# Factors of 106 in pair

Factors of 106 in pair are (1, 106) , (2, 53)

#### How to find factors of a number in pair

 1.   Steps to find factors of 106 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 106 in pair

Factor Pair Pair Factorization
1 and 106 1 x 106 = 106
2 and 53 2 x 53 = 106

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 106. They are called negative pair factors.

Hence, the negative pairs of 106 would be ( -1 , -106 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 106 are 1 , 2 , 53 , 106. So, factors of 106 in pair are (1,106), (2,53).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 106 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, 53, 106 are exact divisors of 106.
• 1 is a factor of every number. Eg. 1 is a factor of 106.
• Every number is a factor of zero (0), since 106 x 0 = 0.

#### Steps to find Factors of 106

• Step 1. Find all the numbers that would divide 106 without leaving any remainder. Starting with the number 1 upto 53 (half of 106). The number 1 and the number itself are always factors of the given number.
106 ÷ 1 : Remainder = 0
106 ÷ 2 : Remainder = 0
106 ÷ 53 : Remainder = 0
106 ÷ 106 : Remainder = 0

Hence, Factors of 106 are 1, 2, 53, and 106

• Is 106 a composite number?

Yes 106 is a composite number.

• Is 106 a prime number?

No 106 is not a prime number.

• Write five multiples of 106.

Five multiples of 106 are 212, 318, 424, 530, 636.

• Write all odd factors of 106?

The factors of 106 are 1, 2, 53, 106.
Odd factors of 106 are 1 , 53.

• What is the mean of all prime factors of 106?

Factors of 106 are 1 , 2 , 53 , 106. Prime factors of 106 are 2 , 53. Therefore mean of prime factors of 106 is (2 + 53) / 2 = 27.50.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 106 but she is finding it difficult. Can you help her find out?

Factors of 106 are 1, 2, 53, 106. So, factors of 106 in pair are (1,106), (2,53).

Sammy wants to write all the negative factors of 106 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 106 are -1, -2, -53, -106. Hence, factors of 106 in pair are (-1,-106), (-2,-53).

Help Deep in writing the positive factors of 106 in pair and negative factor of 106 in pair.

Factors of 106 are 1, 2, 53, 106. Positive factors of 106 in pair are (1,106), (2,53). Negative factors of 106 in pair are (-1,-106), (-2,-53).

Find the product of all prime factors of 106.

Factors of 106 are 1, 2, 53, 106. Prime factors are 2, 53. So, the product of all prime factors of 106 would be 2 x 53 = 106.

Can you help Sammy list the factors of 106 and also find the factor pairs?

Factors of 106 are 1, 2, 53, 106.
Factors of 106 in pair are (1,106), (2,53).

Help Diji in finding factors of 106 by Prime Factorization method and then sorting factors of 106 in pairs.

Prime factorization of 106 is 2 x 53. Factors of 106 in pair can be written as (1,106), (2,53).

Write the smallest prime factor of 106.

Smallest prime factor of 106 is 2.

Write the largest prime factor of 106.

Largest prime factor of 106 is 53.