Factors of 715
Factors of 715 are integers that can be divided evenly into 715. There are total 8 factors of 715 i.e. 1, 5, 11, 13, 55, 65, 143, 715. The Prime Factors of 715 are 5 × 11 × 13 and its Factors in Pairs are (1, 715), (5, 143), (11, 65), (13, 55).
- All Factors of 715: 1, 5, 11, 13, 55, 65, 143 and 715
- Negative Factors of 715: -1, -5, -11, -13, -55, -65, -143 and -715
- Prime Factors of 715: 5, 11, 13
- Prime Factorization of 715: 51 × 111 × 131
- Sum of Factors of 715: 1008
1. | What Are the Factors of 715? |
2. | Factors of 715 by Prime Factorization |
3. | Factors of 715 in Pairs |
4. | FAQs on Factors of 715 |

What are Factors of 715?
Factors of 715 are pairs of those numbers whose products result in 715. These factors are either prime numbers or composite numbers.
How to Find the Factors of 715?
To find the factors of 715, we will have to find the list of numbers that would divide 715 without leaving any remainder.
- 715/65 = 11; therefore, 65 is a factor of 715 and 11 is also a factor of 715.
- 715/13 = 55; therefore, 13 is a factor of 715 and 55 is also a factor of 715.
☛ Also Check:
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 41 - The factors of 41 are 1, 41
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 7 - The factors of 7 are 1, 7
Factors of 715 by Prime Factorization
- 715 ÷ 5 = 143
Further dividing 143 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 143 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 715 can be written as 51 × 111 × 131 where 5, 11, 13 are prime.
Factors of 715 in Pairs
Pair factors of 715 are the pairs of numbers that when multiplied give the product 715. The factors of 715 in pairs are:
- 1 × 715 = (1, 715)
- 5 × 143 = (5, 143)
- 11 × 65 = (11, 65)
- 13 × 55 = (13, 55)
Negative pair factors of 715 are:
- -1 × -715 = (-1, -715)
- -5 × -143 = (-5, -143)
- -11 × -65 = (-11, -65)
- -13 × -55 = (-13, -55)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 715 Solved Examples
-
Example 1: How many factors are there for 715?
Solution:
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. Therefore, 715 has 8 factors.
-
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 715 and 467.
Solution:
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715 and factors of 467 are 1, 467.
Therefore, the Lowest Common Multiple (LCM) of 715 and 467 is 333905 and Greatest Common Divisor (GCD) of 715 and 467 is 1. -
Example 3: Find if 11, 55, 143, 180 and 715 are factors of 715.
Solution:
When we divide 715 by 180 it leaves a remainder. Therefore, the number 180 is not a factor of 715. All numbers except 180 are factors of 715.
-
Example 4: Find the product of all the prime factors of 715.
Solution:
Since, the prime factors of 715 are 5, 11, 13. Therefore, the product of prime factors = 5 × 11 × 13 = 715.
FAQs on Factors of 715
What are the Factors of 715?
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715 and its negative factors are -1, -5, -11, -13, -55, -65, -143, -715.
What is the Sum of all the Factors of 715?
Sum of all factors of 715 = (51 + 1 - 1)/(5 - 1) × (111 + 1 - 1)/(11 - 1) × (131 + 1 - 1)/(13 - 1) = 1008
What are the Pair Factors of 715?
The pair factors of 715 are (1, 715), (5, 143), (11, 65), (13, 55).
What is the Greatest Common Factor of 715 and 38?
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715 and the factors of 38 are 1, 2, 19, 38. 715 and 38 have only one common factor which is 1. This implies that 715 and 38 are co-prime.
Hence, the Greatest Common Factor (GCF) of 715 and 38 is 1.
What are the Common Factors of 715 and 610?
Since, the factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715 and the factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610.
Hence, [1, 5] are the common factors of 715 and 610.
visual curriculum