Factors of 492
Factors of 492 are integers that can be divided evenly into 492. It has total 12 factors of which 492 is the biggest factor and the prime factors of 492 are 2, 3, 41. The sum of all factors of 492 is 1176.
- All Factors of 492: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492
- Prime Factors of 492: 2, 3, 41
- Prime Factorization of 492: 22 × 31 × 411
- Sum of Factors of 492: 1176
1. | What Are the Factors of 492? |
2. | Factors of 492 by Prime Factorization |
3. | Factors of 492 in Pairs |
4. | FAQs on Factors of 492 |

What are Factors of 492?
Factors of 492 are pairs of those numbers whose products result in 492. These factors are either prime numbers or composite numbers.
How to Find the Factors of 492?
To find the factors of 492, we will have to find the list of numbers that would divide 492 without leaving any remainder.
- 492/123 = 4; therefore, 123 is a factor of 492 and 4 is also a factor of 492.
- 492/6 = 82; therefore, 6 is a factor of 492 and 82 is also a factor of 492.
☛ Also Check:
- Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
Factors of 492 by Prime Factorization
- 492 ÷ 2 = 246
- 246 ÷ 2 = 123
Further dividing 123 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 123 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 492 can be written as 22 × 31 × 411 where 2, 3, 41 are prime.
Factors of 492 in Pairs
Pair factors of 492 are the pairs of numbers that when multiplied give the product 492. The factors of 492 in pairs are:
- 1 × 492 = (1, 492)
- 2 × 246 = (2, 246)
- 3 × 164 = (3, 164)
- 4 × 123 = (4, 123)
- 6 × 82 = (6, 82)
- 12 × 41 = (12, 41)
Negative pair factors of 492 are:
- -1 × -492 = (-1, -492)
- -2 × -246 = (-2, -246)
- -3 × -164 = (-3, -164)
- -4 × -123 = (-4, -123)
- -6 × -82 = (-6, -82)
- -12 × -41 = (-12, -41)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 492 Solved Examples
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Example 1: How many factors are there for 492?
Solution:
The factors of 492 are too many, therefore if we can find the prime factorization of 492, 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 492 = 22 × 31 × 411
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the LCM and Greatest Common Divisor (GCD) of 492 and 207.
Solution:
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 and factors of 207 are 1, 3, 9, 23, 69, 207.
Therefore, the LCM of 492 and 207 is 33948 and Greatest Common Divisor (GCD) of 492 and 207 is 3. -
Example 3: Find if 3, 6, 41, 123, 164, 246 and 307 are factors of 492.
Solution:
When we divide 492 by 307 it leaves a remainder. Therefore, the number 307 is not a factor of 492. All numbers except 307 are factors of 492.
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Example 4: Find the product of all the prime factors of 492.
Solution:
Since, the prime factors of 492 are 2, 3, 41. Therefore, the product of prime factors = 2 × 3 × 41 = 246.
FAQs on Factors of 492
What are the Factors of 492?
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 and its negative factors are -1, -2, -3, -4, -6, -12, -41, -82, -123, -164, -246, -492.
What is the Sum of Factors of 492?
Sum of all factors of 492 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (411 + 1 - 1)/(41 - 1) = 1176
What are Prime Factors of 492?
The prime factors of 492 are 2, 3, 41.
What is the Greatest Common Factor of 492 and 423?
The factors of 492 and 423 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 and 1, 3, 9, 47, 141, 423 respectively.
Common factors of 492 and 423 are [1, 3].
Hence, the GCF of 492 and 423 is 3.
How Many Factors of 492 are also common to the Factors of 205?
Since, the factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492 and the factors of 205 are 1, 5, 41, 205.
Hence, [1, 41] are the common factors of 492 and 205.
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