Factors

# Factors of 163 | Prime Factorization of 163 | Factor Tree of 163

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 163 | Prime Factorization of 163 | Factor Tree of 163

## Factors of 163

Factors of 163 | Factor Pairs of 163 | Prime factors of 163 |

1, 163 | (1,163) | 163 |

Calculate Factors of

**The Factors are**

## What are the factors of 163

Have you ever heard of prime numbers? Prime numbers are special! They can only be divided by themselves and the number one – no other factors will work. The number 163 is a prime number, which means its two factors must also be 1 and 163. That’s why when we talk about what the “factors” of 163 are, all that sounds complicated just boils down to saying: it’s 1 and it’s 163!

## How to Find Factors of 163

The following are the methods through which we can find the factors of 163:

- Factor of 163 using Multiplication Method
- Factors of 163 using Division Method
- Prime Factorization of 163
- Factor tree of 163

## Factors of 163 using Multiplication Method

Prime numbers are really cool! They only have two factors, which means that when multiplied together they give you the original number. For example, 163 is a prime number and its two factors can be found by using multiplication: 1 time 163 equals 163 so these are the two special numbers for this prime. So if someone asked you what makes up a large number like 163–you could tell them it’s made of just one pair or combination – (1,163).

## Factors of 163 Using Division Method

If you want to know what factors a number like 163 has, the division method is one way of finding them! To do this we divide our number (163) by each integer from 1-the square root. For 163 this would just be 1 and itself because it’s a prime number – so no other numbers can go into it exactly without giving us some leftovers or ‘remainder’. If after dividing there isn’t any remainder, then that divisor was indeed a factor for the original number; in the case of 163, these are its only 2 possible factors: 1 and itself.

## Prime Factorization of 163

Calculate Prime Factors of

The Prime Factors of 163 =

163

A prime number is any whole, positive number that can only be divided evenly by 1 and itself. For example, 7 cannot be divided by anything except for 1 or 7—it’s indivisible! 163 falls into this category too; because it’s a “prime” it has the special factorization of just itself: 163. That means if we want to break down our large friend163 into smaller parts (its factors), then all we need to do is take out one copy of its own value – since there aren’t any other numbers that will divide evenly into it! So when people talk about the ‘prime factorization’ of 163 they are simply referring to what makes up these unusually special kinds of numbers like ourselves– in this case…just plain old 163!

## Factor tree of 163

Factor trees is a fun visual tool that helps us figure out the prime factors (special numbers) inside bigger ones. Take 163 for instance – it’s a special number called a “prime” and no matter how hard we try, there is nothing else to break down about it. When using our trusty factor tree tool then, all we have to do is look at the node labeled ‘163’ which tells us: yup this one isn’t going any further!

## Factor Pairs of 163

Calculate Pair Factors of

1 x 163=163

So Pair Factors of 163 are

(1,163)

Factors are two numbers that, when multiplied together, give you a particular number. Prime numbers such as 163 don’t have many factors because they can only be divided evenly by 1 and itself!

So the factor pair of 163 would simply be (1,163). If we look at this another way around it could also be written as (163,1) – both having the same answer but just in different orders. When looking for other factor pairs remember to always check out all possible combinations like this one: if one is not working then why not switch them around?

## Factors of 163 – Quick Recap

**Factors of 163:** 1, 163.

**Negative Factors of 163:** 1, -163.

**Prime Factors of 163:** 163

**Prime Factorization of 163:** 163

## Fun Facts of Factors of 163

- It’s a prime number, which means it can only be divided by itself and 1. That makes 163 unique because other numbers like 10 or 15 have more than two factors.
- It’s also special in its own way – 163 is a Sophie Germain Prime AND a Safe Prime, meaning that if you multiply it by 2 (2 x 163) the outcome will still be another prime number!
- Unlike some numbers out there, such as palindromes where the digits stay the same even when they’re reversed…163 isn’t one of them – we call those strictly non-palindrome numbers since their reverse don’t equal to themselves.
- Fascinatingly enough though, did you know that combining three cubes with odd numbers gives us our beloved #163? Yes indeed – just add up 1^3 + 3^3 + 5^3 = 153.

## Examples of Factor of 163

**1) A number is equal to the product of two factors of 163. What could be the two factors? **

**Answer:** The two factors could be 7 and 23.

**2) In a store, 163 items are shared equally among 8 people. How many items does each person get? **

**Answer:** Each person would get 20 items.

**3) What two prime numbers multiplied together make up 163? **

**Answer: **The two prime numbers that make up 163 are 7 and 23.

**4) Divide 163 by its greatest factor to find its smallest factor. What is the answer? **

**Answer: **The answer is 1, as 163 divided by its greatest factor (163) equals 1.

**5) If one number is increased by 10, what will its greatest common factor with 163 be? **

**Answer:** The greatest common factor between the number and 163 will be 1, as any number plus 10 will have no common factor with 163 other than itself or 1.

**6)What is the sum of all factors of 163? **

**Answer: **The sum of all factors of 163 is 194.

**7)What is the mean (average) of the prime factors of 163? **

**Answer:** The mean (average) of the prime factors of 1637 and 23 is 15.

**8)Which numbers between 160 and 170 are divisible by 163? **

**Answer:** 166 is divisible by 163.

**9)If you divide 7 into 163 how many times can it go in evenly? **

**Answer: **7 can go into163 23times evenly.

**10) If 2x something equals163,what is the unknown value? Answer:** The unknown value is 81, as 2×81 = 162.

## Frequently Asked Questions on Factors of 163

**What is a factor of 163?**

A factor of 163 is a number that divides evenly into 163. The factors of 163 are 1, 7, 23 and 163.

**What are the prime factors of 163?**

The prime factors of 163 are 7 and 23.

**How many even factors does 163 have?**

There are two even factors of 163: 2 and 8.

**How many odd factors does 163 have?**

There are three odd factors of 1631, 7, and 23.

**Can 164 be divided by 8?**

No, 164 cannot be divided by 8 as it leaves a remainder when divided.

**Are 4 and 81 both factors of 163?**

No, 4 and 81 are not both factors of 163.

**Is 10 a factor of 163?**

No 10 is not a factor of 163.

**Is 63 a factor of 163?**

No 63 is not a factor of 163.

**Is 7 a multiple of 23?**

Yes 7 is amultipleof23 because 7×23=161 which is divisible by 23 with no remainder.

**Is 66 a multiple of 163?**

No 66 is not a multiple of 163 because 66×163=10638 which has a remainder when divided by 163.

Written by

Prerit Jain