Factors of 440 in pair are (1, 440) , (2, 220) , (4, 110) , (5, 88) , (8, 55) , (10, 44) , (11, 40) and (20, 22)

How to find factors of a number in pair

Steps to find factors of 440 in pair

Example: Find factors of 440 in pair

Factor Pair Pair Factorization
1 and 440 1 x 440 = 440
2 and 220 2 x 220 = 440
4 and 110 4 x 110 = 440
5 and 88 5 x 88 = 440
8 and 55 8 x 55 = 440
10 and 44 10 x 44 = 440
11 and 40 11 x 40 = 440
20 and 22 20 x 22 = 440

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 440. They are called negative pair factors.

Hence, the negative pairs of 440 would be ( -1 , -440 ) .

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 440 are 1 , 2 , 4 , 5 , 8 , 10 , 11 , 20 , 22 , 40 , 44 , 55 , 88 , 110 , 220 , 440. So, factors of 440 in pair are (1,440), (2,220), (4,110), (5,88), (8,55), (10,44), (11,40), (20,22).

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. 440 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 440.
  • Every number is a factor of zero (0), since 440 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, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440 are exact divisors of 440.
  • Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. Each factor divides 440 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440 are all less than or equal to 440.

Steps to find Factors of 440

  • Step 1. Find all the numbers that would divide 440 without leaving any remainder. Starting with the number 1 upto 220 (half of 440). The number 1 and the number itself are always factors of the given number.
    440 ÷ 1 : Remainder = 0
    440 ÷ 2 : Remainder = 0
    440 ÷ 4 : Remainder = 0
    440 ÷ 5 : Remainder = 0
    440 ÷ 8 : Remainder = 0
    440 ÷ 10 : Remainder = 0
    440 ÷ 11 : Remainder = 0
    440 ÷ 20 : Remainder = 0
    440 ÷ 22 : Remainder = 0
    440 ÷ 40 : Remainder = 0
    440 ÷ 44 : Remainder = 0
    440 ÷ 55 : Remainder = 0
    440 ÷ 88 : Remainder = 0
    440 ÷ 110 : Remainder = 0
    440 ÷ 220 : Remainder = 0
    440 ÷ 440 : Remainder = 0

Hence, Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, and 440

Frequently Asked Questions

  • Is 440 a composite number?

    Yes 440 is a composite number.

  • Is 440 a prime number?

    No 440 is not a prime number.

  • Is 440 a perfect square?

    No 440 is not a perfect square.

  • Write five multiples of 440.

    Five multiples of 440 are 880, 1320, 1760, 2200, 2640.

  • Write all odd factors of 440?

    The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
    Odd factors of 440 are 1 , 5 , 11 , 55.

Examples of Factors

Ariel has been asked to write all factor pairs of 440 but she is finding it difficult. Can you help her find out?

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. So, factors of 440 in pair are (1,440), (2,220), (4,110), (5,88), (8,55), (10,44), (11,40), (20,22).

Sammy wants to write all the negative factors of 440 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 440 are -1, -2, -4, -5, -8, -10, -11, -20, -22, -40, -44, -55, -88, -110, -220, -440. Hence, factors of 440 in pair are (-1,-440), (-2,-220), (-4,-110), (-5,-88), (-8,-55), (-10,-44), (-11,-40), (-20,-22).

Help Deep in writing the positive factors of 440 in pair and negative factor of 440 in pair.

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. Positive factors of 440 in pair are (1,440), (2,220), (4,110), (5,88), (8,55), (10,44), (11,40), (20,22). Negative factors of 440 in pair are (-1,-440), (-2,-220), (-4,-110), (-5,-88), (-8,-55), (-10,-44), (-11,-40), (-20,-22).

Find the product of all factors of 440.

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. So the product of all factors of 440 would be 1 x 2 x 4 x 5 x 8 x 10 x 11 x 20 x 22 x 40 x 44 x 55 x 88 x 110 x 220 x 440 = 1.4048223625216e+21.

Find the product of all prime factors of 440.

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. Prime factors are 2, 2, 2, 5, 11. So, the product of all prime factors of 440 would be 2 x 2 x 2 x 5 x 11 = 440.

Can you help Sammy list the factors of 440 and also find the factor pairs?

Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
Factors of 440 in pair are (1,440), (2,220), (4,110), (5,88), (8,55), (10,44), (11,40), (20,22).

Sammy has 440 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 440 blocks in all possible ways to form a rectangle, we need to calculate factors of 440 in pair. Therefore, factors of 440 in pair are (1,440), (2,220), (4,110), (5,88), (8,55), (10,44), (11,40), (20,22)