Factors

# Factors of 151 | Prime Factorization of 151 | Factor Tree of 151

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 151 | Prime Factorization of 151 | Factor Tree of 151

## Factors of 151

Factors of 151 | Factor Pairs of 151 | Prime factors of 151 |

1, 151 | (1, 151) | 151 |

Calculate Factors of

**The Factors are**

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## What are the factors of 151

To find the factors of a number, like 151 for example, you simply have to do some division! Start by dividing it by 2 and see if that divides evenly into the number. If not, keep moving up in prime numbers until one does divide evenly. That will be your first factor! Then take what is left over from that division and see if any other primes can evenly divide it – those new results will also be factors of 151 too! And then finally don’t forget 1 always works as well as itself so they are both considered its own special kind of factor too! All together now: The factors of 151 are 1, 3 (151 divided once by 3 = 49), 49 (divide again by 3 = 16) and lastly we get back to where we started with 151 itself.

## How to Find Factors of 151

The major methods through which we can find the factors of 151 are as follows:

- Factor of 151 using Multiplication Method
- Factors of 151 using Division Method
- Prime Factorization of 151
- Factor tree of 151

## Factors of 151 Using Multiplication Method

Factors are special numbers that can be multiplied together and equal to another number. To find them, let’s use an awesome multiplication method!

Well firstly, it helps if we make a list of all possible values from 1 up until around 12 (the square root of our original value). This means writing down {1, 2,3,4,5,6 7 8 9 10 11 12}. Now comes the fun part- dividing each item in this list by 16 which will show us whether or not they’re factors. For example, when diving 151 by 1 there is no remainder so: The answer is YES – 1 *151 =151 meaning one factor must definitely be “1”.

We repeat this process with various other items on our list such as 3 but again here there’ll never be 0 leftover proving 3 isn’t a factor either. Finally, after going through every single option on our shortlist only one result has occurred twice; divisible without any remainders whatsoever making both those answers valid: meaning “The only two factors for 151 are 1’and ‘151’.

## Factors of 151 Using Division Method

If you wanted to find the factors of a number, like 151 for example, then all you’d have to do is use the division method. To start off with this approach simply divide your chosen number by 1 and if there’s no remainder (leftover) at the end that means it works! So in our case, since 151 divided by 1 was still just 151 we know that one has to be a factor of 151. Now let’s try 3: when dividing 151 by 3we get 50 with a remainder of 1 –oops – not gonna work either so three isn’t a factor this time around…Keep going through 5,7 11and13buttosee which ones work! Can you figure out why? It’s because only those numbers whose remainders are 0 will be the factors–all the rest will have another number leftover at the end!!

## Prime Factorization of 151

Calculate Prime Factors of

The Prime Factors of 151 =

151

To figure out the prime factorization of a number, like 151 in this example, we use something called division! It’s kind of like when you divide your candy at school – but instead, it uses special numbers. So first we start by dividing 151 by 2 (the smallest prime number). When it’s not divisible though that means 2 is not one of the factors so what do we do? We move on to the next biggest Prime Number and try again! In our case, that’s 3 so then if divides evenly into 150 — brilliant!! That would mean 3 was a part factor or sometimes two or three might fit- however since 151 doesn’t go exactly even with either option — no luck there either. Therefore—2 &3 don’t work– moving on to 5… Still can’t get it to divide neatly which takes us to 7… Then 11 ….and finally 13! Once we hit 13, it divides into 151!! Therefore, the prime factors of 151: 13 * 11 = 153.

## Factor tree of 151

A factor tree is a really cool way to figure out what makes up a number.

To make one, let’s take the example of 151!

- Start by writing 151 at the top of your paper and drawing a box around it – this will be our starting point for figuring out its factors (or things that can divide into it). Next, look for something that isn’t 1 or possibly equals to151 itself – since all numbers are made up of other parts we’ll want to split these apart until they only contain prime numbers (these are special kinds of numbers where you cannot break them down any further!).
- In this case though, when we looked at finding factors there wasn’t anything else left so our “tree” just contained one branch with “151.” That means — yay!– 151 is actually a prime number which means it cannot be divided anymore!

## Factor Pairs of 151

Calculate Pair Factors of

1 x 151=151

So Pair Factors of 151 are

(1,151)

Knowing your factor pairs can help you in many ways. Let me explain with an example!

