Factors

# Factors of 159 | Prime Factorization of 159 | Factor Tree of 159

Written by Prerit Jain

Updated on: 18 Aug 2023

Contents

### Factors of 159 | Prime Factorization of 159 | Factor Tree of 159

## Factors of 159

Factors of 159 | Factor Pairs of 159 | Prime factors of 159 |

1, 3, 53, 159 | (1, 159), (3, 53) | 3 x 59 |

Calculate Factors of

**The Factors are**

## What are the factors of 159

Did you know that the number 159 is very special? It’s the 25th prime number, which means it can only be divided by itself and 1. Plus, if we add up all of the cubes of the first 4 natural numbers (1^3 + 2^3 + 3^3 + 4^3), our answer will also equal to 159! Also, an interesting fact about this number – If you take three consecutive prime numbers such as 53+59+67 together they make a total sum of 159! Lastly, although there are many words or phrases like “racecar” that sound exactly the same when read backward and forward; unfortunately for us ‘159’ does not have those qualities- making it more unique amongst other numbers!

## How to Find Factors of 159

Listed down are the methods through which you can find the factors of 159:

- Factor of 159 using Multiplication Method
- Factors of 159 using Division Method
- Prime Factorization of 159
- Factor tree of 159

## Factors of 159 using Multiplication Method

159 is a very special number. That’s because it has something called factors – and for most numbers, you can find two or more of these by multiplying them together! But when we look at the number 159, there are no other combinations besides 1 multiplied with 159 that will give us this same answer. So if we take the ‘1’ part of this equation out – like taking away one step in a game of hopscotch- all that would be left over to jump on is “159” which makes it so unique from other numbers!

## Factors of 159 Using Division Method

The number 159 is special because it can only be divided by 1 and itself. That means that no other numbers, like 2 or 3, divide evenly into 159; they leave a remainder behind! We call this type of number “prime.” To figure out the factors for any prime number (like we have with our example of 159), use something called Division Method. This method involves dividing the original prime number—in this case, 159—by smaller and smaller whole numbers until you hit just 1 and the initial prime number–159 again! In summary: if you’re trying to find all possible factors for a given Prime Number like159, try using the division method –you should end up finding 1 and the Prime Number as factors, again and again, each time you divide it by other numbers until reach only 1and only that Prime number as you result finally!

## Prime Factorization of 159

Calculate Prime Factors of

The Prime Factors of 159 =

3 x

53

When we talk about prime factorization, it is like taking something apart to figure out what makes up the whole. To put this in simpler terms; let’s look at an example! 159 is a special number because when you break it down and try to find its parts – all that remains of 159 are itself! This means that 159 can only be created using one Prime Number – which happens to just be itself:159 = 1 x 159 or even more simply stated…159 = Just plain old “159”!

## Factor tree of 159

Factor trees helps us to break down numbers into their simplest form, prime numbers. Prime numbers are like building blocks in math; they can only be divided by 1 or themselves and have no other factors! When we try to create a factor tree of 159, it won’t work because there isn’t anything else that goes into the number—it is already at its most basic level. Factor trees simply cannot be used on prime numbers since there aren’t any other factors for them!

## Factor Pairs of 159

Calculate Pair Factors of

1 x 159=159

3 x 53=159

53 x 3=159

So Pair Factors of 159 are

(1,159)

(3,53)

(53,3)

Factors are special numbers that can be multiplied together to get a bigger number. That big number is called the product, and all the other numbers used in multiplication are its factor pairs!

For example, if I wanted to multiply 1 and 159 together (1 * 159), their combination would give me my original number: 159. This means that those two different numbers–the ones we just combined!–are actually part of something much more impressive; they’re factor pairs for 159! What’s even cooler is when one or both of them happen to be prime–like in this case where only 1 and 159 were able to make up our initial number by multiplying them with each other–then as it turns out there aren’t any extra combinations left since prime numbers like these have exactly two-factor pair possibilities-–(1*,159)and (* 159,1).

## Factors of 159 – Quick Recap

**Factors of 159:** 1, 3, 53, 159

**Negative Factors of 159:** -1, -3, -53, -159.

**Prime Factors of 159:** 3 x 53

**Prime Factorization of 159:** 3 x 53

## Fun Facts of Factors of 159

- It’s the 25th prime, which means it can only be divided by itself or one.
- But even more interesting—it’s also the sum of three consecutive primes, 53 + 59 + 67 = 159!
- You’ll never guess this: If you add up all three cubes of 1-4 (1^3+2^3+3^3+4^3), they equal exactly 159 too.
- However, we don’t call it a “palindrome” because no matter how many times you read it forwards and backward; its numbers will always stay in order from smallest to biggest.

## Examples of Factor of 159

**1) John needs to find the factors of 159. How many factors does 159 have?****Answer:** 159 has 4 factors: 1, 3, 53, and 159.

**2) What is the greatest common factor (GCF) of 159 and 934?****Answer: **The greatest common factor (GCF) of 159 and 934 is 3.

**3) Janice needs to find the sum of all the factors of**

**159. What is it?****Answer: **The sum of all factors of 159 is 222.

**4) How would you find the prime factorization of 159?****Answer: **The prime factorization of 159 is 3 × 53.

**5) Does 158 have any perfect squares as its factors?****Answer: **No,158 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) Mona wants to find the least common multiple (LCM) of 159. What is it?****Answer:** The least common multiple(LCM)of 159 is 47417.

**9) What are the factors of 158?****Answer: **The factors of 158 are 1, 2, 3, 6, 27, 54, and 158.

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

## Frequently Asked Questions on Factors of 159

**What are the factors of 159?**

The factors of 159 are 1, 3, 53, and 159.

**How do you find the prime factorization of 159?**

The prime factorization of 159 is 3 × 53.

**What is the greatest common factor (GCF) of 159?**

The greatest common factor (GCF) of 159 is 3.

**How many factors does 159 have?**

159 has 4 factors.

**Is 159 a perfect square?**

No,159 is not a perfect square.

**What is the sum of all factors of 159?**

The sum of all factors of 159 is 222.

**Is 159 a composite number?**

Yes,159 is a non-prime composite number.

**What are the multiples of 159?**

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

**What is the least common multiple (LCM) of 159?**

The least common multiple (LCM) of 158 is 47417.

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

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

Written by

Prerit Jain