# Factors of 10 in pair

Factors of 10 in pair are (1, 10) , (2, 5)

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

 1.   Steps to find factors of 10 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 10 in pair

Factor Pair Pair Factorization
1 and 10 1 x 10 = 10
2 and 5 2 x 5 = 10

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 10. They are called negative pair factors.

Hence, the negative pairs of 10 would be ( -1 , -10 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 10 are 1 , 2 , 5 , 10. So, factors of 10 in pair are (1,10), (2,5).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 10 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, 5, 10 are exact divisors of 10.
• 1 is a factor of every number. Eg. 1 is a factor of 10.
• Every number is a factor of zero (0), since 10 x 0 = 0.

#### Steps to find Factors of 10

• Step 1. Find all the numbers that would divide 10 without leaving any remainder. Starting with the number 1 upto 5 (half of 10). The number 1 and the number itself are always factors of the given number.
10 ÷ 1 : Remainder = 0
10 ÷ 2 : Remainder = 0
10 ÷ 5 : Remainder = 0
10 ÷ 10 : Remainder = 0

Hence, Factors of 10 are 1, 2, 5, and 10

• Is 10 a composite number?

Yes 10 is a composite number.

• Is 10 a prime number?

No 10 is not a prime number.

• Write five multiples of 10.

Five multiples of 10 are 20, 30, 40, 50, 60.

• Write all odd factors of 10?

The factors of 10 are 1, 2, 5, 10.
Odd factors of 10 are 1 , 5.

• What is the mean of all prime factors of 10?

Factors of 10 are 1 , 2 , 5 , 10. Prime factors of 10 are 2 , 5. Therefore mean of prime factors of 10 is (2 + 5) / 2 = 3.50.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 10 but she is finding it difficult. Can you help her find out?

Factors of 10 are 1, 2, 5, 10. So, factors of 10 in pair are (1,10), (2,5).

Sammy wants to write all the negative factors of 10 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 10 are -1, -2, -5, -10. Hence, factors of 10 in pair are (-1,-10), (-2,-5).

Help Deep in writing the positive factors of 10 in pair and negative factor of 10 in pair.

Factors of 10 are 1, 2, 5, 10. Positive factors of 10 in pair are (1,10), (2,5). Negative factors of 10 in pair are (-1,-10), (-2,-5).

Find the product of all prime factors of 10.

Factors of 10 are 1, 2, 5, 10. Prime factors are 2, 5. So, the product of all prime factors of 10 would be 2 x 5 = 10.

Can you help Sammy list the factors of 10 and also find the factor pairs?

Factors of 10 are 1, 2, 5, 10.
Factors of 10 in pair are (1,10), (2,5).

Help Diji in finding factors of 10 by Prime Factorization method and then sorting factors of 10 in pairs.

Prime factorization of 10 is 2 x 5. Factors of 10 in pair can be written as (1,10), (2,5).

Write the smallest prime factor of 10.

Smallest prime factor of 10 is 2.

Write the largest prime factor of 10.

Largest prime factor of 10 is 5.