Factor Calculator

Factors of 690

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, and 690. In total, 690 has 16 factors. Its prime factorization is 2 × 3 × 5 × 23, and the sum of all its factors is 1728.

All factors of 690

Here are all 16 factors of 690, listed from smallest to largest.

12356101523304669115138230345690

Factor pairs of 690

These 8 pairs of whole numbers each multiply to give 690.

1 × 690 = 690
2 × 345 = 690
3 × 230 = 690
5 × 138 = 690
6 × 115 = 690
10 × 69 = 690
15 × 46 = 690
23 × 30 = 690

Prime factorization of 690

Dividing 690 by the smallest prime at each step gives its prime factorization:

690 ÷ 2 = 345
345 ÷ 3 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1
Result: 690 = 2 × 3 × 5 × 23 = 2 × 3 × 5 × 23

The distinct prime factors of 690 are 2, 3, 5, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 690

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

Factor tree of 69069023453115523
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 690

Number of factors16
Sum of factors1728
Sum of proper factors1038
Prime factorization2 × 3 × 5 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 690 interesting

  • 690 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 690 is an abundant number: its proper factors sum to 1038, which is 348 more than 690 itself.
  • 690 has 4 distinct prime factors (2, 3, 5, 23), which is why it has so many divisors.

How to find the factors of 690 yourself

Divide 690 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 √690 ≈ 26.27, because every factor above that pairs with one below it.

690 ÷ 1 = 690 ✓
690 ÷ 2 = 345 ✓
690 ÷ 3 = 230 ✓
690 ÷ 5 = 138 ✓
690 ÷ 6 = 115 ✓
690 ÷ 10 = 69 ✓
690 ÷ 15 = 46 ✓
690 ÷ 23 = 30 ✓

Reading both columns gives every factor: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. The factor calculator does this automatically for any number.

Numbers mathematically connected to 690.

Frequently asked questions about 690

What are the factors of 690?

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, and 690. That is 16 factors in total, counting both 1 and 690.

Is 690 a prime number?

No, 690 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 690 is also divisible by 2.

What is the prime factorization of 690?

The prime factorization of 690 is 2 × 3 × 5 × 23. Written out in full: 2 × 3 × 5 × 23 = 690. Its distinct prime factors are 2, 3, 5, 23.

What two numbers multiply to give 690?

There are 8 pairs of whole numbers that multiply to 690: 1 × 690, 2 × 345, 3 × 230, 5 × 138, 6 × 115, 10 × 69, 15 × 46, 23 × 30.

What is the sum of the factors of 690?

Adding all the factors of 690 together gives 1728. Excluding 690 itself, the proper factors sum to 1038.

Is 690 a perfect square?

No, 690 is not a perfect square. There is no whole number that multiplies by itself to give 690. The nearest perfect squares are 676 and 729.

What is the largest factor of 690 other than itself?

The largest factor of 690 apart from 690 itself is 345, since 690 ÷ 345 = 2.

How many factors does 690 have?

690 has 16 factors: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, and 690. You can verify this from the prime factorization 2 × 3 × 5 × 23: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 690 down further with the prime factorization calculator, or compare 690 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.