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Factors of 880

Factors of 880 are the list of integers that can be evenly divided into 880. There are total 20 factors of 880, of which 2, 5, 11 are its prime factors. The Prime Factorization of 880 is 24 × 51 × 111.

  • All Factors of 880: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440 and 880
  • Prime Factors of 880: 2, 5, 11
  • Prime Factorization of 880: 24 × 51 × 111
  • Sum of Factors of 880: 2232
1. What Are the Factors of 880?
2. Factors of 880 by Prime Factorization
3. Factors of 880 in Pairs
4. FAQs on Factors of 880
Factors of 880

What are Factors of 880?

Factors of 880 are pairs of those numbers whose products result in 880. These factors are either prime numbers or composite numbers.

How to Find the Factors of 880?

To find the factors of 880, we will have to find the list of numbers that would divide 880 without leaving any remainder.

  • 880/110 = 8; therefore, 110 is a factor of 880 and 8 is also a factor of 880.
  • 880/20 = 44; therefore, 20 is a factor of 880 and 44 is also a factor of 880.
Similarly we can find other factors. Hence, 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.

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Factors of 880 by Prime Factorization

The number 880 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 880. The first step is to divide the number 880 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 880 ÷ 2 = 440
  • 440 ÷ 2 = 220
  • 220 ÷ 2 = 110
  • 110 ÷ 2 = 55

Further dividing 55 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 55 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 880 can be written as 24 × 51 × 111 where 2, 5, 11 are prime.

 

Factors of 880 in Pairs

Pair factors of 880 are the pairs of numbers that when multiplied give the product 880. The factors of 880 in pairs are:

  • 1 × 880 = (1, 880)
  • 2 × 440 = (2, 440)
  • 4 × 220 = (4, 220)
  • 5 × 176 = (5, 176)
  • 8 × 110 = (8, 110)
  • 10 × 88 = (10, 88)
  • 11 × 80 = (11, 80)
  • 16 × 55 = (16, 55)
  • 20 × 44 = (20, 44)
  • 22 × 40 = (22, 40)

Negative pair factors of 880 are:

  • -1 × -880 = (-1, -880)
  • -2 × -440 = (-2, -440)
  • -4 × -220 = (-4, -220)
  • -5 × -176 = (-5, -176)
  • -8 × -110 = (-8, -110)
  • -10 × -88 = (-10, -88)
  • -11 × -80 = (-11, -80)
  • -16 × -55 = (-16, -55)
  • -20 × -44 = (-20, -44)
  • -22 × -40 = (-22, -40)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 880 Solved Examples

  1. Example 1: How many factors are there for 880?

    Solution:

    The factors of 880 are too many, therefore if we can find the prime factorization of 880, then the total number of factors can be calculated using the formula shown below.
    If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

    Prime Factorization of 880 = 24 × 51 × 111
    Therefore, the total number of factors are (4 + 1) × (1 + 1) × (1 + 1) = 5 × 2 × 2 = 20

  2. Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 880 and 425.

    Solution:

    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 and factors of 425 are 1, 5, 17, 25, 85, 425.

    Therefore, the Least Common Multiple (LCM) of 880 and 425 is 74800 and Greatest Common Divisor (GCD) of 880 and 425 is 5.

  3. Example 3: Find if 1, 2, 16, 22, 220, 440, 555 and 880 are factors of 880.

    Solution:

    When we divide 880 by 555 it leaves a remainder. Therefore, the number 555 is not a factor of 880. All numbers except 555 are factors of 880.

  4. Example 4: Find the product of all the prime factors of 880.

    Solution:

    Since, the prime factors of 880 are 2, 5, 11. Therefore, the product of prime factors = 2 × 5 × 11 = 110.

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FAQs on Factors of 880

What are the 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 and its negative factors are -1, -2, -4, -5, -8, -10, -11, -16, -20, -22, -40, -44, -55, -80, -88, -110, -176, -220, -440, -880.

What is the Sum of Factors of 880?

Sum of all factors of 880 = (24 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (111 + 1 - 1)/(11 - 1) = 2232

What are Pair Factors of 880?

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

What is the Greatest Common Factor of 880 and 373?

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 and the factors of 373 are 1, 373. 880 and 373 have only one common factor which is 1. This implies that 880 and 373 are co-prime.

Hence, the Greatest Common Factor (GCF) of 880 and 373 is 1.

What are the Common Factors of 880 and 534?

Since, 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 and the factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534.
Hence, [1, 2] are the common factors of 880 and 534.

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