Factors

# Factors of 160 | Prime Factorization of 160 | Factor Tree of 160

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 160 | Prime Factorization of 160 | Factor Tree of 160

## Factors of 160

Factors of 160 | Factor Pairs of 160 | Prime factors of 160 |

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. | (1, 160), (2, 80), (4, 40), (5, 32), (8, 20) and (10, 16) | 2 × 2 × 2 × 2 × 2 × 5 |

Calculate Factors of

**The Factors are**

## What are the factors of 160

It’s like a multiplication challenge – can you figure out what numbers go together to give the result of 160? Here’s how: start with 1, because any number multiplied by 1 is itself. Then multiply that number by 2 and keep multiplying it until you get up to 20 (2x2x2x2). That gives us 16 as one factor. Now if we take an additional step and multiply this same set of powers of two times 5 we’ll end up at 160! There are actually twelve different ways all these combinations break down into factors – so be sure to count carefully in your hunt for answers.

## How to Find Factors of 160

The major methods of finding the factors of 160 are as follows:

- Factor of 160 using Multiplication Method
- Factors of 160 using Division Method
- Prime Factorization of 160
- Factor tree of 160

## Factors of 160 using Multiplication Method

To find the factors of 160, we need to use something called a multiplication method! This is like finding two pieces in the jigsaw puzzle that fit together perfectly. To do this, you take any number and multiply it with another until they equal 160 – for example, 1 multiplied by 160 equals 160 so (1 and 160) are factor pairs. The same goes for 2 x 80 =160; 4×40=160 and 5*32=160 which get us other sets of pair factors – (2 & 80),(4& 40), or (5 & 32). In short these numbers when put together give you the answer- Factors Of 16.

## Factors of 160 Using Division Method

To find the factors of a number, like 160, you can use the division method! This means that we take our starting number (160) and divide it by each integer from 1 to its square root. A square root is just shorthand for how many times one whole number needs to be multiplied together in order to equal your original starting point – so when we say “the square root of 160,” what this really means is “what two numbers do I need multiply together in order get back my initial value?” For example, if 5 x 8 = 40 then 8 would be the ‘square root’ of 40; or 4×4=16, meaning that 4 must have been 16’s ‘square root.’ Now let’s apply this same idea with our factor-finding problem: We start at 1 and work up until we reach 13(since 13×13 – 169), but as soon as see any remainder other than 0 after dividing out 2nd/3rd/4th, etc…time around-we know all possible options below the line are no longer viable answer choices since clean divisions are needed for true factors. In other words, If a remainder appears instead, it will tell us whether something does not fit into neat invisible boxes underneath & thus cannot likely contribute possibilities on the list above. Applying these steps led us here today:1,2,4,,5 …..80 ….and finally lastly ending upon which? You guessed right! The final solution was..160

## Prime Factorization of 160

Calculate Prime Factors of

The Prime Factors of 160 =

2 x

2 x

2 x

2 x

2 x

5

Prime factorization is a process of finding the prime numbers that multiply together to make an original number. For example, let’s look at how we can find the prime factorization for 160! We start by taking this number and dividing it by two (the smallest possible Prime Number). This gives us 80 = 2 x 80. Then divide this new result -80-by two again, which results in 40 =2x2x20. So far so good; proceed with another division of 40/2= 20 = 2x2x5! Since 5 is already a prime number there’s no more need to divide anymore: our final answer would be 160 as the product between Four twos multiplied with one five– written like this: Two raised to 4th power times Five equals 160 or better known as 𝟐⁴ × 𝟓=160.

## Factor tree of 160

A factor tree is an awesome tool that can help us understand what makes a number really special! To make one for 160, we first write it at the top of our drawing. Then, draw two branches coming out from that and underneath each branch put a number you dividing into by evenly to get your original – in this case 2 & 80. Do the same thing again but with those numbers replacing where “160” was now — still keeping all 3 circles connected. This time: 2 & 40 come up as choices on either side! Finally, do it once more so between the 40s two sides there are only ones- leaving us with: 2, 20! What’s cool about making a Factor Tree like this is being able to SEE how everything comes together 🙂

