of 3839Factors of 3940Factors of 4041Factors of 4142Factors of 4243Factors of 4344Factors of 4445Factors of 4546Factors of 4647Factors of 4748Factors of 4849Factors of 4950Factors of 5051Factors of 5152Factors of 5253Factors of 5354Factors of 5455Factors of 5556Factors of 5657Factors of 5758Factors of 5859Factors of 5960Factors of 6061Factors of 6162Factors of 6263Factors of 6364Factors of 6465Factors of 6566Factors of 6667Factors of 6768Factors of 6869Factors of 6970Factors of 7071Factors of 7172Factors of 7273Factors of 7474Factors of 7575Factors of 7676Factors of 7777Factors of 7878Factors of 7979Factors of 8080Factors of 8181Factors of 8282Factors of 8383Factors of 8484Factors of 8585Factors of 8686Factors of 8787Factors of 8888Factors of 8989Factors of 9090Factors of 9191Factors of 9292Factors of 9493Factors of 9694Factors of 9795Factors of 9896Factors of 9997Factors of 10098Factors of 10199Factors of 102100Factors of 103101Factors of 104102Factors of 105103Factors of 106104Factors of 107105Factors of 108106Factors of 109107Factors of 110108Factors of 111109Factors of 112110Factors of 113111Factors of 114112Factors of 115113Factors of 116114Factors of 117115Factors of 118116Factors of 119117Factors of 120118Factors of 122119Factors of 123120Factors of 124121Factors of 125122Factors of 126123Factors of 127124Factors of 128125Factors of 129126Factors of 130127Factors of 131128Factors of 132129Factors of 133130Factors of 134131Factors of 135132Factors of 136133Factors of 137134Factors of 138135Factors of 139136Factors of 140137Factors of 141138Factors of 142139Factors of 143140Factors of 144141Factors of 145142Factors of 146143Factors of 147144Factors of 148145Factors of 149146Factors of 150147Factors of 151148Factors of 152149Factors of 153150Factors of 154151Factors of 155152Factors of 156153Factors of 157154Factors of 158155Factors of 159156Factors of 160157Factors of 161158Factors of 162159Factors of 163160Factors of 167161Factors of 168162Factors of 169163Factors of 170164Factors of 172165Factors of 174166Factors of 176167Factors of 178168Factors of 180169Factors of 182170Factors of 184171Factors of 186172Factors of 188173Factors of 190174Factors of 192175Factors of 194176Factors of 196177Factors of 197178Factors of 200179Factors of 215180Factors of 216181Factors of 415
Factors of 71 | Prime Factorization of 71 | Factor Tree of 71

Factors of 71 | Prime Factorization of 71 | Factor Tree of 71

Factors of 71

Factors of 71Factor Pairs of 71Prime factors of 71
1, 71(1,71)1 x 71
Factors of 71, Factor Pairs of 71, Prime factors of 71

Calculate Factors of

The Factors are

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What are the factors of 71

To find the factors of a number, you can divide it by other numbers to see if there is no remainder. This means you can check which numbers can be evenly divided into the number you are interested in. The numbers that divide evenly are called the factors of the original number.

For example, you can find the factors of 71 by dividing them by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, etc., and seeing which numbers result in no remainder. The factors of 71 are 1 and 71.

Another way to find the factors of a number is to use its prime factorization. Prime factorization is a list of prime numbers that can be multiplied together to give the original number. For example, the prime factorization of 71 is 1 x 71. This means that 1 and 71 are both prime numbers and when they are multiplied together, they equal 71.

Since the prime factorization of 71 is 1 x 71, the factors of 71 are 1 and 71.

How to Find Factors of 71

To find the factors of a number, you can divide it by other numbers to see if there is no remainder. This means you can check which numbers can be evenly divided into the number you are interested in. The numbers that divide evenly are called the factors of the original number.

For example, you can find the factors of 71 by dividing them by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, etc., and seeing which numbers result in no remainder. The factors of 71 are 1 and 71.

Another way to find the factors of a number is to use its prime factorization. Prime factorization is a list of prime numbers that can be multiplied together to give the original number. For example, the prime factorization of 71 is 1 x 71. This means that 1 and 71 are both prime numbers and when they are multiplied together, they equal 71.

Since the prime factorization of 71 is 1 x 71, the factors of 71 are 1 and 71. These are all the numbers that can be obtained by multiplying together some combination of 1 and 71.

Factors of 71 Using the Multiplication Method

To find the factors of a number using the multiplication method, you can list out all the pairs of numbers that can be multiplied together to give the original number. For example, to find the factors of 71, you can list out all the pairs of numbers that can be multiplied together to give 71.

Some examples of pairs of factors of 71 include (1, 71). To find all the factors of 71, you can continue listing out all the pairs of numbers that can be multiplied together to give 71.

Some other pairs of factors of 71 include (1, 71) and (71, 1).

Factors of 71 Using the Division Method

To find the factors of a number using the division method, you can divide the number by each number from 1 to the number itself, and check which numbers result in no remainder. The numbers that divide evenly into the original number are called factors.

