Steps to find factors of 944 in pair

Example: Find factors of 944 in pair

Factor Pair Pair Factorization
1 and 944 1 x 944 = 944
2 and 472 2 x 472 = 944
4 and 236 4 x 236 = 944
8 and 118 8 x 118 = 944
16 and 59 16 x 59 = 944

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 944. They are called negative pair factors.

Hence, the negative pairs of 944 would be ( -1 , -944 ) .

What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 944 are 1 , 2 , 4 , 8 , 16 , 59 , 118 , 236 , 472 , 944. So, factors of 944 in pair are (1,944), (2,472), (4,236), (8,118), (16,59).

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 944 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 944.
  • Every number is a factor of zero (0), since 944 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, 16, 59, 118, 236, 472, 944 are exact divisors of 944.
  • Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. Each factor divides 944 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 59, 118, 236, 472, 944 are all less than or equal to 944.

Steps to find Factors of 944

  • Step 1. Find all the numbers that would divide 944 without leaving any remainder. Starting with the number 1 upto 472 (half of 944). The number 1 and the number itself are always factors of the given number.
    944 ÷ 1 : Remainder = 0
    944 ÷ 2 : Remainder = 0
    944 ÷ 4 : Remainder = 0
    944 ÷ 8 : Remainder = 0
    944 ÷ 16 : Remainder = 0
    944 ÷ 59 : Remainder = 0
    944 ÷ 118 : Remainder = 0
    944 ÷ 236 : Remainder = 0
    944 ÷ 472 : Remainder = 0
    944 ÷ 944 : Remainder = 0

Hence, Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, and 944

Frequently Asked Questions

  • Is 944 a composite number?

    Yes 944 is a composite number.

  • Is 944 a prime number?

    No 944 is not a prime number.

  • Is 944 a perfect square?

    No 944 is not a perfect square.

  • Write five multiples of 944.

    Five multiples of 944 are 1888, 2832, 3776, 4720, 5664.

  • Write all odd factors of 944?

    The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
    Odd factors of 944 are 1 , 59.

Examples of Factors

Ariel has been asked to write all factor pairs of 944 but she is finding it difficult. Can you help her find out?

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. So, factors of 944 in pair are (1,944), (2,472), (4,236), (8,118), (16,59).

Sammy wants to write all the negative factors of 944 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 944 are -1, -2, -4, -8, -16, -59, -118, -236, -472, -944. Hence, factors of 944 in pair are (-1,-944), (-2,-472), (-4,-236), (-8,-118), (-16,-59).

Help Deep in writing the positive factors of 944 in pair and negative factor of 944 in pair.

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. Positive factors of 944 in pair are (1,944), (2,472), (4,236), (8,118), (16,59). Negative factors of 944 in pair are (-1,-944), (-2,-472), (-4,-236), (-8,-118), (-16,-59).

Find the product of all factors of 944.

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. So the product of all factors of 944 would be 1 x 2 x 4 x 8 x 16 x 59 x 118 x 236 x 472 x 944 = 749652461748224.

Find the product of all prime factors of 944.

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. Prime factors are 2, 2, 2, 2, 59. So, the product of all prime factors of 944 would be 2 x 2 x 2 x 2 x 59 = 944.

Can you help Sammy list the factors of 944 and also find the factor pairs?

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
Factors of 944 in pair are (1,944), (2,472), (4,236), (8,118), (16,59).

Sammy has 944 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 944 blocks in all possible ways to form a rectangle, we need to calculate factors of 944 in pair. Therefore, factors of 944 in pair are (1,944), (2,472), (4,236), (8,118), (16,59)