Factors

# Factors of 122 | Prime Factorization of 122 | Factor Tree of 122

Written by Prerit Jain

Updated on: 20 Jun 2023

Contents

### Factors of 122 | Prime Factorization of 122 | Factor Tree of 122

## Factors of 122

Factors of 122 | Factor Pairs of 122 | Prime factors of 122 |

1, 2, 61 and 122 | (1, 122) and (2, 61). | 2 x 61 |

**Factors of 122**,

**Factor Pairs of 122**,

**Prime factors of 122**

Calculate Factors of

**The Factors are**

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

## What are the factors of 122

The factors of 122 are all the numbers that “fit together” to make 122. We can find the factors of 122 by dividing 122 by different numbers and seeing which ones give us a whole number when we divide.

For example, if we divide 122 by 1, we get 122, which is a whole number. This means that 1 is a factor of 122. If we divide 122 by 2, we get 61, which is also a whole number. This means that 2 is a factor of 122.

If we keep going, we can find all the factors of 122. In this case, the factors of 122 are 1, 2, 61, and 122.

## How to Find Factors of 122

Here are the 4 methods through which you can find the factors of 122:

- Factors of 122 using the Multiplication Method
- Factors of 122 using the Division Method
- Prime Factorization of 122
- Factor tree of 122

## Factors of 122 Using the Multiplication Method

To find the factors of 122 using the multiplication method, we can start by looking for pairs of numbers that multiply together to make 122.

For example, the pairs of numbers that multiply together to make 122 are (1, 122) and (2, 61).

We can also write these pairs as products: 1 x 122 = 122 and 2 x 61 = 122.

**So, the factors of 122 using the multiplication method are 1, 2, 61, and 122.**

## Factors of 122 Using the Division Method

To find the factors of 122 using the division method, we can start by dividing 122 by different numbers and seeing which ones give us a whole number when we divide.

For example, if we divide 122 by 1, we get 122, which is a whole number. This means that 1 is a factor of 122. If we divide 122 by 2, we get 61, which is also a whole number. This means that 2 is a factor of 122.

If we keep going, we can find all the factors of 122. In this case, the factors of 122 are 1, 2, 61, and 122.

## Prime Factorization of 122

Calculate Prime Factors of

The Prime Factors of 122 =

2 x

61

The prime factorization of 122 is 2 * 61. To find the prime factorization of a number, you can divide it by the smallest prime number (2) until it is no longer divisible by 2. In this case, 122 / 2 = 61. 61 is not divisible by 2, so we can say that the prime factorization of 122 is 2 * 61.

## Factor tree of 122

A factor tree is a visual tool used to find the prime factorization of a number. To create a factor tree for the number 122, follow these steps:

- Write 122 at the top of the tree.
- Divide 122 by the smallest prime number, which is 2. Write the result of the division (61) under 122 on the tree.
- 61 is already a prime number, so we are done.

The factor tree for 122 looks like this:

**The prime factorization of 122 is then 2 * 61.**

## Factor Pairs of 122

Calculate Pair Factors of

1 x 122=122

2 x 61=122

61 x 2=122

So Pair Factors of 122 are

(1,122)

(2,61)

(61,2)

The factor pairs of 122 are the pairs of numbers that can be multiplied together to equal 122. They are (1, 122), (2, 61) and (61, 2).

To find the factor pairs of a number, you can simply list out all of the numbers that divide evenly into that number. For example, to find the factor pairs of 122, we can list out all of the numbers that divide evenly into 122: 1, 2, 61 and 122. These numbers can then be paired up to create the factor pairs of 122.

## More Factor

- Factors of 119
- Factors of 120
- Factors of 121
- Factors of 122
- Factors of 123
- Factors of 124
- Factors of 125

## Factors of 122 – Quick Recap

**Factors of 122:**1, 2, 61, and 122.**Negative Factors of 122:**(-1, -122) and (-2, -61).**Prime Factors of 122:**11 x 11**Prime Factorization of 122:****11 x 11**

**Also Check**: Multiples, Square Root, and LCM

## Solved Examples of Factor of 122

**Q.1: If there are 122 books available at the library and 7 people want to borrow some, how many books can each person borrow?****Solution: **Each person can borrow 17 books.

**Q.2:** Eric has 120 marbles that he is trying to divide equally among 6 of his friends. How many will each friend receive? ** Solution: **Each friend will receive 20 marbles.

**Q.3:** Are there any prime numbers that can be multiplied together to equal 1222? ** Solution: **The prime factorization of 1222 is: 2 × 7 × 7 × 13. So, the prime numbers that can be multiplied together to equal 1222 are 2, 7, and 13.

**Q.4:** If there are 123 apples for sale at the farmers market and 3 customers want some, how many apples should each customer receive? ** Solution: **Each customer should receive 31 apples from the farmer’s market.

**No, 122 is not a prime number because it can be divided evenly by more than two numbers (2, 61, and 122).**

**Q.5:**Is 122 a prime number?**Solution:**

**Q.6:**How long would it take to read a book with 120 pages if it took an average of 3 minutes per page?**It would take approximately 360 minutes (6hrs) to read the entire book.**

**Solution:**

**Q.7:**What are the factors of 122?**Solution:**The factors of 121 are 1, 2, 61, and 122.

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

## Frequently Asked Questions on Factors of 122

**What is a factor of 122?**

The factors of 122 are 1, 2, 61, and 122.

**Is 122 a prime number?**

No, 122 is not a prime number because it can be divided evenly by more than two numbers (2, 61, and 122).

**How many factors does 122 have?**

There are 4 factors of 122; 1, 2, 61, and 122.

**If there are 114 books available at the library and 6 people want to borrow some, how many books can each person borrow?**

If there are 114 books available and 6 people want to borrow some, each person can borrow 19 books.

**If there are 120 apples for sale at the farmers market and 3 customers want some, how many apples should each customer receive?**

Each customer should receive 40 apples from the farmer’s market in this case.

**How long would it take to read a book with 120 pages if it took an average of 3 minutes per page? **

** **It would take approximately 6 hours to read the entire book.

**How many customers can buy books if there are 120 books for sale and 5 customers want them?**

Each customer can buy 24 books from this case.

Written by by

Prerit Jain