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Factors

Factors of 152 | Prime Factorization of 152 | Factor Tree of 152

Written by Prerit Jain

Updated on: 15 Feb 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 152 | Prime Factorization of 152 | Factor Tree of 152

Factors of 152 | Prime Factorization of 152 | Factor Tree of 152

Factors of 152

Factors of 152Factor Pairs of 152Prime factors of 152
1, 2, 4, 8, 19, 38, 76, 152(1, 152), (2, 76), (4, 38), (8, 19)2^3×19

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-152/

What are the factors of 152

To find the factors of 152, we can use either division or multiplication. With division, start by dividing 152 by prime numbers starting with 2 and continuing until you get a reminder that’s not 0 – this will tell us which numbers are (and aren’t) factors of our number. We divide 152 once to get 76; then again for 38; yet another time for 19; but when we divided 6 from 19 there was 1 left over so 3 is NOT a factor! The same thing happened when trying 5 and 7 too – they don’t work as factors either! So altogether, the four true factors of 152 are 2 x 2 x2x19 =152

How to Find Factors of 152

The main methods through which we can find the factors of a number are given below and those methods can be used to find the factors of 152. Those methods are as follows: 

  • Factor of 152 using Multiplication Method
  • Factors of 152 using Division Method
  • Prime Factorization of 152
  • Factor tree of 152

Factors of 152 using Multiplication Method

If you want to find the factors of a number, like 152 in this example, then try out the multiplication method!

  • Start by writing down all of the numbers between 1 and up until just before your number (in our case it’s 12.2). 
  • Then go through that list one at a time and see if any can be divided evenly into 152 – meaning there is no remainder when they are divided. 
  • If so, those numbers are called “factors” because each factor multiplied together makes your original starting number – so 2 x 2 x 2 x 19 =152. Give it a shot with different numbers too!

Factors of 152 Using Division Method

Let’s say you want to know what the factors of 152 are. To find out, we can use something called the division method! It helps us divide numbers by smaller prime numbers starting with 2 – like a puzzle where each answer provides clues for further questions until it finally leads us to an answer. 

In this case, 

  • First, we divided 152 by 2 which yields 76 and no remainder so that means one factor is two itself (2). Then when dividing again into 76 since there was still no remainder left then another factor turns up being two as well (2)! 
  • We repeated this process several times until our quotient result turned out 1 meaning we had gone through all possible combinations leaving only the true factors behind: namely twice-two plus 19 making them in total four altogether – or put differently these would be your final answers -> {2 x 2 = 4; 19 x 1 = 19}.

Prime Factorization of 152

Calculate Prime Factors of

The Prime Factors of 152 =

2 x

2 x

2 x

19

https://wiingy.com/learn/math/factors-of-152/

To figure out the prime factorization of a number, like 152, you can use either division or multiplication. To explain this to 5th graders: think about it as a grouping in terms of their smallest parts. Let’s do an example using division with 152 starting from its smallest part which is 2! We keep dividing by two until there are no more remainder left (or when our remainder becomes 1). This means that we divided all the way down and every time we divide something by 2 it has to be even so once our numbers reach odd then those ones don’t get factored into the original number. For 152 these were divided evenly -2)(76)(38)(19)- meaning that each one was divisible exactly twice making them factors for checking how many times your answer will fit back into 146! That’s why the Prime Factorization for 7245 is written as; “152 = (2 x 2 x 38)”, showing us how broken down 176 is when split up into its simplest form possible-greater than what cannot be separated any further.

Factor tree of 152

152276238219
https://wiingy.com/learn/math/factors-of-152/

When you are trying to figure out the factors of a number, like 152 for example, it can be helpful to draw something called a Factor Tree.

  • To make one start by writing down your number—in this case it’s 152–then put a box around it. 
  • Since not all numbers have prime factors we need to check if our number is also prime; in this case152 isn’t so divide that first factor (2) from the original and write 76 in another box under or next to what you wrote before with 2 beside it because that was the factor used! 
  • Then take those two boxes and do steps 3-5 again until no more dividers can come into play which means there aren’t any other possible numbers since they would all be the factors of the original, right?
    So when making our tree here: go ahead & keep dividing but watch out once someone comes up as “prime.”

