Factors

# Factors of 155 | Prime Factorization of 155 | Factor Tree of 155

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 155 | Prime Factorization of 155 | Factor Tree of 155

## Factors of 155

Factors of 155 | Factor Pairs of 155 | Prime factors of 155 |

1, 5, 31, 155 | (1, 155), (5, 31). | 5 x31 |

Calculate Factors of

**The Factors are**

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## What are the factors of 155

To find the factors of a number like 155, we can divide it by every whole number from 1 up to that same number. If when you divide them together there is no remainder left over (called zero) then those two numbers are called “factors”. For example, if I divided 155 and 5 together – which for this calculation would be written as, 155 ÷ 5 = 31 – then both of these numbers could act as “factors” because their answer doesn’t have any leftovers! So with our example here, the four factors in addition to one another all make up exactly what was asked; they give us an answer of 155! The 4 factors added together equal out to be: 1 + 5 + 31+155=192.

## How to Find Factors of 155

The major methods through which you can find the factors of 155 are as follows:

- Factor of 155 using Multiplication Method
- Factors of 155 using Division Method
- Prime Factorization of 155
- Factor tree of 155

## Factors of 155 using Multiplication Method

To find the factors of a number like 155, one way to do it is through multiplication. This means multiplying two numbers together until we reach our desired result. Let’s try this out!

- First, start with 1 and 155 as your first pair – those multiplied together will give you 155. Now let’s look for other pairs that when multiplied also equal the same total – like 2 and 77 (2 x 77 = 154) or 3 and 51 (3 x 51 = 153).
- That doesn’t add up quite right just yet so keep looking; maybe 5 multiplies by 31? Yes indeed! When we multiply them both together: 5 x 31 = 155, now we have our second factor pair 🙂 In all then, there are two different factor sets obtained from using the Multiplication Method: they are (1,155), and (5,31).

## Factors of 155 Using Division Method

Do you want to find out what the factors of a number are? Well, we can use something called Division Method. This means that if we have any number as an example here let us say 155 then to figure out its factors – all numbers that divide into it evenly without leaving anything left over-we take each integer from 1 up until our original given number (in this case 155) and check whether when dividing them by our starting value there’s no remainder(meaning nothing is left over).

- So for example, with 155÷1=155 there’s no remaining so 1 is a factor but 2 isn’t because when divided by 2 the remainder is 1 so it doesn’t in the factors list in this case!
- We continue doing this until on reaching the middle value of our original number falls on a number with no remainders in this case we have 31and finally our starting value the maximum possible factor which will always be a positive integer is in the right place to normally close is equation if factoring! In conclusion, the three Factors of 155 obtained through the division method were: 1, 5, and 31!

## Prime Factorization of 155

Calculate Prime Factors of

The Prime Factors of 155 =

5 x

31

Prime factorization is a way to break down any number into its simplest form! For example, the prime factors of 155 are 3 and 5.

- To figure this out we start by dividing 155 by 2 (the smallest prime number) – however, it won’t divide evenly so instead try with the next prime which is 3; when divided they make 31!
- We can now take 31 and repeat our division process until it’s broken down all the way: 10 x 3 = 30 + 5 = 35. And since there aren’t any more small primes that fit, like 7 or 11, etc., then you know you’ve found your answer- in this case both five and three were needed for155=5×3.

## Factor tree of 155

A factor tree is like a puzzle that helps us unlock the secret of any number! Let’s use it to explore how 155 can be broken down into prime factors.

- We start by writing “155” at the top, then draw two branches coming out from there with 5 and 31 written on them (5 goes in one branch because it is the smallest prime number that divides evenly into 155).
- Then we repeat these steps for 31 since this time it’s not an ordinary number -it’s already a Prime Number so all we need to know now is our final answer: The Prime Factorization of 155 = 5 x31. Now you try solving some numbers using your own factor trees!

## Factor Pairs of 155

Calculate Pair Factors of

1 x 155=155

5 x 31=155

31 x 5=155

So Pair Factors of 155 are

(1,155)

(5,31)

(31,5)

Let’s find out the factor pairs of 155 together!

- First, we need to figure out a way to identify what numbers are factors. A factor is two number that when multiplied give you another certain number – in this case, it will be 155. To do this, let’s take each integer from 1 up until the square root of 155 (which happens to be 12) and divide it into our original number – so for example, if I were dividing 11 into 156 I would get 14 with no remainder; because there isn’t any leftover its means these two integers can multiply together and equal 154 which makes them ‘Factor Pairs”! So my ‘factor pair’ would look like: (11,14).
- When we apply this same technique using all the whole numbers between 1-12 then all combinations where there is no remainder become Factor Pairs for155; meaning they have successfully been used once with one other integer resulting in an answer of exactly155! These include :(1/1555), 5 & 31 ,31&5 and 1551.
- It doesn’t matter if some values appear twice such as 5 and 31 or vice versa, they still form part of two different pairs but just relate back to both original entities being multiplied making them factor pairs nonetheless.

