Factors of 792 in pair are (1, 792) , (2, 396) , (3, 264) , (4, 198) , (6, 132) , (8, 99) , (9, 88) , (11, 72) , (12, 66) , (18, 44) , (22, 36) and (24, 33)

How to find factors of a number in pair

Steps to find factors of 792 in pair

Example: Find factors of 792 in pair

Factor Pair Pair Factorization
1 and 792 1 x 792 = 792
2 and 396 2 x 396 = 792
3 and 264 3 x 264 = 792
4 and 198 4 x 198 = 792
6 and 132 6 x 132 = 792
8 and 99 8 x 99 = 792
9 and 88 9 x 88 = 792
11 and 72 11 x 72 = 792
12 and 66 12 x 66 = 792
18 and 44 18 x 44 = 792
22 and 36 22 x 36 = 792
24 and 33 24 x 33 = 792

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 792. They are called negative pair factors.

Hence, the negative pairs of 792 would be ( -1 , -792 ) .

How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- 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. So, factors of 792 in pair are (1,792), (2,396), (3,264), (4,198), (6,132), (8,99), (9,88), (11,72), (12,66), (18,44), (22,36), (24,33).

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 792 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 792.
  • Every number is a factor of zero (0), since 792 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, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 are exact divisors of 792.
  • 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. Each factor divides 792 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792 are all less than or equal to 792.

Steps to find Factors of 792

  • Step 1. Find all the numbers that would divide 792 without leaving any remainder. Starting with the number 1 upto 396 (half of 792). The number 1 and the number itself are always factors of the given number.
    792 ÷ 1 : Remainder = 0
    792 ÷ 2 : Remainder = 0
    792 ÷ 3 : Remainder = 0
    792 ÷ 4 : Remainder = 0
    792 ÷ 6 : Remainder = 0
    792 ÷ 8 : Remainder = 0
    792 ÷ 9 : Remainder = 0
    792 ÷ 11 : Remainder = 0
    792 ÷ 12 : Remainder = 0
    792 ÷ 18 : Remainder = 0
    792 ÷ 22 : Remainder = 0
    792 ÷ 24 : Remainder = 0
    792 ÷ 33 : Remainder = 0
    792 ÷ 36 : Remainder = 0
    792 ÷ 44 : Remainder = 0
    792 ÷ 66 : Remainder = 0
    792 ÷ 72 : Remainder = 0
    792 ÷ 88 : Remainder = 0
    792 ÷ 99 : Remainder = 0
    792 ÷ 132 : Remainder = 0
    792 ÷ 198 : Remainder = 0
    792 ÷ 264 : Remainder = 0
    792 ÷ 396 : Remainder = 0
    792 ÷ 792 : Remainder = 0

Hence, 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, and 792

Frequently Asked Questions

  • Is 792 a composite number?

    Yes 792 is a composite number.

  • Is 792 a prime number?

    No 792 is not a prime number.

  • What is the mean of factors of 792?

    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. therefore mean of factors of 792 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 18 + 22 + 24 + 33 + 36 + 44 + 66 + 72 + 88 + 99 + 132 + 198 + 264 + 396 + 792) / 24 = 97.50.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 792 but she is finding it difficult. Can you help her find out?

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. So, factors of 792 in pair are (1,792), (2,396), (3,264), (4,198), (6,132), (8,99), (9,88), (11,72), (12,66), (18,44), (22,36), (24,33).

Sammy wants to write all the negative factors of 792 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 792 in pair are (-1,-792), (-2,-396), (-3,-264), (-4,-198), (-6,-132), (-8,-99), (-9,-88), (-11,-72), (-12,-66), (-18,-44), (-22,-36), (-24,-33).

Help Deep in writing the positive factors of 792 in pair and negative factor of 792 in pair.

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. Positive factors of 792 in pair are (1,792), (2,396), (3,264), (4,198), (6,132), (8,99), (9,88), (11,72), (12,66), (18,44), (22,36), (24,33). Negative factors of 792 in pair are (-1,-792), (-2,-396), (-3,-264), (-4,-198), (-6,-132), (-8,-99), (-9,-88), (-11,-72), (-12,-66), (-18,-44), (-22,-36), (-24,-33).

Find the product of all factors of 792.

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. So the product of all factors of 792 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 11 x 12 x 18 x 22 x 24 x 33 x 36 x 44 x 66 x 72 x 88 x 99 x 132 x 198 x 264 x 396 x 792 = 6.09119045710389e+34.

Find the product of all prime factors of 792.

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. Prime factors are 2, 2, 2, 3, 3, 11. So, the product of all prime factors of 792 would be 2 x 2 x 2 x 3 x 3 x 11 = 792.

Can you help Sammy list the factors of 792 and also find the factor pairs?

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.
Factors of 792 in pair are (1,792), (2,396), (3,264), (4,198), (6,132), (8,99), (9,88), (11,72), (12,66), (18,44), (22,36), (24,33).

Sammy has 792 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 792 blocks in all possible ways to form a rectangle, we need to calculate factors of 792 in pair. Therefore, factors of 792 in pair are (1,792), (2,396), (3,264), (4,198), (6,132), (8,99), (9,88), (11,72), (12,66), (18,44), (22,36), (24,33)