For example, to find the factors of 71 using the division method, you can divide 71 by each number from 1 to 71 and see which numbers divide evenly into 71. Some examples of this process include:  

  1. Divide 71 by 1. 71 ÷ 1 = 71, with no remainder. 1 is a factor of 71.
  2. Divide 71 by 2. 71 ÷ 2 = 35.5, with a remainder of 0.5. 2 is not a factor of 71.
  3. Divide 71 by 3. 71 ÷ 3 = 23.66, with a remainder of 0.66. 3 is not a factor of 71.
  4. Divide 71 by 4. 71 ÷ 4 = 17.75, with a remainder of 0.75. 4 is not a factor of 71.

By continuing this process, you can find all the factors of 71. The factors of 71 are 1 and 71.

Prime Factorization of 71

Calculate Prime Factors of

The Prime Factors of 71 =

71

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The prime factorization of 71 is the expression of 71 as the product of its prime factors. Because 71 is a prime number, its prime factorization is simply 71 itself. This means that the prime factorization of 71 is written as 71.

To find the prime factorization of a number, you can express the number as the product of its prime factors. For example, the prime factorization of 15 is 3 x 5, because 15 can be expressed as the product of the prime numbers 3 and 5 (3 x 5 = 15).

The prime factorization of a number is written as the product of its prime factors. For example, the prime factorization of 71 is written as 71.

Factor tree of 71

71
https://wiingy.com/learn/math/factors-of-71/

A factor tree is a graphical representation of the prime factorization of a number. To find the factor tree of 71, you can follow these steps:

  1. Write the number 71 on a piece of paper.
  2. Find the smallest prime factor of 71. The smallest prime factor of 71 is 1.
  3. Divide 71 by 1 and write the result, 71, on the branch below 71.

Your factor tree should now look like this:71

/

1 71

71

To show that the factor tree is complete, you can draw a circle around the prime numbers, like this:

71

/

1 71

(71)

This shows that the prime factorization of 71 is 1 x 71 and that 1 and 71 are the prime factors of 71.

Factor Pairs of 71

Calculate Pair Factors of

1 x 71=71

So Pair Factors of 71 are

(1,71)

https://wiingy.com/learn/math/factors-of-71/

A factor pair of a number is a pair of numbers that can be multiplied together to give the original number. For example, the factor pairs of 71 include (1, 71).

To find all the factor pairs of 71, you can list out all the pairs of numbers that can be multiplied together to give 71. Some other pairs of factors include (1, 71) and (71, 1).

It is important to note that the order of the numbers in a factor pair does not matter. For example, (1, 71) and (71, 1) are both factor pairs of 71, because 1 x 71 = 71 and 71 x 1 = 71.

More Factors

Factors of 71 – Quick Recap

Factors of 71: 1 and 71

Negative Factors of 71: (-1, -71) 

Prime Factors of 71:  1 x 71

Prime Factorization of 71: 71

Factors of 71 – Fun Facts

  1. The factors of 71 are all the numbers that can be evenly divided into 71.
  2. The prime factors of 71 are 1 and 71 because they are the prime numbers that can be multiplied together to give 71 (1 x 71 = 71).
  3. The factors of 71 include 1 and 71.
  4. 71 is a prime number, which means that it has only two factors: 1 and itself.
  5. The sum of the factors of 71 (1 + 71) is 72.

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor 71

Q.1: What pairs of numbers multiplied together would equal seventy-one? Answer: Two numbers which when multiplied together would equal seventy-one are 1×71.

Q.2: If you divide seventy-one by three, what will the remainder be?
Answer:
The remainder when dividing seventy-one by three is two; 71/3= 23 with a remainder of 2.

Q.3: How many even numbers remain between one and seventy-one when all odd numbers are removed?
Answer:
Thirty-six even numbers remain between one and seventy-one when all odd numbers are removed; these would include 2, 4, 6, 8 10, 12 14, 16 18, 20 22, 24 26, 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 & 70.

Q.4: Find the prime factorization of seventy-one. 
Answer:
The prime factorization of seventy-one is 71 = 1 x 71; both being prime numbers. 

Q.5: Is seventy-one a prime factor of twelve hundred and twelve? 
Answer:
No, seventy-one is not a prime factor of twelve hundred and twelve; As on dividing 1212 by 7, the remainder is not 0.

Q.6: Find the least common multiple for forty-two and seventy-one.  
Answer:
The least common multiple for forty-two and seventy-one is 2982; this can be determined by multiplying both numbers together (42 x71 = 2982).

Frequently Asked Questions on Factors of 71

Is seventy-one a prime number?

Yes, seventy-one is a prime number.

Is seventy-one divisible by nine?

No, seventy-one is not divisible by nine; 71/9 = 7.8 with 0.8 remainders.

How many factors does the number seventy-one have?

Seventy-one has two factors; these would include 1, & 71.    

What is the greatest common factor of fourteen and seventy-one?

The factors of 14 are 1, 2, 7, and 14. The factors of 71 are 1 and 71.
The common factors of 14 and 71 are 1 because it is the only factor they both share.
Therefore, the greatest common factor of 14 and 71 is 1.

How many odd numbers remain between one and seventy-one when all even numbers are removed?

Thirty-five odd numbers remain between one and seventy-one when all even numbers are removed; these would include 1, 3, 5, 7, 9, 11, 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 & 69.

Written by

Prerit Jain

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