Factor Calculator

Factors of 299

The factors of 299 are 1, 13, 23, and 299. In total, 299 has 4 factors. Its prime factorization is 13 × 23, and the sum of all its factors is 336.

All factors of 299

Here are all 4 factors of 299, listed from smallest to largest.

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Factor pairs of 299

These 2 pairs of whole numbers each multiply to give 299.

1 × 299 = 299
13 × 23 = 299

Prime factorization of 299

Dividing 299 by the smallest prime at each step gives its prime factorization:

299 ÷ 13 = 23
23 ÷ 23 = 1
Result: 299 = 13 × 23 = 13 × 23

The distinct prime factors of 299 are 13, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 299

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

Factor tree of 2992991323
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 299

Number of factors4
Sum of factors336
Sum of proper factors37
Prime factorization13 × 23
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 299 interesting

  • 299 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.
  • 299 is a deficient number: its proper factors sum to 37, which is 262 less than 299 itself.

How to find the factors of 299 yourself

Divide 299 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 √299 ≈ 17.29, because every factor above that pairs with one below it.

299 ÷ 1 = 299 ✓
299 ÷ 13 = 23 ✓

Reading both columns gives every factor: 1, 13, 23, 299. The factor calculator does this automatically for any number.

Numbers mathematically connected to 299.

Frequently asked questions about 299

What are the factors of 299?

The factors of 299 are 1, 13, 23, and 299. That is 4 factors in total, counting both 1 and 299.

Is 299 a prime number?

No, 299 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 299 is also divisible by 13.

What is the prime factorization of 299?

The prime factorization of 299 is 13 × 23. Written out in full: 13 × 23 = 299. Its distinct prime factors are 13, 23.

What two numbers multiply to give 299?

There are 2 pairs of whole numbers that multiply to 299: 1 × 299, 13 × 23.

What is the sum of the factors of 299?

Adding all the factors of 299 together gives 336. Excluding 299 itself, the proper factors sum to 37.

Is 299 a perfect square?

No, 299 is not a perfect square. There is no whole number that multiplies by itself to give 299. The nearest perfect squares are 289 and 324.

What is the largest factor of 299 other than itself?

The largest factor of 299 apart from 299 itself is 23, since 299 ÷ 23 = 13.

How many factors does 299 have?

299 has 4 factors: 1, 13, 23, and 299. You can verify this from the prime factorization 13 × 23: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 299 down further with the prime factorization calculator, or compare 299 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.