Factors of 400 in pair are (1, 400) , (2, 200) , (4, 100) , (5, 80) , (8, 50) , (10, 40) , (16, 25) and (20, 20)

How to find factors of a number in pair

Steps to find factors of 400 in pair

Example: Find factors of 400 in pair

Factor Pair Pair Factorization
1 and 400 1 x 400 = 400
2 and 200 2 x 200 = 400
4 and 100 4 x 100 = 400
5 and 80 5 x 80 = 400
8 and 50 8 x 50 = 400
10 and 40 10 x 40 = 400
16 and 25 16 x 25 = 400
20 and 20 20 x 20 = 400

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 400. They are called negative pair factors.

Hence, the negative pairs of 400 would be ( -1 , -400 ) .

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 400 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 200 , 400. So, factors of 400 in pair are (1,400), (2,200), (4,100), (5,80), (8,50), (10,40), (16,25), (20,20).

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. 400 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 400.
  • Every number is a factor of zero (0), since 400 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, 16, 20, 25, 40, 50, 80, 100, 200, 400 are exact divisors of 400.
  • Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. Each factor divides 400 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 are all less than or equal to 400.

Steps to find Factors of 400

  • Step 1. Find all the numbers that would divide 400 without leaving any remainder. Starting with the number 1 upto 200 (half of 400). The number 1 and the number itself are always factors of the given number.
    400 ÷ 1 : Remainder = 0
    400 ÷ 2 : Remainder = 0
    400 ÷ 4 : Remainder = 0
    400 ÷ 5 : Remainder = 0
    400 ÷ 8 : Remainder = 0
    400 ÷ 10 : Remainder = 0
    400 ÷ 16 : Remainder = 0
    400 ÷ 20 : Remainder = 0
    400 ÷ 25 : Remainder = 0
    400 ÷ 40 : Remainder = 0
    400 ÷ 50 : Remainder = 0
    400 ÷ 80 : Remainder = 0
    400 ÷ 100 : Remainder = 0
    400 ÷ 200 : Remainder = 0
    400 ÷ 400 : Remainder = 0

Hence, Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400

Frequently Asked Questions

  • Is 400 a composite number?

    Yes 400 is a composite number.

  • Is 400 a prime number?

    No 400 is not a prime number.

  • Write five multiples of 400.

    Five multiples of 400 are 800, 1200, 1600, 2000, 2400.

  • Write all odd factors of 400?

    The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400.
    Odd factors of 400 are 1 , 5 , 25.

  • What is the mean of all prime factors of 400?

    Factors of 400 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 200 , 400. Prime factors of 400 are 2 , 2 , 2 , 2 , 5 , 5. Therefore mean of prime factors of 400 is (2 + 2 + 2 + 2 + 5 + 5) / 6 = 3.00.

Examples of Factors

Ariel has been asked to write all factor pairs of 400 but she is finding it difficult. Can you help her find out?

Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. So, factors of 400 in pair are (1,400), (2,200), (4,100), (5,80), (8,50), (10,40), (16,25), (20,20).

Sammy wants to write all the negative factors of 400 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 400 are -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -200, -400. Hence, factors of 400 in pair are (-1,-400), (-2,-200), (-4,-100), (-5,-80), (-8,-50), (-10,-40), (-16,-25), (-20,-20).

Help Deep in writing the positive factors of 400 in pair and negative factor of 400 in pair.

Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. Positive factors of 400 in pair are (1,400), (2,200), (4,100), (5,80), (8,50), (10,40), (16,25), (20,20). Negative factors of 400 in pair are (-1,-400), (-2,-200), (-4,-100), (-5,-80), (-8,-50), (-10,-40), (-16,-25), (-20,-20).

Find the product of all factors of 400.

Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. So the product of all factors of 400 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 25 x 40 x 50 x 80 x 100 x 200 x 400 = 32768000000000000000.

Find the product of all prime factors of 400.

Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. Prime factors are 2, 2, 2, 2, 5, 5. So, the product of all prime factors of 400 would be 2 x 2 x 2 x 2 x 5 x 5 = 400.

Can you help Sammy list the factors of 400 and also find the factor pairs?

Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400.
Factors of 400 in pair are (1,400), (2,200), (4,100), (5,80), (8,50), (10,40), (16,25), (20,20).

Sammy has 400 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 400 blocks in all possible ways to form a rectangle, we need to calculate factors of 400 in pair. Therefore, factors of 400 in pair are (1,400), (2,200), (4,100), (5,80), (8,50), (10,40), (16,25), (20,20)