Factors of 560 in pair are (1, 560) , (2, 280) , (4, 140) , (5, 112) , (7, 80) , (8, 70) , (10, 56) , (14, 40) , (16, 35) and (20, 28)

How to find factors of a number in pair

Steps to find factors of 560 in pair

Example: Find factors of 560 in pair

Factor Pair Pair Factorization
1 and 560 1 x 560 = 560
2 and 280 2 x 280 = 560
4 and 140 4 x 140 = 560
5 and 112 5 x 112 = 560
7 and 80 7 x 80 = 560
8 and 70 8 x 70 = 560
10 and 56 10 x 56 = 560
14 and 40 14 x 40 = 560
16 and 35 16 x 35 = 560
20 and 28 20 x 28 = 560

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 560. They are called negative pair factors.

Hence, the negative pairs of 560 would be ( -1 , -560 ) .

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 560 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 28 , 35 , 40 , 56 , 70 , 80 , 112 , 140 , 280 , 560. So, factors of 560 in pair are (1,560), (2,280), (4,140), (5,112), (7,80), (8,70), (10,56), (14,40), (16,35), (20,28).

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. 560 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 560.
  • Every number is a factor of zero (0), since 560 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, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560 are exact divisors of 560.
  • Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. Each factor divides 560 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560 are all less than or equal to 560.

Steps to find Factors of 560

  • Step 1. Find all the numbers that would divide 560 without leaving any remainder. Starting with the number 1 upto 280 (half of 560). The number 1 and the number itself are always factors of the given number.
    560 ÷ 1 : Remainder = 0
    560 ÷ 2 : Remainder = 0
    560 ÷ 4 : Remainder = 0
    560 ÷ 5 : Remainder = 0
    560 ÷ 7 : Remainder = 0
    560 ÷ 8 : Remainder = 0
    560 ÷ 10 : Remainder = 0
    560 ÷ 14 : Remainder = 0
    560 ÷ 16 : Remainder = 0
    560 ÷ 20 : Remainder = 0
    560 ÷ 28 : Remainder = 0
    560 ÷ 35 : Remainder = 0
    560 ÷ 40 : Remainder = 0
    560 ÷ 56 : Remainder = 0
    560 ÷ 70 : Remainder = 0
    560 ÷ 80 : Remainder = 0
    560 ÷ 112 : Remainder = 0
    560 ÷ 140 : Remainder = 0
    560 ÷ 280 : Remainder = 0
    560 ÷ 560 : Remainder = 0

Hence, Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, and 560

Frequently Asked Questions

  • Is 560 a composite number?

    Yes 560 is a composite number.

  • Is 560 a prime number?

    No 560 is not a prime number.

  • Is 560 a perfect square?

    No 560 is not a perfect square.

  • Write five multiples of 560.

    Five multiples of 560 are 1120, 1680, 2240, 2800, 3360.

  • Write all odd factors of 560?

    The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560.
    Odd factors of 560 are 1 , 5 , 7 , 35.

Examples of Factors

Ariel has been asked to write all factor pairs of 560 but she is finding it difficult. Can you help her find out?

Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. So, factors of 560 in pair are (1,560), (2,280), (4,140), (5,112), (7,80), (8,70), (10,56), (14,40), (16,35), (20,28).

Sammy wants to write all the negative factors of 560 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 560 are -1, -2, -4, -5, -7, -8, -10, -14, -16, -20, -28, -35, -40, -56, -70, -80, -112, -140, -280, -560. Hence, factors of 560 in pair are (-1,-560), (-2,-280), (-4,-140), (-5,-112), (-7,-80), (-8,-70), (-10,-56), (-14,-40), (-16,-35), (-20,-28).

Help Deep in writing the positive factors of 560 in pair and negative factor of 560 in pair.

Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. Positive factors of 560 in pair are (1,560), (2,280), (4,140), (5,112), (7,80), (8,70), (10,56), (14,40), (16,35), (20,28). Negative factors of 560 in pair are (-1,-560), (-2,-280), (-4,-140), (-5,-112), (-7,-80), (-8,-70), (-10,-56), (-14,-40), (-16,-35), (-20,-28).

Find the product of all factors of 560.

Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. So the product of all factors of 560 would be 1 x 2 x 4 x 5 x 7 x 8 x 10 x 14 x 16 x 20 x 28 x 35 x 40 x 56 x 70 x 80 x 112 x 140 x 280 x 560 = 3.033054890961142e+27.

Find the product of all prime factors of 560.

Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. Prime factors are 2, 2, 2, 2, 5, 7. So, the product of all prime factors of 560 would be 2 x 2 x 2 x 2 x 5 x 7 = 560.

Can you help Sammy list the factors of 560 and also find the factor pairs?

Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560.
Factors of 560 in pair are (1,560), (2,280), (4,140), (5,112), (7,80), (8,70), (10,56), (14,40), (16,35), (20,28).

Sammy has 560 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 560 blocks in all possible ways to form a rectangle, we need to calculate factors of 560 in pair. Therefore, factors of 560 in pair are (1,560), (2,280), (4,140), (5,112), (7,80), (8,70), (10,56), (14,40), (16,35), (20,28)