Factors of 5120 in pair are (1, 5120) , (2, 2560) , (4, 1280) , (5, 1024) , (8, 640) , (10, 512) , (16, 320) , (20, 256) , (32, 160) , (40, 128) and (64, 80)

How to find factors of a number in pair

Steps to find factors of 5120 in pair

Example: Find factors of 5120 in pair

Factor Pair Pair Factorization
1 and 5120 1 x 5120 = 5120
2 and 2560 2 x 2560 = 5120
4 and 1280 4 x 1280 = 5120
5 and 1024 5 x 1024 = 5120
8 and 640 8 x 640 = 5120
10 and 512 10 x 512 = 5120
16 and 320 16 x 320 = 5120
20 and 256 20 x 256 = 5120
32 and 160 32 x 160 = 5120
40 and 128 40 x 128 = 5120
64 and 80 64 x 80 = 5120

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 5120. They are called negative pair factors.

Hence, the negative pairs of 5120 would be ( -1 , -5120 ) .

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 5120 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 32 , 40 , 64 , 80 , 128 , 160 , 256 , 320 , 512 , 640 , 1024 , 1280 , 2560 , 5120. So, factors of 5120 in pair are (1,5120), (2,2560), (4,1280), (5,1024), (8,640), (10,512), (16,320), (20,256), (32,160), (40,128), (64,80).

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. 5120 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 5120.
  • Every number is a factor of zero (0), since 5120 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, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120 are exact divisors of 5120.
  • Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. Each factor divides 5120 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, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120 are all less than or equal to 5120.

Steps to find Factors of 5120

  • Step 1. Find all the numbers that would divide 5120 without leaving any remainder. Starting with the number 1 upto 2560 (half of 5120). The number 1 and the number itself are always factors of the given number.
    5120 ÷ 1 : Remainder = 0
    5120 ÷ 2 : Remainder = 0
    5120 ÷ 4 : Remainder = 0
    5120 ÷ 5 : Remainder = 0
    5120 ÷ 8 : Remainder = 0
    5120 ÷ 10 : Remainder = 0
    5120 ÷ 16 : Remainder = 0
    5120 ÷ 20 : Remainder = 0
    5120 ÷ 32 : Remainder = 0
    5120 ÷ 40 : Remainder = 0
    5120 ÷ 64 : Remainder = 0
    5120 ÷ 80 : Remainder = 0
    5120 ÷ 128 : Remainder = 0
    5120 ÷ 160 : Remainder = 0
    5120 ÷ 256 : Remainder = 0
    5120 ÷ 320 : Remainder = 0
    5120 ÷ 512 : Remainder = 0
    5120 ÷ 640 : Remainder = 0
    5120 ÷ 1024 : Remainder = 0
    5120 ÷ 1280 : Remainder = 0
    5120 ÷ 2560 : Remainder = 0
    5120 ÷ 5120 : Remainder = 0

Hence, Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, and 5120

Frequently Asked Questions

  • Is 5120 a composite number?

    Yes 5120 is a composite number.

  • Is 5120 a prime number?

    No 5120 is not a prime number.

  • Is 5120 a perfect square?

    No 5120 is not a perfect square.

  • Write five multiples of 5120.

    Five multiples of 5120 are 10240, 15360, 20480, 25600, 30720.

  • Write all odd factors of 5120?

    The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120.
    Odd factors of 5120 are 1 , 5.

Examples of Factors

Ariel has been asked to write all factor pairs of 5120 but she is finding it difficult. Can you help her find out?

Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. So, factors of 5120 in pair are (1,5120), (2,2560), (4,1280), (5,1024), (8,640), (10,512), (16,320), (20,256), (32,160), (40,128), (64,80).

Sammy wants to write all the negative factors of 5120 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 5120 are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -128, -160, -256, -320, -512, -640, -1024, -1280, -2560, -5120. Hence, factors of 5120 in pair are (-1,-5120), (-2,-2560), (-4,-1280), (-5,-1024), (-8,-640), (-10,-512), (-16,-320), (-20,-256), (-32,-160), (-40,-128), (-64,-80).

Help Deep in writing the positive factors of 5120 in pair and negative factor of 5120 in pair.

Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. Positive factors of 5120 in pair are (1,5120), (2,2560), (4,1280), (5,1024), (8,640), (10,512), (16,320), (20,256), (32,160), (40,128), (64,80). Negative factors of 5120 in pair are (-1,-5120), (-2,-2560), (-4,-1280), (-5,-1024), (-8,-640), (-10,-512), (-16,-320), (-20,-256), (-32,-160), (-40,-128), (-64,-80).

Find the product of all factors of 5120.

Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. So the product of all factors of 5120 would be 1 x 2 x 4 x 5 x 8 x 10 x 16 x 20 x 32 x 40 x 64 x 80 x 128 x 160 x 256 x 320 x 512 x 640 x 1024 x 1280 x 2560 x 5120 = 6.338253001141147e+40.

Find the product of all prime factors of 5120.

Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5. So, the product of all prime factors of 5120 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 = 5120.

Can you help Sammy list the factors of 5120 and also find the factor pairs?

Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120.
Factors of 5120 in pair are (1,5120), (2,2560), (4,1280), (5,1024), (8,640), (10,512), (16,320), (20,256), (32,160), (40,128), (64,80).

Sammy has 5120 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 5120 blocks in all possible ways to form a rectangle, we need to calculate factors of 5120 in pair. Therefore, factors of 5120 in pair are (1,5120), (2,2560), (4,1280), (5,1024), (8,640), (10,512), (16,320), (20,256), (32,160), (40,128), (64,80)