Factors

# Factors of 157 | Prime Factorization of 157 | Factor Tree of 157

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 157 | Prime Factorization of 157 | Factor Tree of 157

## Factors of 157

Factors of 157 | Factor Pairs of 157 | Prime factors of 157 |

1, and 157 | (1, 157) | 157 |

Calculate Factors of

**The Factors are**

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

## What are the factors of 157

157 is a special kind of number called a prime. This means that it has two secret ingredients in its recipe: 1 and itself! It’s like the only dessert at an ice cream shop – there are no other flavors to choose from, so it must be eaten on its own. Because 157 can’t be separated into any additional numbers, you know those two factors (1 and 157) will always add up to equal this unique number. They’re the perfect combination for making something as awesome as 157!

## What are the factors of 157

157 is a special kind of number called a prime. This means that it has two secret ingredients in its recipe: 1 and itself! It’s like the only dessert at an ice cream shop – there are no other flavors to choose from, so it must be eaten on its own. Because 157 can’t be separated into any additional numbers, you know those two factors (1 and 157) will always add up to equal this unique number. They’re the perfect combination for making something as awesome as 157!

## How to Find Factors of 157

The major ways through which you can find the factors of 157 are as follows:

- Factor of 124 using Multiplication Method
- Factors of 124 using Division Method
- Prime Factorization of 124
- Factor tree of 124

## Factors of 157 using Multiplication Method

Did you know that 157 is a special number? A prime, to be exact! That means it can’t be made by multiplying any two other numbers together. In fact, the only way to make 157 with multiplication is by taking our smallest number (1) and then multiplying it by itself: 1 x 157 =157! So if we’re looking for factor pairs of this prime using just multiplication, all we have are these 2 magical numbers – 1 & 157.

## Factors of 157 Using Division Method

Prime numbers are very special and unique — they can only be divided by 1 or themselves. That’s why 157, a prime number, is so easily recognizable! If we take the division method to figure out all of its factors (the way you divide something in two), then the answer will always just be 1 and itself: I like to think that means each one stands alone as an individual kingdom unto itself!

## Prime Factorization of 157

Calculate Prime Factors of

The Prime Factors of 157 =

157

Prime numbers is a special kind of number because they can only be divided by themselves and the number 1. For example, take 157 – it’s a prime number so its prime factorization is simply 157! That means that we cannot write down any other factors for this particular number since it doesn’t have them; if you divide 157 by anything else besides itself or 1, you won’t get an even answer. This makes our lives easier when multiplying two large numbers together as long as one of those two is prime!

## Factor tree of 157

Have you ever tried to build a tree out of numbers? Well, when it comes to prime numbers like 157 they don’t need any more divisions and so we can’t make them into factor trees! A factor tree is an amazing tool that helps us figure out what makes up our number by dividing the bigger parts until all pieces are prime.

For instance, if I were trying to find the factors for 156 then after some division my factoring tree would look something like this:

156 χ 2 = 78; 78 ÷ 2 = 39; 39 Χ 3 13; 13 X3=39. So in total 156 has two sets of factors- (2 x 78) & (3Χ13).

## Factor Pairs of 157

Calculate Pair Factors of

1 x 157=157

So Pair Factors of 157 are

(1,157)

Prime Numbers have a special quality that makes them unique from other numbers. 157 is one example of these, and it’s the only number with two factors: 1 & 157 (and their reverse pair). A factor pair is simply 2 numbers that multiplied together give you the original number – in this case, it’d be 1 x 157 =157!

## Factors of 157 – Quick Recap

**Factors of 157:** 1, and 157.

**Negative Factors of 157:** -1, and -157.

**Prime Factors of 157:** 157

**Prime Factorization of 157:** 157

## Fun Facts of Factors of 157

- 157 is an interesting prime number! It’s the first one of a special type – 8n + 5. That means it can be written as 8 x some other number plus 5, putting in any whole numbers you like. If we pick 25 for that “some other number,” then 157 = (8×25) +5 or 200+57=157!
- Amazingly enough, this single result works out two different ways so that 157 equals both 11 and 59 added to different higher numbers — 213 and 219 respectively.
- Even more impressively, when used 156 & 12 together in a Pythagorean Triple Formula measuring triangle sides with rational lengths each time, again they always add up to form the same unique 157 value every single time too!
- And if all those facts weren’t already noticing-worthy on their own here’s another fun fact about this Prime Number: Unlike some Palindromic Primes where its digits read identical whether forwards or backward – such as 101 which spells ‘101′ either way — no matter how many times you try rearranging these three specific digits 1, 4, 7, it will never spell ‘157’, neither forward nor backward.

