Factors of 944

2. Steps to find factors of 944 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 944 using the division method, follow these steps:

• Step 1. Start dividing 944 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 944, which is 2. Divide 944 by 2 to obtain the quotient (472).
  944 ÷ 2 = 472
• Step 3. Repeat step 1 with the obtained quotient (472).
  472 ÷ 2 = 236
  236 ÷ 2 = 118
  118 ÷ 2 = 59
  59 ÷ 59 = 1

So, the prime factorization of 944 is, 944 = 2 x 2 x 2 x 2 x 59.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 944 as shown below:

So, the prime factorization of 944 is, 944 = 2 x 2 x 2 x 2 x 59.

3. Find factors of 944 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 944 would be the two numbers which, when multiplied, give 944 as the result.

The following table represents the calculation of factors of 944 in pairs:

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 ) , ( -2 , -472 ) , ( -4 , -236 ) , ( -8 , -118 ) and ( -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.

Frequently Asked Questions

• What is prime factorization of 944?

  Prime factorization of 944 is 2 x 2 x 2 x 2 x 59.

• How do you find factors of a negative number? ( eg. -944 )?

  Factors of -944 are -1, -2, -4, -8, -16, -59, -118, -236, -472, -944.

• What are the prime factors of 944?

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

• What are pair factors of 944?

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

• What is the greatest prime factors of 944?

  The greatest prime factor of 944 is 59.

• What are six multiples of 944?

  First five multiples of 944 are 1888, 2832, 3776, 4720, 5664, 6608.

• What are factors of 944?

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

• Which is the smallest prime factor of 944?

  Smallest prime factor of 944 is 2.

• Is 944 a whole number?

  Yes 944 is a whole number.

Examples of Factors