Factor Calculator

Factors of 369

The factors of 369 are 1, 3, 9, 41, 123, and 369. In total, 369 has 6 factors. Its prime factorization is 3² × 41, and the sum of all its factors is 546.

All factors of 369

Here are all 6 factors of 369, listed from smallest to largest.

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Factor pairs of 369

These 3 pairs of whole numbers each multiply to give 369.

1 × 369 = 369
3 × 123 = 369
9 × 41 = 369

Prime factorization of 369

Dividing 369 by the smallest prime at each step gives its prime factorization:

369 ÷ 3 = 123
123 ÷ 3 = 41
41 ÷ 41 = 1
Result: 369 = 3 × 3 × 41 = 3² × 41

The distinct prime factors of 369 are 3, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 369

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

Factor tree of 3693693123341
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 369

Number of factors6
Sum of factors546
Sum of proper factors177
Prime factorization3² × 41
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 369 interesting

  • 369 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 369 is a deficient number: its proper factors sum to 177, which is 192 less than 369 itself.

How to find the factors of 369 yourself

Divide 369 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 √369 ≈ 19.21, because every factor above that pairs with one below it.

369 ÷ 1 = 369 ✓
369 ÷ 3 = 123 ✓
369 ÷ 9 = 41 ✓

Reading both columns gives every factor: 1, 3, 9, 41, 123, 369. The factor calculator does this automatically for any number.

Numbers mathematically connected to 369.

Frequently asked questions about 369

What are the factors of 369?

The factors of 369 are 1, 3, 9, 41, 123, and 369. That is 6 factors in total, counting both 1 and 369.

Is 369 a prime number?

No, 369 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 369 is also divisible by 3.

What is the prime factorization of 369?

The prime factorization of 369 is 3² × 41. Written out in full: 3 × 3 × 41 = 369. Its distinct prime factors are 3, 41.

What two numbers multiply to give 369?

There are 3 pairs of whole numbers that multiply to 369: 1 × 369, 3 × 123, 9 × 41.

What is the sum of the factors of 369?

Adding all the factors of 369 together gives 546. Excluding 369 itself, the proper factors sum to 177.

Is 369 a perfect square?

No, 369 is not a perfect square. There is no whole number that multiplies by itself to give 369. The nearest perfect squares are 361 and 400.

What is the largest factor of 369 other than itself?

The largest factor of 369 apart from 369 itself is 123, since 369 ÷ 123 = 3.

How many factors does 369 have?

369 has 6 factors: 1, 3, 9, 41, 123, and 369. You can verify this from the prime factorization 3² × 41: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 369 down further with the prime factorization calculator, or compare 369 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.