Factors of 944
Factors of 944 are integers that can be divided evenly into 944. There are overall 10 factors of 944 among which 944 is the biggest factor and 2, 59 are its prime factors. The Prime Factorization of 944 is 24 × 591.
- All Factors of 944: 1, 2, 4, 8, 16, 59, 118, 236, 472 and 944
- Negative Factors of 944: -1, -2, -4, -8, -16, -59, -118, -236, -472 and -944
- Prime Factors of 944: 2, 59
- Prime Factorization of 944: 24 × 591
- Sum of Factors of 944: 1860
1. | What Are the Factors of 944? |
2. | Factors of 944 by Prime Factorization |
3. | Factors of 944 in Pairs |
4. | FAQs on Factors of 944 |

What are Factors of 944?
Factors of 944 are pairs of those numbers whose products result in 944. These factors are either prime numbers or composite numbers.
How to Find the Factors of 944?
To find the factors of 944, we will have to find the list of numbers that would divide 944 without leaving any remainder.
- 944/944 = 1; therefore, 944 is a factor of 944.
- 944/236 = 4; therefore, 236 is a factor of 944.
☛ Also Check:
- Factors of 35 - The factors of 35 are 1, 5, 7, 35
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 944 by Prime Factorization
- 944 ÷ 2 = 472
- 472 ÷ 2 = 236
- 236 ÷ 2 = 118
- 118 ÷ 2 = 59
Further dividing 59 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 59 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 944 can be written as 24 × 591 where 2, 59 are prime.
Factors of 944 in Pairs
Pair factors of 944 are the pairs of numbers that when multiplied give the product 944. The factors of 944 in pairs are:
- 1 × 944 = (1, 944)
- 2 × 472 = (2, 472)
- 4 × 236 = (4, 236)
- 8 × 118 = (8, 118)
- 16 × 59 = (16, 59)
Negative pair factors of 944 are:
- -1 × -944 = (-1, -944)
- -2 × -472 = (-2, -472)
- -4 × -236 = (-4, -236)
- -8 × -118 = (-8, -118)
- -16 × -59 = (-16, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 944 Solved Examples
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Example 1: How many factors are there for 944?
Solution:
The factors of 944 are too many, therefore if we can find the prime factorization of 944, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 944 = 24 × 591
Therefore, the total number of factors are (4 + 1) × (1 + 1) = 5 × 2 = 10 -
Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 944 and 849.
Solution:
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944 and factors of 849 are 1, 3, 283, 849.
Therefore, the Least Common Multiple (LCM) of 944 and 849 is 801456 and Highest Common Factor (HCF) of 944 and 849 is 1. -
Example 3: Find if 4, 8, 118, 236, 638 and 944 are factors of 944.
Solution:
When we divide 944 by 638 it leaves a remainder. Therefore, the number 638 is not a factor of 944. All numbers except 638 are factors of 944.
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Example 4: Find the product of all the prime factors of 944.
Solution:
Since, the prime factors of 944 are 2, 59. Therefore, the product of prime factors = 2 × 59 = 118.
FAQs on Factors of 944
What are the Factors of 944?
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944 and its negative factors are -1, -2, -4, -8, -16, -59, -118, -236, -472, -944.
What is the Sum of all the Factors of 944?
Sum of all factors of 944 = (24 + 1 - 1)/(2 - 1) × (591 + 1 - 1)/(59 - 1) = 1860
What are Prime Factors of 944?
The prime factors of 944 are 2, 59.
What is the Greatest Common Factor of 944 and 939?
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944 and the factors of 939 are 1, 3, 313, 939. 944 and 939 have only one common factor which is 1. This implies that 944 and 939 are co-prime.
Hence, the Greatest Common Factor (GCF) of 944 and 939 is 1.
How Many Factors of 944 are also Factors of 761?
Since, the factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944 and factors of 761 are 1, 761. Hence, 944 and 761 have only one common factor which is 1. Therefore, 944 and 761 are co-prime.
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