## Examples of Factor of 157

**1) Samantha had 157 pieces of candy. She wants to divide them evenly between 3 people. How many pieces will each person get?****Answer: **Each person will get 52 pieces (157÷3=52).

**2) Joe was given 157 coins as a gift. He found out that the coins were composed of one-dollar coins, fifty-cent coins, and twenty-five-cent coins. If he had an equal number of each type of coin, how many coins of each did Joe have? ****Answer: **Joe had 51 one-dollar coins, 51 fifty-cent coins, and 55 twenty-five-cent coins ((157÷3=51)+(51×2=102)).

**3) John has 157 apples and wants to divide them into 7 groups with the same number in each group. How many apples would there be in each group?****Answer: **Each group would have 22 apples (157÷7=22).

**4) Tina needs to buy 157 boxes of chocolates for her store. She knows that they come in packs of 5 and 7. What is the greatest number she can buy with packs of both sizes?****Answer: **Tina can buy 68 boxes with packs of both sizes ((17×7=119)+ (3×5=15)=134).

**5) There are 157 students in the school. If there are 5 classrooms with 31 students in each, how many students per classroom would there be?****Answer:** There would be 31 students per classroom (157÷5=31).

**6) Mark wanted to cut a piece from a cake that weighed 157 grams so that it weighed half as much as before. How much would the piece weigh after it was cut?****Answer:** The piece after cutting would weigh

78.5 grams (157/2 = 78.5).

**7) Emma had 157 berries and needed to distribute them evenly among 11 jars. How many berries should go into each jar?**Answer: Each jar should contain 14 berries(157÷11 =14).

**8) Paul caught 157 fish during his fishing trip and wants to give away 16 fish at the end of the day but keep 4 for himself. How much fish can he give away?**Answer: Paul can give away 112 fish(16×7=112).

**9) Jordan collected 57 rocks from the beach but his friend wanted him to bring enough stones so that they divide equally between 6 people including himself. How many stones does Jordan need to collect in order to satisfy everyone’s desires?****Answer: **Jordan needs to collect one hundred and fifty-seven stones(6×26=156+1extra), so he can have 26 stones for each person including himself.

**10) Jeff has a collection of 157 stamps and he wants to divide them into 33 groups with an equal number of stamps in each group, what is the exact number of stamps in every group? Answer:** Every group will contain 4 stamps (157 ÷ 33 = 4).

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 on Factors of 157

**What is the factor of 157?**

The factors of 157 are 1, 3, 17, 51, and 157.

**How many factors does 157 have?**

157 has five factors – 1, 3, 17, 51, and 157.

**What is the greatest common factor between 70 and 157?**

The greatest common factor between 70 and 157 is 1.

**Are there any even numbers that are factors of 157?**

No, there are no even numbers that are factors of 157.

**What two prime numbers multiplied together equal 154?**

The two prime numbers multiplied together equal 154 are 23 and 7 (23×7=161).

**In what ways could one double a number and then divide it by its greatest factor to get the same number back?**

If you double a number and then divide it by its greatest factor (i.e., its largest prime factor), you will get the same number back. For example, if you double 157 to 314 and then divide it by its greatest factor (17), the result will still be

18.

**What three consecutive odd integers have a sum of 156?**

The three consecutive odd integers whose sum equals 156 are 51, 53, and 55(51+53+55=159).

**Find two consecutive multiples of 31 that multiply together to produce 155. **

The two consecutive multiples of 31 that multiply together to produce155 are31 and 62(31×62=1922).

**How can I divide 155 into equal parts so each part has the same value?**

You can divide 155 into five equal parts of 31 pieces each or into seven equal parts of 22 pieces each or into fifteen equal parts of 10 pieces each or into thirty-one equal parts of 5 pieces each or into seventy-six equal parts of 2pieces each or into one hundred and fifty-five equal parts of 1 piece each.

**If Mary was given $155 at a store for free, how much money could she buy for her three friends with an 8% tax added?**

With an 8% tax added Mary could buy items worth $ 167.40 ($155 + ($155 x 0.08)= 167.40). As such, she could buy items worth$ 55.80 each (3x 55.80=167.40)for her three friends with the given amount.

Written by by

Prerit Jain