Factors of 708
Factors of 708 are integers that can be divided evenly into 708. There are 12 factors of 708, of which the following are its prime factors 2, 3, 59. The sum of all factors of 708 is 1680.
- All Factors of 708: 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354 and 708
- Prime Factors of 708: 2, 3, 59
- Prime Factorization of 708: 22 × 31 × 591
- Sum of Factors of 708: 1680
1. | What Are the Factors of 708? |
2. | Factors of 708 by Prime Factorization |
3. | Factors of 708 in Pairs |
4. | FAQs on Factors of 708 |

What are Factors of 708?
Factors of 708 are pairs of those numbers whose products result in 708. These factors are either prime numbers or composite numbers.
How to Find the Factors of 708?
To find the factors of 708, we will have to find the list of numbers that would divide 708 without leaving any remainder.
- 708/2 = 354; therefore, 2 is a factor of 708 and 354 is also a factor of 708.
- 708/236 = 3; therefore, 236 is a factor of 708 and 3 is also a factor of 708.
☛ Also Check:
- Factors of 17 - The factors of 17 are 1, 17
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
- Factors of 125 - The factors of 125 are 1, 5, 25, 125
Factors of 708 by Prime Factorization
- 708 ÷ 2 = 354
- 354 ÷ 2 = 177
Further dividing 177 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 177 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 708 can be written as 22 × 31 × 591 where 2, 3, 59 are prime.
Factors of 708 in Pairs
Pair factors of 708 are the pairs of numbers that when multiplied give the product 708. The factors of 708 in pairs are:
- 1 × 708 = (1, 708)
- 2 × 354 = (2, 354)
- 3 × 236 = (3, 236)
- 4 × 177 = (4, 177)
- 6 × 118 = (6, 118)
- 12 × 59 = (12, 59)
Negative pair factors of 708 are:
- -1 × -708 = (-1, -708)
- -2 × -354 = (-2, -354)
- -3 × -236 = (-3, -236)
- -4 × -177 = (-4, -177)
- -6 × -118 = (-6, -118)
- -12 × -59 = (-12, -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 708 Solved Examples
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Example 1: How many factors are there for 708?
Solution:
The factors of 708 are too many, therefore if we can find the prime factorization of 708, 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 708 = 22 × 31 × 591
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 708 and 537.
Solution:
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708 and factors of 537 are 1, 3, 179, 537.
Therefore, the Least Common Multiple of 708 and 537 is 126732 and Highest Common Factor (HCF) of 708 and 537 is 3. -
Example 3: Find if 1, 59, 116, 118, 236, 354 and 708 are factors of 708.
Solution:
When we divide 708 by 116 it leaves a remainder. Therefore, the number 116 is not a factor of 708. All numbers except 116 are factors of 708.
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Example 4: Find the product of all the prime factors of 708.
Solution:
Since, the prime factors of 708 are 2, 3, 59. Therefore, the product of prime factors = 2 × 3 × 59 = 354.
FAQs on Factors of 708
What are the Factors of 708?
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708 and its negative factors are -1, -2, -3, -4, -6, -12, -59, -118, -177, -236, -354, -708.
What is the Sum of Factors of 708?
Sum of all factors of 708 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (591 + 1 - 1)/(59 - 1) = 1680
What Numbers are the Prime Factors of 708?
The prime factors of 708 are 2, 3, 59.
What is the Greatest Common Factor of 708 and 343?
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708 and the factors of 343 are 1, 7, 49, 343. 708 and 343 have only one common factor which is 1. This implies that 708 and 343 are co-prime.
Hence, the Greatest Common Factor (GCF) of 708 and 343 is 1.
How Many Factors of 270 are also common to the Factors of 708?
Since, the factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708 and the factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.
Hence, [1, 2, 3, 6] are the common factors of 708 and 270.
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