# Factors of 944

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

#### How to find factors of a number

 1.   Find factors of 944 using Division Method 2.   Find factors of 944 using Prime Factorization 3.   Find factors of 944 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 944

• Divide 944 by 1: 944 ÷ 1 : Remainder = 0
• Divide 944 by 2: 944 ÷ 2 : Remainder = 0
• Divide 944 by 4: 944 ÷ 4 : Remainder = 0
• Divide 944 by 8: 944 ÷ 8 : Remainder = 0
• Divide 944 by 16: 944 ÷ 16 : Remainder = 0
• Divide 944 by 59: 944 ÷ 59 : Remainder = 0
• Divide 944 by 118: 944 ÷ 118 : Remainder = 0
• Divide 944 by 236: 944 ÷ 236 : Remainder = 0
• Divide 944 by 472: 944 ÷ 472 : Remainder = 0
• Divide 944 by 944: 944 ÷ 944 : Remainder = 0

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

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 ) , ( -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.

• 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

Kevin has been asked to write 9 factor(s) of 944. Can you predict the answer?

9 factor(s) of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472.

Sammy is puzzled while calculating the prime factors of 944. Can you help him find them?

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 is prime factorization of 944?

Prime factorization of 944 is 2 x 2 x 2 x 2 x 59 = 24 x 59.

Ariel has been assigned the task to find the product of all the prime factors of 944. Can you help her?

Prime factors of 944 are 2, 2, 2, 2, 59.
Hence, the product of prime factors of 118.

Can you help Rubel to find out the product of the even factors of 944?

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
Even factors of 944 are 2, 4, 8, 16, 118, 236, 472, 944.
Hence, product of even factors of 944 is; 2 x 4 x 8 x 16 x 118 x 236 x 472 x 944 = 12705973927936.

Joy wants to calculate mean of all the factors of 944. Help him in finding the mean of 944.

Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 944 is 1 + 2 + 4 + 8 + 16 + 59 + 118 + 236 + 472 + 944 = 1860.
Hence, the mean of factors of 944 is 1860 ÷ 10 = 186.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 944? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944.
Negative factors are -1, -2, -4, -8, -16, -59, -118, -236, -472, -944.