# Factors of 122

Factors of 122 are 1, 2, 61, and 122

#### How to find factors of a number

 1.   Find factors of 122 using Division Method 2.   Find factors of 122 using Prime Factorization 3.   Find factors of 122 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 122

• Divide 122 by 1: 122 ÷ 1 : Remainder = 0
• Divide 122 by 2: 122 ÷ 2 : Remainder = 0
• Divide 122 by 61: 122 ÷ 61 : Remainder = 0
• Divide 122 by 122: 122 ÷ 122 : Remainder = 0

Hence, Factors of 122 are 1, 2, 61, and 122

#### 2. Steps to find factors of 122 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 122 using the division method, follow these steps:

• Step 1. Start dividing 122 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 122, which is 2. Divide 122 by 2 to obtain the quotient (61).
122 ÷ 2 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 122 is, 122 = 2 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 122 as shown below:

So, the prime factorization of 122 is, 122 = 2 x 61.

#### 3. Find factors of 122 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 122 would be the two numbers which, when multiplied, give 122 as the result.

The following table represents the calculation of factors of 122 in pairs:

Factor Pair Pair Factorization
1 and 122 1 x 122 = 122
2 and 61 2 x 61 = 122

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 122. They are called negative pair factors.

Hence, the negative pairs of 122 would be ( -1 , -122 ) , ( -2 , -61 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 122 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 61, 122 are exact divisors of 122.
• 1 is a factor of every number. Eg. 1 is a factor of 122.
• Every number is a factor of zero (0), since 122 x 0 = 0.

• What are the pair factors of 122?

Pair factors of 122 are (1,122), (2,61).

• What are five multiples of 122?

First five multiples of 122 are 244, 366, 488, 610, 732.

• What two numbers make 122?

Two numbers that make 122 are 2 and 61.

• What is the sum of all factors of 122?

The sum of all factors of 122 is 186.

• What are factors of -122?

Factors of -122 are -1, -2, -61, -122.

• What are factors of 122?

Factors of 122 are 1, 2, 61, 122.

• Is 122 a perfect square?

No 122 is not a perfect square.

• Which is the smallest prime factor of 122?

Smallest prime factor of 122 is 2.

• Which is greatest factor of 122?

The greatest factor of 122 is 61.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 122?

Factors of 122 are 1, 2, 61, 122.
Odd factors of 122 are 1, 61.
Hence product of odd factors of 122 is; 1 x 61 = 61.

Joey wants to write all the prime factors of 122 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 122 are 2, 61.
So in exponential form it can be written as 2 x 61.

How many factors are there for 122?

Factors of 122 are 1, 2, 61, 122.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 122. Can you predict the answer?

3 factor(s) of 122 are 1, 2, 61.

Sammy is puzzled while calculating the prime factors of 122. Can you help him find them?

Factors of 122 are 1, 2, 61, 122.
Prime factors of 122 are 2, 61

What is prime factorization of 122?

Prime factorization of 122 is 2 x 61 = 2 x 61.

Can you help Rubel to find out the product of the even factors of 122?

Factors of 122 are 1, 2, 61, 122.
Even factors of 122 are 2, 122.
Hence, product of even factors of 122 is; 2 x 122 = 244.