## Factor Pairs of 160

Calculate Pair Factors of

1 x 160=160

2 x 80=160

4 x 40=160

5 x 32=160

8 x 20=160

10 x 16=160

16 x 10=160

20 x 8=160

32 x 5=160

40 x 4=160

80 x 2=160

So Pair Factors of 160 are

(1,160)

(2,80)

(4,40)

(5,32)

(8,20)

(10,16)

(16,10)

(20,8)

(32,5)

(40,4)

(80,2)

Factor pairs are like pieces of a puzzle! To get the finished product, you have to put them together in the right way. For example, if we were trying to find out what number is equal to 160 when multiplied by its factors then our factor pair puzzle would be made up of 11 different pieces; 1 and 160; 2 and 80; 4 and 40; 5 and 32; 8 and 20; 10 and 16; 16and10 20and8, 40an4, 80 and 2, 160 and 1. And once all these numbers are put together correctly – Voila!, We now know that multiplying any two from this list will give us an answer of 160!

## Factors of 160 – Quick Recap

**Factors of 160:** 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160.

**Negative Factors of 160:** -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -80, and -160.

**Prime Factors of 160:** 2 × 2 × 2 × 2 × 2 × 5

**Prime Factorization of 160:** 2 × 2 × 2 × 2 × 2 × 5

## Fun Facts of Factors of 160

- It has 12 factors, which means it can be divided by all the numbers from 1 to 10 and then 16 too.
- In addition to this, if we multiply 4 squared (4^2) times 5 (5), or add 6 cubes plus 5 cubes together – both of them give us an answer of 160!

That’s why it’s not a prime number but instead called composite because two other smaller numbers multiplied to make up its value. - Those same small values can also combine in three ways -by making squares out of one group being added with another- so they equal 160 as well.

Another cool thing about 160: when you take each digit separately and add them together like “1 + 6+ 0”, their sum equals 7; oh yeah, every time!!! - So even though many don’t realize how great it is now…maybe after reading this your peers will understand just what makes Number #160 truly stand out amongst the rest!!

## Examples of Factor of 160

**1) Jane wants to know the factors of 160. How many factors does 160 have?****Answer:** 160 has 4 factors: 1, 2, 4, 8, 16, 32, 64, and 160.

**2) What is the greatest common factor (GCF) of 160 and 800?****Answer: **The greatest common factor (GCF) of 160 and 800 is 80.

**3) Thomas needs to find the sum of all the factors of 160. What is it?****Answer:** The sum of all factors of 160 is 240.

**4) How would you find the prime factorization of 160?****Answer: **The prime factorization of 160 is 2 × 2 × 2 × 2 × 5× 5.

**5) Does 159 have any perfect squares as its factors?****Answer: **No,159 does not have any perfect squares as its factors.

**6) What are the multiples of 159?****Answer: **The multiples of 159 are 159,318,477,636…etc. **7) Is 156 a perfect square?****Answer: **No,156 is not a perfect square.

**8) Emmett wants to find the least common multiple (LCM) of 160. What is it?****Answer: **The least common multiple(LCM)of 160 is 320.

**9) What are the factors of 161?****Answer: **The factors of 161 are 1, 7, 23, and 161.

**10) Is 159 a composite number?Answer: **Yes,159 is a non-prime composite number.

## Frequently Asked Questions on Factors of 160

** What are the factors of 160?**

The factors of 160 are 1, 2, 4, 8, 16, 32, 64, and 160.

**What is the greatest common factor (GCF) of 160?**

The greatest common factor (GCF) of 160 is 1.

**How many factors does 160 have?**

160 has 8 factors: 1, 2, 4, 8, 16, 32, 64, and 160.

**What is the sum of all the factors of 160?**

The sum of all factors of 160 is 240

**How would you find the prime factorization of 160?**

The prime factorization of 160 is 2 × 2 × 2 × 2 × 5× 5.

**Does 159 have any perfect squares as its factors?**

No,159 does not have any perfect squares as its factors.

**What are the multiples of 159?**

The multiples of 159 are 159,318,477,636…etc.

**Is 156 a perfect square?**

No,156 is not a perfect square.

**What is the least common multiple (LCM) of 160?**

The least common multiple(LCM) of 160 is 320.

**Are there any prime numbers in the set of factors for 159?**

No; all the numbers that are factors for 159 are composite numbers.

Written by by

Prerit Jain