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Factors of 792

Factors of 792 are the list of integers that we can split evenly into 792. There are overall 24 factors of 792 among which 792 is the biggest factor and its prime factors are 2, 3, 11. The Prime Factorization of 792 is 23 × 32 × 111.

  • All Factors of 792: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396 and 792
  • Prime Factors of 792: 2, 3, 11
  • Prime Factorization of 792: 23 × 32 × 111
  • Sum of Factors of 792: 2340
1. What Are the Factors of 792?
2. Factors of 792 by Prime Factorization
3. Factors of 792 in Pairs
4. FAQs on Factors of 792
Factors of 792

What are Factors of 792?

Factors of 792 are pairs of those numbers whose products result in 792. These factors are either prime numbers or composite numbers.

How to Find the Factors of 792?

To find the factors of 792, we will have to find the list of numbers that would divide 792 without leaving any remainder.

  • 792/264 = 3; therefore, 264 is a factor of 792 and 3 is also a factor of 792.
  • 792/132 = 6; therefore, 132 is a factor of 792 and 6 is also a factor of 792.
Similarly we can find other factors. Hence, the factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792.

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Factors of 792 by Prime Factorization

The number 792 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 792. The first step is to divide the number 792 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 792 ÷ 2 = 396
  • 396 ÷ 2 = 198
  • 198 ÷ 2 = 99

Further dividing 99 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 99 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 792 can be written as 23 × 32 × 111 where 2, 3, 11 are prime.

 

Factors of 792 in Pairs

Pair factors of 792 are the pairs of numbers that when multiplied give the product 792. The factors of 792 in pairs are:

  • 1 × 792 = (1, 792)
  • 2 × 396 = (2, 396)
  • 3 × 264 = (3, 264)
  • 4 × 198 = (4, 198)
  • 6 × 132 = (6, 132)
  • 8 × 99 = (8, 99)
  • 9 × 88 = (9, 88)
  • 11 × 72 = (11, 72)
  • 12 × 66 = (12, 66)
  • 18 × 44 = (18, 44)
  • 22 × 36 = (22, 36)
  • 24 × 33 = (24, 33)

Negative pair factors of 792 are:

  • -1 × -792 = (-1, -792)
  • -2 × -396 = (-2, -396)
  • -3 × -264 = (-3, -264)
  • -4 × -198 = (-4, -198)
  • -6 × -132 = (-6, -132)
  • -8 × -99 = (-8, -99)
  • -9 × -88 = (-9, -88)
  • -11 × -72 = (-11, -72)
  • -12 × -66 = (-12, -66)
  • -18 × -44 = (-18, -44)
  • -22 × -36 = (-22, -36)
  • -24 × -33 = (-24, -33)

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

Factors of 792 Solved Examples

  1. Example 1: How many factors are there for 792?

    Solution:

    The factors of 792 are too many, therefore if we can find the prime factorization of 792, 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 792 = 23 × 32 × 111
    Therefore, the total number of factors are (3 + 1) × (2 + 1) × (1 + 1) = 4 × 3 × 2 = 24

  2. Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 792 and 271.

    Solution:

    The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 and factors of 271 are 1, 271.

    Therefore, the Lowest Common Multiple (LCM) of 792 and 271 is 214632 and Highest Common Factor (HCF) of 792 and 271 is 1.

  3. Example 3: Find if 1, 33, 36, 66, 72, 132, 264 and 750 are factors of 792.

    Solution:

    When we divide 792 by 750 it leaves a remainder. Therefore, the number 750 is not a factor of 792. All numbers except 750 are factors of 792.

  4. Example 4: Find the product of all the prime factors of 792.

    Solution:

    Since, the prime factors of 792 are 2, 3, 11. Therefore, the product of prime factors = 2 × 3 × 11 = 66.

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FAQs on Factors of 792

What are the Factors of 792?

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 and its negative factors are -1, -2, -3, -4, -6, -8, -9, -11, -12, -18, -22, -24, -33, -36, -44, -66, -72, -88, -99, -132, -198, -264, -396, -792.

What is the Sum of all the Factors of 792?

Sum of all factors of 792 = (23 + 1 - 1)/(2 - 1) × (32 + 1 - 1)/(3 - 1) × (111 + 1 - 1)/(11 - 1) = 2340

What are Prime Factors of 792?

The prime factors of 792 are 2, 3, 11.

What is the Greatest Common Factor of 792 and 673?

The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 and the factors of 673 are 1, 673. 792 and 673 have only one common factor which is 1. This implies that 792 and 673 are co-prime.

Hence, the Greatest Common Factor (GCF) of 792 and 673 is 1.

How Many Factors of 792 are also Factors of 698?

Since, the factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 and the factors of 698 are 1, 2, 349, 698.
Hence, [1, 2] are the common factors of 792 and 698.

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