Factors of 832 in pair are (1, 832) , (2, 416) , (4, 208) , (8, 104) , (13, 64) , (16, 52) and (26, 32)

How to find factors of a number in pair

Steps to find factors of 832 in pair

Example: Find factors of 832 in pair

Factor Pair Pair Factorization
1 and 832 1 x 832 = 832
2 and 416 2 x 416 = 832
4 and 208 4 x 208 = 832
8 and 104 8 x 104 = 832
13 and 64 13 x 64 = 832
16 and 52 16 x 52 = 832
26 and 32 26 x 32 = 832

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 832. They are called negative pair factors.

Hence, the negative pairs of 832 would be ( -1 , -832 ) .

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 832 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 32 , 52 , 64 , 104 , 208 , 416 , 832. So, factors of 832 in pair are (1,832), (2,416), (4,208), (8,104), (13,64), (16,52), (26,32).

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. 832 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 832.
  • Every number is a factor of zero (0), since 832 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, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832 are exact divisors of 832.
  • Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. Each factor divides 832 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832 are all less than or equal to 832.

Steps to find Factors of 832

  • Step 1. Find all the numbers that would divide 832 without leaving any remainder. Starting with the number 1 upto 416 (half of 832). The number 1 and the number itself are always factors of the given number.
    832 ÷ 1 : Remainder = 0
    832 ÷ 2 : Remainder = 0
    832 ÷ 4 : Remainder = 0
    832 ÷ 8 : Remainder = 0
    832 ÷ 13 : Remainder = 0
    832 ÷ 16 : Remainder = 0
    832 ÷ 26 : Remainder = 0
    832 ÷ 32 : Remainder = 0
    832 ÷ 52 : Remainder = 0
    832 ÷ 64 : Remainder = 0
    832 ÷ 104 : Remainder = 0
    832 ÷ 208 : Remainder = 0
    832 ÷ 416 : Remainder = 0
    832 ÷ 832 : Remainder = 0

Hence, Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, and 832

Frequently Asked Questions

  • Is 832 a composite number?

    Yes 832 is a composite number.

  • Is 832 a prime number?

    No 832 is not a prime number.

  • Write five multiples of 832.

    Five multiples of 832 are 1664, 2496, 3328, 4160, 4992.

  • Write all odd factors of 832?

    The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
    Odd factors of 832 are 1 , 13.

  • What is the mean of all prime factors of 832?

    Factors of 832 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 32 , 52 , 64 , 104 , 208 , 416 , 832. Prime factors of 832 are 2 , 2 , 2 , 2 , 2 , 2 , 13. Therefore mean of prime factors of 832 is (2 + 2 + 2 + 2 + 2 + 2 + 13) / 7 = 3.57.

Examples of Factors

Ariel has been asked to write all factor pairs of 832 but she is finding it difficult. Can you help her find out?

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. So, factors of 832 in pair are (1,832), (2,416), (4,208), (8,104), (13,64), (16,52), (26,32).

Sammy wants to write all the negative factors of 832 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 832 are -1, -2, -4, -8, -13, -16, -26, -32, -52, -64, -104, -208, -416, -832. Hence, factors of 832 in pair are (-1,-832), (-2,-416), (-4,-208), (-8,-104), (-13,-64), (-16,-52), (-26,-32).

Help Deep in writing the positive factors of 832 in pair and negative factor of 832 in pair.

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. Positive factors of 832 in pair are (1,832), (2,416), (4,208), (8,104), (13,64), (16,52), (26,32). Negative factors of 832 in pair are (-1,-832), (-2,-416), (-4,-208), (-8,-104), (-13,-64), (-16,-52), (-26,-32).

Find the product of all factors of 832.

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. So the product of all factors of 832 would be 1 x 2 x 4 x 8 x 13 x 16 x 26 x 32 x 52 x 64 x 104 x 208 x 416 x 832 = 275970896268800030000.

Find the product of all prime factors of 832.

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. Prime factors are 2, 2, 2, 2, 2, 2, 13. So, the product of all prime factors of 832 would be 2 x 2 x 2 x 2 x 2 x 2 x 13 = 832.

Can you help Sammy list the factors of 832 and also find the factor pairs?

Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
Factors of 832 in pair are (1,832), (2,416), (4,208), (8,104), (13,64), (16,52), (26,32).

Sammy has 832 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 832 blocks in all possible ways to form a rectangle, we need to calculate factors of 832 in pair. Therefore, factors of 832 in pair are (1,832), (2,416), (4,208), (8,104), (13,64), (16,52), (26,32)