Let’s say we are looking for the factors of number 151. It might be hard to remember what numbers multiply together without searching through all possible combinations, so that is when understanding what a “factor pair” means comes into play.

A factor pair simply tells us two things:

- Firstly which two whole numbers multiplied together to give us our original number.
- Secondly how each one relates to the other (ie, if they’re both even or odd). In this case, 1×151=151 – so these would be considered as our factor pairs for 151 because when those 2 integers are put together and then multiplied, it gives us back our answer of 151.

Therefore, the factor pair of 151 is (1, 151).

## Factors of 151 – Quick Recap

**Factors of 151:** 1, 151

**Negative Factors of 151:** -1,-151.

**Prime Factors of 151:** 151

**Prime Factorization of 151:** 151

## Fun Facts of Factors of 151

- 151 is a special kind of number because it’s only divisible by 1 and itself.
- It has something called “prime” power which makes it hard to divide into small pieces! That means that 151 can be used in things like cryptography, where keeping your information safe is extra important.
- This unique property also makes Prime numbers odd – all except for 2 are not able to be divided evenly by 2!

## Examples of Factor of 151

**1) If a company donated 151 dollars to charity, how much did each of the five charities receive if the money was split equally? ****Answer:** Each charity would receive 30.2 dollars (151 divided by 5 = 30.2).

**2) What two numbers multiplied together equal 151?****Answer: **The two numbers multiplied together equal 151are3 and 51 (3 × 51 = 153).

**3) Find four consecutive multiples of seven that add up to 151.****Answer: **The four consecutive multiples of seven that add up to 151 are 7, 14, 21, 28 (7 + 14 + 21 + 28 = 70).

**4) If a store sold a product for $151 before tax, how much would it cost with an 8% tax added? ****Answer:** With 8% tax added the product would cost 164.08 dollars ($151 + ($151 x 0.08)= 164.08).

**5) How many prime numbers are factors of 151? ****Answer: **Three prime numbers – 3, 7, and 11 – are factors of 151.

**6) Find two consecutive odd numbers whose product is equal to 152.****Answer: **The two consecutive odd numbers whose product is equal to 152 are 17 and 19 (17 × 19 = 323).

**7) Divide 151 by its largest factor to find its smallest factor. ****Answer:** Divide 151 by its largest factor which is151to find its smallest factor; the answer is 1.

**8) Find three consecutive even integers whose sum equals 151.Answer:** The three consecutive even integers whose sum equals 151 are 76, 78, and 80 (76 + 78 + 80= 234).

**9) What is the greatest common factor between 70 and 151?**

Answer:The greatest common factor between 70 and 151 is 7.

Answer:

**10) What are the factors of 151? Answer:** The factors of 151 are 1, 3, 7, 11, 21, 33, 77, and 151.

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## Frequently Asked Questions on Factors of 151

**What are the factors of 151?**

The factors of 151 are 1, 3, 7, 11, 21, 33, 77, and 151.

**How many prime numbers are factors of 151?**

Three prime numbers – 3, 7, and 11 – are factors of 151.

**What is the greatest common factor between 70 and 151?**

The greatest common factor between 70 and 151 is 7.

**What two numbers multiplied together equal 151?**

The two numbers multiplied together equal 151are3 and 51 (3 × 51 = 153).

**If a store sold a product for $151 before tax, how much would it cost with 8% tax added?**

With 8% tax added the product would cost 164.08 dollars ($151 + ($151 x 0.08)= 164.08).

**Find three consecutive even integers whose sum equals 151.**

The three consecutive even integers whose sum equals 151 are 76, 78, and 80 (76 + 78 + 80= 234).

**Find four consecutive multiples of seven that add up to 151.**

The four consecutive multiples of seven that add up to 151 are 7, 14, 21, 28 (7 + 14 + 21 + 28 = 70).

**Divide 151 by its largest factor to find its smallest factor.**

Divide 151 by its largest factor which is151to find its smallest factor; the answer is 1.

**Find two consecutive odd numbers whose product is equal to 152.**

The two consecutive odd numbers whose product is equal to 152 are 17 and 19 (17 × 19 = 323).

**Rachel purchased 4 items at a store for $38 each plus tax at 8%. How much did she spend with tax included?**

With tax included Rachel spent 161.44 dollars ((4×38)+((4×38)* 0.08)= 161.

Written by

Prerit Jain