# Factors of 40 in pair

Factors of 40 in pair are (1, 40) , (2, 20) , (4, 10) and (5, 8)

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

 1.   Steps to find factors of 40 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 40 in pair

Factor Pair Pair Factorization
1 and 40 1 x 40 = 40
2 and 20 2 x 20 = 40
4 and 10 4 x 10 = 40
5 and 8 5 x 8 = 40

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 40. They are called negative pair factors.

Hence, the negative pairs of 40 would be ( -1 , -40 ) .

#### 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 40 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 40. So, factors of 40 in pair are (1,40), (2,20), (4,10), (5,8).

#### 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. 40 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 40.
• Every number is a factor of zero (0), since 40 x 0 = 0.
• 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, 4, 5, 8, 10, 20, 40 are exact divisors of 40.
• Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. Each factor divides 40 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 20, 40 are all less than or equal to 40.

#### Steps to find Factors of 40

• Step 1. Find all the numbers that would divide 40 without leaving any remainder. Starting with the number 1 upto 20 (half of 40). The number 1 and the number itself are always factors of the given number.
40 ÷ 1 : Remainder = 0
40 ÷ 2 : Remainder = 0
40 ÷ 4 : Remainder = 0
40 ÷ 5 : Remainder = 0
40 ÷ 8 : Remainder = 0
40 ÷ 10 : Remainder = 0
40 ÷ 20 : Remainder = 0
40 ÷ 40 : Remainder = 0

Hence, Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40

• Is 40 a composite number?

Yes 40 is a composite number.

• Is 40 a prime number?

No 40 is not a prime number.

• Write five multiples of 40.

Five multiples of 40 are 80, 120, 160, 200, 240.

• Write all odd factors of 40?

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
Odd factors of 40 are 1 , 5.

• What is the mean of all prime factors of 40?

Factors of 40 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 40. Prime factors of 40 are 2 , 2 , 2 , 5. Therefore mean of prime factors of 40 is (2 + 2 + 2 + 5) / 4 = 2.75.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 40 but she is finding it difficult. Can you help her find out?

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. So, factors of 40 in pair are (1,40), (2,20), (4,10), (5,8).

Sammy wants to write all the negative factors of 40 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 40 are -1, -2, -4, -5, -8, -10, -20, -40. Hence, factors of 40 in pair are (-1,-40), (-2,-20), (-4,-10), (-5,-8).

Help Deep in writing the positive factors of 40 in pair and negative factor of 40 in pair.

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. Positive factors of 40 in pair are (1,40), (2,20), (4,10), (5,8). Negative factors of 40 in pair are (-1,-40), (-2,-20), (-4,-10), (-5,-8).

Find the product of all factors of 40.

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. So the product of all factors of 40 would be 1 x 2 x 4 x 5 x 8 x 10 x 20 x 40 = 2560000.

Find the product of all prime factors of 40.

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. Prime factors are 2, 2, 2, 5. So, the product of all prime factors of 40 would be 2 x 2 x 2 x 5 = 40.

Can you help Sammy list the factors of 40 and also find the factor pairs?

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
Factors of 40 in pair are (1,40), (2,20), (4,10), (5,8).

Sammy has 40 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 40 blocks in all possible ways to form a rectangle, we need to calculate factors of 40 in pair. Therefore, factors of 40 in pair are (1,40), (2,20), (4,10), (5,8)