Factors of 880 in pair are (1, 880) , (2, 440) , (4, 220) , (5, 176) , (8, 110) , (10, 88) , (11, 80) , (16, 55) , (20, 44) and (22, 40)

How to find factors of a number in pair

Steps to find factors of 880 in pair

Example: Find factors of 880 in pair

Factor Pair Pair Factorization
1 and 880 1 x 880 = 880
2 and 440 2 x 440 = 880
4 and 220 4 x 220 = 880
5 and 176 5 x 176 = 880
8 and 110 8 x 110 = 880
10 and 88 10 x 88 = 880
11 and 80 11 x 80 = 880
16 and 55 16 x 55 = 880
20 and 44 20 x 44 = 880
22 and 40 22 x 40 = 880

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 880. They are called negative pair factors.

Hence, the negative pairs of 880 would be ( -1 , -880 ) .

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 880 are 1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 40 , 44 , 55 , 80 , 88 , 110 , 176 , 220 , 440 , 880. So, factors of 880 in pair are (1,880), (2,440), (4,220), (5,176), (8,110), (10,88), (11,80), (16,55), (20,44), (22,40).

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. 880 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 880.
  • Every number is a factor of zero (0), since 880 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, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880 are exact divisors of 880.
  • Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. Each factor divides 880 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, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880 are all less than or equal to 880.

Steps to find Factors of 880

  • Step 1. Find all the numbers that would divide 880 without leaving any remainder. Starting with the number 1 upto 440 (half of 880). The number 1 and the number itself are always factors of the given number.
    880 ÷ 1 : Remainder = 0
    880 ÷ 2 : Remainder = 0
    880 ÷ 4 : Remainder = 0
    880 ÷ 5 : Remainder = 0
    880 ÷ 8 : Remainder = 0
    880 ÷ 10 : Remainder = 0
    880 ÷ 11 : Remainder = 0
    880 ÷ 16 : Remainder = 0
    880 ÷ 20 : Remainder = 0
    880 ÷ 22 : Remainder = 0
    880 ÷ 40 : Remainder = 0
    880 ÷ 44 : Remainder = 0
    880 ÷ 55 : Remainder = 0
    880 ÷ 80 : Remainder = 0
    880 ÷ 88 : Remainder = 0
    880 ÷ 110 : Remainder = 0
    880 ÷ 176 : Remainder = 0
    880 ÷ 220 : Remainder = 0
    880 ÷ 440 : Remainder = 0
    880 ÷ 880 : Remainder = 0

Hence, Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880

Frequently Asked Questions

  • Is 880 a composite number?

    Yes 880 is a composite number.

  • Is 880 a prime number?

    No 880 is not a prime number.

  • Write five multiples of 880.

    Five multiples of 880 are 1760, 2640, 3520, 4400, 5280.

  • Write all odd factors of 880?

    The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
    Odd factors of 880 are 1 , 5 , 11 , 55.

  • What is the mean of all prime factors of 880?

    Factors of 880 are 1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 40 , 44 , 55 , 80 , 88 , 110 , 176 , 220 , 440 , 880. Prime factors of 880 are 2 , 2 , 2 , 2 , 5 , 11. Therefore mean of prime factors of 880 is (2 + 2 + 2 + 2 + 5 + 11) / 6 = 4.00.

Examples of Factors

Ariel has been asked to write all factor pairs of 880 but she is finding it difficult. Can you help her find out?

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. So, factors of 880 in pair are (1,880), (2,440), (4,220), (5,176), (8,110), (10,88), (11,80), (16,55), (20,44), (22,40).

Sammy wants to write all the negative factors of 880 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 880 are -1, -2, -4, -5, -8, -10, -11, -16, -20, -22, -40, -44, -55, -80, -88, -110, -176, -220, -440, -880. Hence, factors of 880 in pair are (-1,-880), (-2,-440), (-4,-220), (-5,-176), (-8,-110), (-10,-88), (-11,-80), (-16,-55), (-20,-44), (-22,-40).

Help Deep in writing the positive factors of 880 in pair and negative factor of 880 in pair.

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. Positive factors of 880 in pair are (1,880), (2,440), (4,220), (5,176), (8,110), (10,88), (11,80), (16,55), (20,44), (22,40). Negative factors of 880 in pair are (-1,-880), (-2,-440), (-4,-220), (-5,-176), (-8,-110), (-10,-88), (-11,-80), (-16,-55), (-20,-44), (-22,-40).

Find the product of all factors of 880.

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. So the product of all factors of 880 would be 1 x 2 x 4 x 5 x 8 x 10 x 11 x 16 x 20 x 22 x 40 x 44 x 55 x 80 x 88 x 110 x 176 x 220 x 440 x 880 = 2.7850097600940214e+29.

Find the product of all prime factors of 880.

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. Prime factors are 2, 2, 2, 2, 5, 11. So, the product of all prime factors of 880 would be 2 x 2 x 2 x 2 x 5 x 11 = 880.

Can you help Sammy list the factors of 880 and also find the factor pairs?

Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
Factors of 880 in pair are (1,880), (2,440), (4,220), (5,176), (8,110), (10,88), (11,80), (16,55), (20,44), (22,40).

Sammy has 880 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 880 blocks in all possible ways to form a rectangle, we need to calculate factors of 880 in pair. Therefore, factors of 880 in pair are (1,880), (2,440), (4,220), (5,176), (8,110), (10,88), (11,80), (16,55), (20,44), (22,40)