Factor Calculator

Factors of 699

The factors of 699 are 1, 3, 233, and 699. In total, 699 has 4 factors. Its prime factorization is 3 × 233, and the sum of all its factors is 936.

All factors of 699

Here are all 4 factors of 699, listed from smallest to largest.

13233699

Factor pairs of 699

These 2 pairs of whole numbers each multiply to give 699.

1 × 699 = 699
3 × 233 = 699

Prime factorization of 699

Dividing 699 by the smallest prime at each step gives its prime factorization:

699 ÷ 3 = 233
233 ÷ 233 = 1
Result: 699 = 3 × 233 = 3 × 233

The distinct prime factors of 699 are 3, 233. To factorize any other number, use the prime factorization calculator.

Factor tree of 699

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

Factor tree of 6996993233
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 699

Number of factors4
Sum of factors936
Sum of proper factors237
Prime factorization3 × 233
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 699 interesting

  • 699 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.
  • 699 is a deficient number: its proper factors sum to 237, which is 462 less than 699 itself.

How to find the factors of 699 yourself

Divide 699 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 √69926.44, because every factor above that pairs with one below it.

699 ÷ 1 = 699
699 ÷ 3 = 233

Reading both columns gives every factor: 1, 3, 233, 699. The factor calculator does this automatically for any number.

Frequently asked questions about 699

What are the factors of 699?

The factors of 699 are 1, 3, 233, and 699. That is 4 factors in total, counting both 1 and 699.

Is 699 a prime number?

No, 699 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 699 is also divisible by 3.

What is the prime factorization of 699?

The prime factorization of 699 is 3 × 233. Written out in full: 3 × 233 = 699. Its distinct prime factors are 3, 233.

What two numbers multiply to give 699?

There are 2 pairs of whole numbers that multiply to 699: 1 × 699, 3 × 233.

What is the sum of the factors of 699?

Adding all the factors of 699 together gives 936. Excluding 699 itself, the proper factors sum to 237.

Is 699 a perfect square?

No, 699 is not a perfect square. There is no whole number that multiplies by itself to give 699. The nearest perfect squares are 676 and 729.

What is the largest factor of 699 other than itself?

The largest factor of 699 apart from 699 itself is 233, since 699 ÷ 233 = 3.

How many factors does 699 have?

699 has 4 factors: 1, 3, 233, and 699. You can verify this from the prime factorization 3 × 233: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 699 down further with the prime factorization calculator, or compare 699 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.