Factors of 912
Factors of 912 are the list of integers that can be evenly divided into 912. There are 20 factors of 912 of which 912 itself is the biggest factor and its prime factors are 2, 3, 19 The Prime Factorization of 912 is 24 × 31 × 191.
- All Factors of 912: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456 and 912
- Prime Factors of 912: 2, 3, 19
- Prime Factorization of 912: 24 × 31 × 191
- Sum of Factors of 912: 2480
1. | What Are the Factors of 912? |
2. | Factors of 912 by Prime Factorization |
3. | Factors of 912 in Pairs |
4. | FAQs on Factors of 912 |

What are Factors of 912?
Factors of 912 are pairs of those numbers whose products result in 912. These factors are either prime numbers or composite numbers.
How to Find the Factors of 912?
To find the factors of 912, we will have to find the list of numbers that would divide 912 without leaving any remainder.
- 912/456 = 2; therefore, 456 is a factor of 912 and 2 is also a factor of 912.
- 912/76 = 12; therefore, 76 is a factor of 912 and 12 is also a factor of 912.
☛ Also Check:
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 26 - The factors of 26 are 1, 2, 13, 26
- Factors of 41 - The factors of 41 are 1, 41
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 912 by Prime Factorization
- 912 ÷ 2 = 456
- 456 ÷ 2 = 228
- 228 ÷ 2 = 114
- 114 ÷ 2 = 57
Further dividing 57 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 57 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 912 can be written as 24 × 31 × 191 where 2, 3, 19 are prime.
Factors of 912 in Pairs
Pair factors of 912 are the pairs of numbers that when multiplied give the product 912. The factors of 912 in pairs are:
- 1 × 912 = (1, 912)
- 2 × 456 = (2, 456)
- 3 × 304 = (3, 304)
- 4 × 228 = (4, 228)
- 6 × 152 = (6, 152)
- 8 × 114 = (8, 114)
- 12 × 76 = (12, 76)
- 16 × 57 = (16, 57)
- 19 × 48 = (19, 48)
- 24 × 38 = (24, 38)
Negative pair factors of 912 are:
- -1 × -912 = (-1, -912)
- -2 × -456 = (-2, -456)
- -3 × -304 = (-3, -304)
- -4 × -228 = (-4, -228)
- -6 × -152 = (-6, -152)
- -8 × -114 = (-8, -114)
- -12 × -76 = (-12, -76)
- -16 × -57 = (-16, -57)
- -19 × -48 = (-19, -48)
- -24 × -38 = (-24, -38)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 912 Solved Examples
-
Example 1: How many factors are there for 912?
Solution:
The factors of 912 are too many, therefore if we can find the prime factorization of 912, 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 912 = 24 × 31 × 191
Therefore, the total number of factors are (4 + 1) × (1 + 1) × (1 + 1) = 5 × 2 × 2 = 20 -
Example 2: Find the LCM and Highest Common Factor (HCF) of 912 and 602.
Solution:
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912 and factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602.
Therefore, the LCM of 912 and 602 is 274512 and Highest Common Factor (HCF) of 912 and 602 is 2. -
Example 3: Find if 1, 3, 4, 16, 24, 57, 114 and 374 are factors of 912.
Solution:
When we divide 912 by 374 it leaves a remainder. Therefore, the number 374 is not a factor of 912. All numbers except 374 are factors of 912.
-
Example 4: Find the product of all the prime factors of 912.
Solution:
Since, the prime factors of 912 are 2, 3, 19. Therefore, the product of prime factors = 2 × 3 × 19 = 114.
FAQs on Factors of 912
What are the Factors of 912?
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912 and its negative factors are -1, -2, -3, -4, -6, -8, -12, -16, -19, -24, -38, -48, -57, -76, -114, -152, -228, -304, -456, -912.
What is the Sum of Factors of 912?
Sum of all factors of 912 = (24 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (191 + 1 - 1)/(19 - 1) = 2480
What Numbers are the Prime Factors of 912?
The prime factors of 912 are 2, 3, 19.
What is the Greatest Common Factor of 912 and 726?
The factors of 912 and 726 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912 and 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726 respectively.
Common factors of 912 and 726 are [1, 2, 3, 6].
Hence, the Greatest Common Factor (GCF) of 912 and 726 is 6.
How Many Factors of 912 are also Factors of 433?
Since, the factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912 and factors of 433 are 1, 433. Hence, 912 and 433 have only one common factor which is 1. Therefore, 912 and 433 are co-prime.
visual curriculum