Factor Pairs of 152

Calculate Pair Factors of

1 x 152=152

2 x 76=152

4 x 38=152

8 x 19=152

19 x 8=152

38 x 4=152

76 x 2=152

So Pair Factors of 152 are

(1,152)

(2,76)

(4,38)

(8,19)

(19,8)

(38,4)

(76,2)

https://wiingy.com/learn/math/factors-of-152/

Understanding factor pairs can be fun and help you better understand the multiplication process. Let’s use 152 as an example to get started. 

  • To find all its possible factor pairs we will have to break it down into smaller factors, like 2 and 76 or 19 times 8! All of these combinations give us a total that is equal to our original number – in this case, 152! 
  • We call each one of those combinations a “factor pair”. You may also notice that some of these combinations are able to repeat themselves (like with 2 &2). That’s because when using the same factors just switching their order still gives us our starting total – so they count twice since both those options add together for 152!

Factors of 152 – Quick Recap

Factors of 152:   1, 2, 4, 8, 19, 38, 76, 152 

Negative Factors of 152: -1, -2, -4, -8, -19, -38, -76, -152.

Prime Factors of 152: 2^3×19 

Prime Factorization of 152: 2^3×19 

Fun Facts of Factors of 152

  • 152 is just such an example! It’s special because it can break down into four different factors: 2^3 * 19. 
  • Being even also means the last digit of this unique number will always end in an “even” digit like 0,2 or 4…pretty cool right?! 
  • This makes it useful for solving various kinds of mathematical problems and computations as well as understanding how numbers interact with each other.

Examples of Factor of 152

1) What is the greatest common factor between 70 and 152?
Answer: The greatest common factor between 70 and 152 is 4.

2) Find four consecutive multiples of seven that add up to 152.
Answer: The four consecutive multiples of seven that add up to 152 are 7, 14, 21, and 28 (7 + 14 + 21 + 28 = 80).

3) What two numbers multiplied together equal 152?
Answer: The two numbers multiplied together which will be equal to 152are8 and 19 (8 × 19 = 152).

4) Divide 152 by its largest factor to find its smallest factor.
Answer: Divide 152 by its largest factor which is152to find its smallest factor; the answer is 1.

5) If a store sold a product for $152 before tax, how much would it cost with 8% tax added?
Answer: With 8% tax added the product would cost 164.16 dollars ($152 + ($152 x 0.08)= 164.16).

6) Rachel purchased 5 items at a store for $30 each plus tax at 8%. How much did she spend with tax included?
Answer: With tax included Rachel spent 163.20 dollars ((5×30)+((5×30)* 0.08)= 163.20).

7) Find three consecutive even integers whose sum equals 153.
Answer: The three consecutive even integers whose sum equals 153 are 76, 78, and 80 (76 + 78 + 80= 234).

8) Find two consecutive odd numbers whose product is equal to 153.
Answer: The two consecutive odd numbers whose product is equal to 153 are 17 and 19 (17 × 19 = 323).

9) How many prime numbers are factors of 152?
Answer:
Four prime numbers – 2, 3, 7, and 11 – are factors of 152.

10) What are the factors of 152? 

Answer: The factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152

Frequently Asked Questions on Factors of 152

What is the greatest common factor between 70 and 152?

The greatest common factor between 70 and 152 is 4.

What two numbers multiplied together equal 152?

The two numbers multiplied together equal 152 are 8 and 19 (8 × 19 = 152).

Find four consecutive multiples of seven that add up to 152.

The four consecutive multiples of seven that add up to 152 are 7, 14, 21, and 28 (7 + 14 + 21 + 28 = 80).

 Divide 152 by its largest factor to find its smallest factor.

Divide 152 by its largest factor which is152to find its smallest factor; the answer is 1.

If a store sold a product for $152 before tax, how much would it cost with 8% tax added?

With 8% tax added the product would cost 164.16 dollars ($152 + ($152 x0.08)= 164.16).

What are the factors of 152?

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152.

How many prime numbers are factors of 152?

Four prime numbers – 2, 3, 7, and 11 – are factors of 152.

Find three consecutive even integers whose sum equals 153.

The three consecutive even integers whose sum equals 153 are 76, 78, and 80 (76 + 78 + 80= 234).

Find two consecutive odd numbers whose product is equal to 153.

The two consecutive odd numbers whose product is equal to 153 are 17 and 19 (17 × 19 = 323).

Rachel purchased 5 items at a store for $30 each plus tax at 8%. How much did she spend with tax included?

With tax included Rachel spent 163.20 dollars ((5×30)+((5×30)* 0.08)= 163.20).

Written by

Prerit Jain

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