Factors

# Factors of 161 | Prime Factorization of 161 | Factor Tree of 161

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 161 | Prime Factorization of 161 | Factor Tree of 161

## Factors of 161

Factors of 161 | Factor Pairs of 161 | Prime factors of 161 |

1, 7, 23, and 161 | (1, 161) and (7, 23) | 7 x 23 |

Calculate Factors of

**The Factors are**

## What are the factors of 161

161 is a special number! It can only be divided into two parts – 1 and 161. That means that no other numbers will work when you try to divide it up, which makes it really unique!

## How to Find Factors of 161

The main methods through which you can find the factors of 161 are as follows:

- Factor of 161 using Multiplication Method
- Factors of 161 using Division Method
- Prime Factorization of 161
- Factor tree of 161

## Factors of 161 using Multiplication Method

A prime number is a special type of a whole number – it only has two factors. For example, 161 can be broken down into 1×161 or just simply written as (1,161) and (161,1). That means that there are no other combinations where multiplying these numbers together could give you the original result of 161. So in this case we say that both 1 and 161 are its own pair which makes them exclusive factors to each other!

## Factors of 161 Using Division Method

To find the factors of a number, let’s try using division! This means we divide our original number by all whole numbers from 1 to its square root. If when dividing there is no remainder (the answer ends in 0), then that divided-by number can be added as one of the factors for our original number.

For example, if you want to know what are the factors of 161 – an easier type of prime where it has only two possible divisors – you’ll need just one step: Divide 161 by each integer between 1 and 16; since it will have remainders on any other case but with itself or 1 wouldn’t make sense anyway so these would become your final answers! As soon as you see that both cases don’t leave a remainder after dividing them into 161 they automatically qualify to be considered last facts.

## Prime Factorization of 161

Calculate Prime Factors of

The Prime Factors of 161 =

7 x

23

Prime numbers is really special! 161 is something extra-special because it’s a prime number, which means you don’t need to divide the number anymore. How cool is that?! Prime numbers can only be divided by themselves or 1 – no other factor will work out in this equation. So if we want to figure out what makes up 161, all we have to do is look at one answer: itself! That’s why for any prime number like 161, its own prime factorization equals just 161 – no factors needed here!

## Factor tree of 161

It’s the perfect way to figure out what all those prime numbers mean! A prime number is any whole number that can only be divided by one and itself. That means it has no other factors, so 161 would fit this definition perfectly – being made up of 1 and 161 alone. So when trying to break down 161 into smaller parts using a factor tree, there really isn’t anything we need to do as it’s already complete on its own!

## Factor Pairs of 161

Calculate Pair Factors of

1 x 161=161

7 x 23=161

23 x 7=161

So Pair Factors of 161 are

(1,161)

(7,23)

(23,7)

If you want to figure out the factor pairs of a number, it’s easy! A prime number only has two factors: 1 and itself. An example is 161 – its factor pairs are just (1, 161) and (161, 1)! That means if we multiply either pair together, they will always equal the original number—in this case, that would be 161.

## Factors of 161 – Quick Recap

**Factors of 161:** 1, 7, 23, and 161.

**Negative Factors of 161:** -1, -7, -23, and -161.

**Prime Factors of 161:** 7 x 23

**Prime Factorization of 161:** 7 x 23

## Fun Facts of Factors of 161

- 161 is a prime number, which means that it only has two factors – 1 and 161.

Not all numbers can say the same; many have more than two factors. - On top of being able to count in twos, 161 also qualifies for some other cool types of primes: Mersenne Primes (named after a 17th-century French monk!), Sophie Germain Primes (named after 18th-century mathematician Marie-Sophie Germain), Eisenstein Prime Numbers (if you subtract one from it then divide by three there will be no remainder left over) Chen Prime Number – they are very rare primes where if you take 8n + 5 or 8n – 5 with p >5,161 fits this criterion too!
- Last but not least, it’s part of five known parties that become even bigger celebrities when its reciprocal gets added to itself…Making our friend 161 super famous among prime family members indeed!

## Examples of Factor of 161

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

**2) What is the greatest common factor (GCF) of 161?****Answer: **The greatest common factor (GCF) of 161 is 1.

**3) How many factors does 161 have?****Answer: **161 has 4 factors: 1, 7, 23, and 161.

**4) What is the sum of all the factors of 161?****Answer: **The sum of all factors of 161 is 272.

**5) How would you find the prime factorization of 161?****Answer: **The prime factorization of 161 is 7 × 23.

**6) Does 161 have any perfect squares as its factors?****Answer: **No, 161 does not have any perfect squares as its factors.

**7) What are the multiples of 161?****Answer:** The multiples of 161 are 161,322,483,644…etc.**8) Is 163 a perfect square?****Answer: **No,163 is not a perfect square.

**9) What is the least common multiple (LCM) of 161?****Answer: **The least common multiple (LCM) of 161 is 461.

**10) Are there any prime numbers in the set of factors for 161?****Answer:** Yes; there is a non-prime composite number in the factors of 161 which is 7.

## Frequently Asked Questions on Factors of 161

**Ravi has 161 marbles. He wants to divide them among his 4 friends. How many marbles will each friend get?**

Each friend will get 40 marbles.

**Bob has 161 chocolate bars. He wants to give away an equal number of bars to each of his 6 siblings. How many chocolate bars will each of his siblings get?**

Each sibling will get 26 chocolate bars.

**Anu needs 161 pieces of paper for her art project. If she packs them into 10 boxes, how many pieces of paper will be in each box?**

Each box will have 16 pieces of paper.

**Maddy has a bag of 161 coins that she wants to share with her class. If there are 30 students in the class, how many coins will each student receive?**

Each student will receive 5 coins.

**Jane has a container with 161 nuts. She wants to distribute them evenly among 9 jars her family members can use as snacks. How many nuts should go in each jar?**

There will be 18 nuts in each jar.

**Lauren has a collection of 161 stamps that she wants to display on 5 different boards in her room. How many stamps should she put on each board?**

Lauren should put 32 stamps on each board.

**Rohan found 161 seashells on the beach and he wants to put them into 8 containers for a project at school. How many shells should go into each container?**

Each container should have 20 shells in it.

**Abigail has 161 books and she wants to sort them into 7 piles so that she can organize them better on her shelves at home. How many books should be in each pile?**

Each pile should have 23 books in it.

**Anna has collected 161 pebbles from the garden and wants to divide them equally between 12 jars for decoration purposes. How many pebbles should go in each jar?**

Each jar will get 13 pebbles in it.

**Jayden had bought 161 pencils and he wanted to distribute them among 15 people working with him. How many pencils should he give out per person?**

He would give out 11 pencils per person.

Written by

Prerit Jain