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Factors of 888

Factors of 888 are the list of integers that can be evenly divided into 888. There are overall 16 factors of 888 among which 888 is the biggest factor and 2, 3, 37 are its prime factors. The Prime Factorization of 888 is 23 × 31 × 371.

  • All Factors of 888: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444 and 888
  • Prime Factors of 888: 2, 3, 37
  • Prime Factorization of 888: 23 × 31 × 371
  • Sum of Factors of 888: 2280
1. What Are the Factors of 888?
2. Factors of 888 by Prime Factorization
3. Factors of 888 in Pairs
4. FAQs on Factors of 888
Factors of 888

What are Factors of 888?

Factors of 888 are pairs of those numbers whose products result in 888. These factors are either prime numbers or composite numbers.

How to Find the Factors of 888?

To find the factors of 888, we will have to find the list of numbers that would divide 888 without leaving any remainder.

  • 888/444 = 2; therefore, 444 is a factor of 888 and 2 is also a factor of 888.
  • 888/37 = 24; therefore, 37 is a factor of 888 and 24 is also a factor of 888.
Similarly we can find other factors. Hence, the factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.

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Factors of 888 by Prime Factorization

The number 888 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 888. The first step is to divide the number 888 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 888 ÷ 2 = 444
  • 444 ÷ 2 = 222
  • 222 ÷ 2 = 111

Further dividing 111 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 111 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 888 can be written as 23 × 31 × 371 where 2, 3, 37 are prime.

 

Factors of 888 in Pairs

Pair factors of 888 are the pairs of numbers that when multiplied give the product 888. The factors of 888 in pairs are:

  • 1 × 888 = (1, 888)
  • 2 × 444 = (2, 444)
  • 3 × 296 = (3, 296)
  • 4 × 222 = (4, 222)
  • 6 × 148 = (6, 148)
  • 8 × 111 = (8, 111)
  • 12 × 74 = (12, 74)
  • 24 × 37 = (24, 37)

Negative pair factors of 888 are:

  • -1 × -888 = (-1, -888)
  • -2 × -444 = (-2, -444)
  • -3 × -296 = (-3, -296)
  • -4 × -222 = (-4, -222)
  • -6 × -148 = (-6, -148)
  • -8 × -111 = (-8, -111)
  • -12 × -74 = (-12, -74)
  • -24 × -37 = (-24, -37)

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

Factors of 888 Solved Examples

  1. Example 1: How many factors are there for 888?

    Solution:

    The factors of 888 are too many, therefore if we can find the prime factorization of 888, 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 888 = 23 × 31 × 371
    Therefore, the total number of factors are (3 + 1) × (1 + 1) × (1 + 1) = 4 × 2 × 2 = 16

  2. Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 888 and 580.

    Solution:

    The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888 and factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.

    Therefore, the Least Common Multiple (LCM) of 888 and 580 is 128760 and Highest Common Factor (HCF) of 888 and 580 is 4.

  3. Example 3: Find if 2, 3, 8, 24, 37, 57, 74 and 222 are factors of 888.

    Solution:

    When we divide 888 by 57 it leaves a remainder. Therefore, the number 57 is not a factor of 888. All numbers except 57 are factors of 888.

  4. Example 4: Find the product of all the prime factors of 888.

    Solution:

    Since, the prime factors of 888 are 2, 3, 37. Therefore, the product of prime factors = 2 × 3 × 37 = 222.

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FAQs on Factors of 888

What are the Factors of 888?

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888 and its negative factors are -1, -2, -3, -4, -6, -8, -12, -24, -37, -74, -111, -148, -222, -296, -444, -888.

What is the Sum of the Factors of 888?

Sum of all factors of 888 = (23 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (371 + 1 - 1)/(37 - 1) = 2280

What are Pair Factors of 888?

The pair factors of 888 are (1, 888), (2, 444), (3, 296), (4, 222), (6, 148), (8, 111), (12, 74), (24, 37).

What is the Greatest Common Factor of 888 and 139?

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888 and the factors of 139 are 1, 139. 888 and 139 have only one common factor which is 1. This implies that 888 and 139 are co-prime.

Hence, the Greatest Common Factor (GCF) of 888 and 139 is 1.

How Many Factors of 888 are also common to the Factors of 765?

Since, the factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888 and the factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765.
Hence, [1, 3] are the common factors of 888 and 765.

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