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Factors of 936

Factors of 936 are numbers that, when multiplied in pairs give the product as 936. There are 24 factors of 936, of which the following are its prime factors 2, 3, 13. The sum of all factors of 936 is 2730.

  • All Factors of 936: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468 and 936
  • Prime Factors of 936: 2, 3, 13
  • Prime Factorization of 936: 23 × 32 × 131
  • Sum of Factors of 936: 2730
1. What Are the Factors of 936?
2. Factors of 936 by Prime Factorization
3. Factors of 936 in Pairs
4. FAQs on Factors of 936
Factors of 936

What are Factors of 936?

Factors of 936 are pairs of those numbers whose products result in 936. These factors are either prime numbers or composite numbers.

How to Find the Factors of 936?

To find the factors of 936, we will have to find the list of numbers that would divide 936 without leaving any remainder.

  • 936/4 = 234; therefore, 4 is a factor of 936 and 234 is also a factor of 936.
  • 936/6 = 156; therefore, 6 is a factor of 936 and 156 is also a factor of 936.
Similarly we can find other factors. Hence, the factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.

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Factors of 936 by Prime Factorization

The number 936 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 936. The first step is to divide the number 936 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 936 ÷ 2 = 468
  • 468 ÷ 2 = 234
  • 234 ÷ 2 = 117

Further dividing 117 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 117 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 936 can be written as 23 × 32 × 131 where 2, 3, 13 are prime.

 

Factors of 936 in Pairs

Pair factors of 936 are the pairs of numbers that when multiplied give the product 936. The factors of 936 in pairs are:

  • 1 × 936 = (1, 936)
  • 2 × 468 = (2, 468)
  • 3 × 312 = (3, 312)
  • 4 × 234 = (4, 234)
  • 6 × 156 = (6, 156)
  • 8 × 117 = (8, 117)
  • 9 × 104 = (9, 104)
  • 12 × 78 = (12, 78)
  • 13 × 72 = (13, 72)
  • 18 × 52 = (18, 52)
  • 24 × 39 = (24, 39)
  • 26 × 36 = (26, 36)

Negative pair factors of 936 are:

  • -1 × -936 = (-1, -936)
  • -2 × -468 = (-2, -468)
  • -3 × -312 = (-3, -312)
  • -4 × -234 = (-4, -234)
  • -6 × -156 = (-6, -156)
  • -8 × -117 = (-8, -117)
  • -9 × -104 = (-9, -104)
  • -12 × -78 = (-12, -78)
  • -13 × -72 = (-13, -72)
  • -18 × -52 = (-18, -52)
  • -24 × -39 = (-24, -39)
  • -26 × -36 = (-26, -36)

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

Factors of 936 Solved Examples

  1. Example 1: How many factors are there for 936?

    Solution:

    The factors of 936 are too many, therefore if we can find the prime factorization of 936, 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 936 = 23 × 32 × 131
    Therefore, the total number of factors are (3 + 1) × (2 + 1) × (1 + 1) = 4 × 3 × 2 = 24

  2. Example 2: Find the LCM and Greatest Common Divisor (GCD) of 936 and 173.

    Solution:

    The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936 and factors of 173 are 1, 173.

    Therefore, the LCM of 936 and 173 is 161928 and Greatest Common Divisor (GCD) of 936 and 173 is 1.

  3. Example 3: Find if 1, 4, 8, 36, 104, 156, 234 and 936 are factors of 936.

    Solution:

    When we divide 936 by 1, 4, 8, 36, 104, 156, 234, 936 it doesn't leave any remainder. Therefore, 1, 4, 8, 36, 104, 156, 234, 936 are factors of 936.

  4. Example 4: Find the product of all the prime factors of 936.

    Solution:

    Since, the prime factors of 936 are 2, 3, 13. Therefore, the product of prime factors = 2 × 3 × 13 = 78.

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FAQs on Factors of 936

What are the Factors of 936?

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936 and its negative factors are -1, -2, -3, -4, -6, -8, -9, -12, -13, -18, -24, -26, -36, -39, -52, -72, -78, -104, -117, -156, -234, -312, -468, -936.

What is the Sum of Factors of 936?

Sum of all factors of 936 = (23 + 1 - 1)/(2 - 1) × (32 + 1 - 1)/(3 - 1) × (131 + 1 - 1)/(13 - 1) = 2730

What are Pair Factors of 936?

The pair factors of 936 are (1, 936), (2, 468), (3, 312), (4, 234), (6, 156), (8, 117), (9, 104), (12, 78), (13, 72), (18, 52), (24, 39), (26, 36).

What is the Greatest Common Factor of 936 and 239?

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936 and the factors of 239 are 1, 239. 936 and 239 have only one common factor which is 1. This implies that 936 and 239 are co-prime.

Hence, the Greatest Common Factor (GCF) of 936 and 239 is 1.

How Many Factors of 936 are also Factors of 85?

Since, the factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936 and factors of 85 are 1, 5, 17, 85. Hence, 936 and 85 have only one common factor which is 1. Therefore, 936 and 85 are co-prime.

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