Factors of 768 in pair are (1, 768) , (2, 384) , (3, 256) , (4, 192) , (6, 128) , (8, 96) , (12, 64) , (16, 48) and (24, 32)

How to find factors of a number in pair

Steps to find factors of 768 in pair

Example: Find factors of 768 in pair

Factor Pair Pair Factorization
1 and 768 1 x 768 = 768
2 and 384 2 x 384 = 768
3 and 256 3 x 256 = 768
4 and 192 4 x 192 = 768
6 and 128 6 x 128 = 768
8 and 96 8 x 96 = 768
12 and 64 12 x 64 = 768
16 and 48 16 x 48 = 768
24 and 32 24 x 32 = 768

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 768. They are called negative pair factors.

Hence, the negative pairs of 768 would be ( -1 , -768 ) .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 768 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 64 , 96 , 128 , 192 , 256 , 384 , 768. So, factors of 768 in pair are (1,768), (2,384), (3,256), (4,192), (6,128), (8,96), (12,64), (16,48), (24,32).

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 768 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 768.
  • Every number is a factor of zero (0), since 768 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, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768 are exact divisors of 768.
  • Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. Each factor divides 768 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768 are all less than or equal to 768.

Steps to find Factors of 768

  • Step 1. Find all the numbers that would divide 768 without leaving any remainder. Starting with the number 1 upto 384 (half of 768). The number 1 and the number itself are always factors of the given number.
    768 ÷ 1 : Remainder = 0
    768 ÷ 2 : Remainder = 0
    768 ÷ 3 : Remainder = 0
    768 ÷ 4 : Remainder = 0
    768 ÷ 6 : Remainder = 0
    768 ÷ 8 : Remainder = 0
    768 ÷ 12 : Remainder = 0
    768 ÷ 16 : Remainder = 0
    768 ÷ 24 : Remainder = 0
    768 ÷ 32 : Remainder = 0
    768 ÷ 48 : Remainder = 0
    768 ÷ 64 : Remainder = 0
    768 ÷ 96 : Remainder = 0
    768 ÷ 128 : Remainder = 0
    768 ÷ 192 : Remainder = 0
    768 ÷ 256 : Remainder = 0
    768 ÷ 384 : Remainder = 0
    768 ÷ 768 : Remainder = 0

Hence, Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, and 768

Frequently Asked Questions

  • Is 768 a composite number?

    Yes 768 is a composite number.

  • Is 768 a prime number?

    No 768 is not a prime number.

  • What is the mean of factors of 768?

    Factors of 768 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 64 , 96 , 128 , 192 , 256 , 384 , 768. therefore mean of factors of 768 is (1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 64 + 96 + 128 + 192 + 256 + 384 + 768) / 18 = 113.56.

  • 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 768 but she is finding it difficult. Can you help her find out?

Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. So, factors of 768 in pair are (1,768), (2,384), (3,256), (4,192), (6,128), (8,96), (12,64), (16,48), (24,32).

Sammy wants to write all the negative factors of 768 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 768 are -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -64, -96, -128, -192, -256, -384, -768. Hence, factors of 768 in pair are (-1,-768), (-2,-384), (-3,-256), (-4,-192), (-6,-128), (-8,-96), (-12,-64), (-16,-48), (-24,-32).

Help Deep in writing the positive factors of 768 in pair and negative factor of 768 in pair.

Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. Positive factors of 768 in pair are (1,768), (2,384), (3,256), (4,192), (6,128), (8,96), (12,64), (16,48), (24,32). Negative factors of 768 in pair are (-1,-768), (-2,-384), (-3,-256), (-4,-192), (-6,-128), (-8,-96), (-12,-64), (-16,-48), (-24,-32).

Find the product of all factors of 768.

Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. So the product of all factors of 768 would be 1 x 2 x 3 x 4 x 6 x 8 x 12 x 16 x 24 x 32 x 48 x 64 x 96 x 128 x 192 x 256 x 384 x 768 = 9.295033948232323e+25.

Find the product of all prime factors of 768.

Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768. Prime factors are 2, 2, 2, 2, 2, 2, 2, 2, 3. So, the product of all prime factors of 768 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 = 768.

Can you help Sammy list the factors of 768 and also find the factor pairs?

Factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768.
Factors of 768 in pair are (1,768), (2,384), (3,256), (4,192), (6,128), (8,96), (12,64), (16,48), (24,32).

Sammy has 768 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 768 blocks in all possible ways to form a rectangle, we need to calculate factors of 768 in pair. Therefore, factors of 768 in pair are (1,768), (2,384), (3,256), (4,192), (6,128), (8,96), (12,64), (16,48), (24,32)