Factors of 707
The factors of 707 are 1, 7, 101, and 707. In total, 707 has 4 factors. Its prime factorization is 7 × 101, and the sum of all its factors is 816.
All factors of 707
Here are all 4 factors of 707, listed from smallest to largest.
Factor pairs of 707
These 2 pairs of whole numbers each multiply to give 707.
Prime factorization of 707
Dividing 707 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 707 are 7, 101. To factorize any other number, use the prime factorization calculator.
Factor tree of 707
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 707
| Number of factors | 4 |
|---|---|
| Sum of factors | 816 |
| Sum of proper factors | 109 |
| Prime factorization | 7 × 101 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 707 interesting
- 707 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 707 is a deficient number: its proper factors sum to 109, which is 598 less than 707 itself.
How to find the factors of 707 yourself
Divide 707 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √707 ≈ 26.59, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 101, 707. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 707.
Frequently asked questions about 707
What are the factors of 707?
Is 707 a prime number?
What is the prime factorization of 707?
What two numbers multiply to give 707?
What is the sum of the factors of 707?
Is 707 a perfect square?
What is the largest factor of 707 other than itself?
How many factors does 707 have?
Explore more
Try another number in the factor calculator, break 707 down further with the prime factorization calculator, or compare 707 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.