Factor Calculator

Factors of 685

The factors of 685 are 1, 5, 137, and 685. In total, 685 has 4 factors. Its prime factorization is 5 × 137, and the sum of all its factors is 828.

All factors of 685

Here are all 4 factors of 685, listed from smallest to largest.

15137685

Factor pairs of 685

These 2 pairs of whole numbers each multiply to give 685.

1 × 685 = 685
5 × 137 = 685

Prime factorization of 685

Dividing 685 by the smallest prime at each step gives its prime factorization:

685 ÷ 5 = 137
137 ÷ 137 = 1
Result: 685 = 5 × 137 = 5 × 137

The distinct prime factors of 685 are 5, 137. To factorize any other number, use the prime factorization calculator.

Factor tree of 685

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 6856855137
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 685

Number of factors4
Sum of factors828
Sum of proper factors143
Prime factorization5 × 137
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 685 interesting

  • 685 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.
  • 685 is a deficient number: its proper factors sum to 143, which is 542 less than 685 itself.

How to find the factors of 685 yourself

Divide 685 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 √68526.17, because every factor above that pairs with one below it.

685 ÷ 1 = 685
685 ÷ 5 = 137

Reading both columns gives every factor: 1, 5, 137, 685. The factor calculator does this automatically for any number.

Frequently asked questions about 685

What are the factors of 685?

The factors of 685 are 1, 5, 137, and 685. That is 4 factors in total, counting both 1 and 685.

Is 685 a prime number?

No, 685 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 685 is also divisible by 5.

What is the prime factorization of 685?

The prime factorization of 685 is 5 × 137. Written out in full: 5 × 137 = 685. Its distinct prime factors are 5, 137.

What two numbers multiply to give 685?

There are 2 pairs of whole numbers that multiply to 685: 1 × 685, 5 × 137.

What is the sum of the factors of 685?

Adding all the factors of 685 together gives 828. Excluding 685 itself, the proper factors sum to 143.

Is 685 a perfect square?

No, 685 is not a perfect square. There is no whole number that multiplies by itself to give 685. The nearest perfect squares are 676 and 729.

What is the largest factor of 685 other than itself?

The largest factor of 685 apart from 685 itself is 137, since 685 ÷ 137 = 5.

How many factors does 685 have?

685 has 4 factors: 1, 5, 137, and 685. You can verify this from the prime factorization 5 × 137: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 685 down further with the prime factorization calculator, or compare 685 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.