## Factors of 155 – Quick Recap

**Factors of 155:** **1, 5, 31, 155**

**Negative Factors of 155:** -1, -5, -31, -155.

**Prime Factors of 155:** 5 x31

**Prime Factorization of 155:** 5 x31

## Fun Facts of Factors of 155

- 155 is a composite number, which means it can be made up of two or more prime numbers multiplied together. Prime numbers are special because they don’t have any factors other than 1 and themselves – think 5, 7, 11… In the case of 155, we need to multiply 5 by 31.
- We call all these pieces that make up 155 ‘factors’, so there are four in total: 1,5,31, and 155 itself!
- We also like to add them altogether when looking at some cool properties about our Composite Number- this makes 193 (if you include 1 AND155). All these little parts working together help us figure out if it’s something extra special too – like being able to choose certain sums from those same proper divisors–but unfortunately for poor old 154; she isn’t one.

## Examples of Factor of 155

**1)If Michael had one piece of 155 candy, how could he divide it between 5 people so that each person has the same amount?****Answer:** Michael can divide the candy into five equal parts of 31 pieces each.

**2) What is the least common multiple of 3 and 155?****Answer: **The least common multiple of 3 and 155 is 465.

**3) How many even numbers are factors of 155?****Answer: **Two even numbers – 2 and 78 – are factors of 155.

**4) What would be the effect on a number if doubled and then divided by its greatest factor?****Answer: **If a number is doubled and then divided by its greatest factor, it will remain unchanged. For example, if 155 is doubled to 310 and then divided by its greatest factor (31), the result will still be 10.

**5) 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?****Answer: **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 (3 x 55.80 = 167.40) for her three friends with the given amount.

**6) If Maria purchased 6 items at a store with 8% tax included where each item cost $25, how much did she spend in total?****Answer: **Maria spent $ 163.20 in total ((6×25)+((6×25)* 0.08)= 163.20).

**7) How many multiples of 9 add up to 155? ****Answer: **Four multiples of nine add up to 155; they are 9, 18, 27, and 36 (9 + 18 + 27 + 36 = 90).

**8) Using odd consecutive integers whose sum is equal to 155, what would be the difference between their largest integer and their smallest integer?****Answer: **The difference between their largest integer and their smallest integer is 6; the three consecutive odd integers whose sum equals 155 are 51, 53, and 55(51+53+55=159); thus, 55 – 51 = 6 .

**9) Find two consecutive multiples of 31 that multiply together to produce 155 Answer: **The two consecutive multiples of 31 that multiply together to produce 155 are 31and 62(31×62=1922).

**10) What two prime numbers multiplied together equal 154?****Answer: **The two prime numbers which multiplied together equal 154 are 17 and 11(17×11=187).

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## Frequently Asked Questions on Factors of 155

**What factors make up 155?**

The factors of 155 are 1, 5, 31, and 155.

**What is the greatest common factor between 70 and 155?**

The greatest common factor between 70 and 155 is 5.

** Find four consecutive multiples of five that add up to 155.**

The four consecutive multiples of five that add up to 155 are 5, 10, 15, 20 (5 + 10 + 15 + 20 = 50).

**How many prime numbers are factors of 155?**

Three prime numbers – 5, 31, and 151 – are factors of 155.

**Divide 155 by its largest factor to find its smallest factor.**

Divide 155 by its largest factor which is 31to find its smallest factor; the answer is 5.

**If a store sold a product for $155 before tax, how much would it cost with 8% tax added?**

With 8% tax added the product would cost 167.40 dollars ($155 + ($155 x 0.08)= 167.40).

**Find three consecutive odd integers whose sum equals 155.**

The three consecutive odd integers whose sum equals 155 are 51, 53, and 55(51+53+55=159).

**Find two consecutive even numbers whose product is equal to 156.**

The two consecutive even numbers whose product is equal to 156 are 28 and 30(28×30=840).

**Rachel purchased 4 items at a store for $39 each plus tax at 8%. How much did she spend with tax included?**

With tax included Rachel spent 163.12 dollars ((4×39)+((4×39)* 0.08)= 163.12).

**What two numbers multiplied together equal 155?**

The two numbers which multiplied together equal 155 are 3 and 51 (3 × 51 = 153).

Written by by

Prerit Jain