Factor Calculator

Factors of 169

The factors of 169 are 1, 13, and 169. In total, 169 has 3 factors. Its prime factorization is 13², and the sum of all its factors is 183. 169 is also a perfect square, equal to 13 × 13.

All factors of 169

Here are all 3 factors of 169, listed from smallest to largest.

113169

Factor pairs of 169

These 2 pairs of whole numbers each multiply to give 169.

1 × 169 = 169
13 × 13 = 169

Notice the pair (13, 13) — because 169 is a perfect square, this pair uses the same number twice.

Prime factorization of 169

Dividing 169 by the smallest prime at each step gives its prime factorization:

169 ÷ 13 = 13
13 ÷ 13 = 1
Result: 169 = 13 × 13 = 13²

The distinct prime factors of 169 are 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 169

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

Factor tree of 1691691313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 169

Number of factors3
Sum of factors183
Sum of proper factors14
Prime factorization13²
Prime or composite?Composite
Even or odd?Odd
Perfect square?Yes (13²)
Perfect cube?No
ClassificationDeficient

What makes 169 interesting

  • 169 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.
  • 169 is a perfect square: 13 × 13 = 169. This is why it has an odd number of factors (3) — the pair (13, 13) counts only once.
  • 169 is a deficient number: its proper factors sum to 14, which is 155 less than 169 itself.
  • 169 is a prime power: it is 13 raised to the power of 2. All of its factors are powers of 13.

How to find the factors of 169 yourself

Divide 169 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 √169 ≈ 13.00, because every factor above that pairs with one below it.

169 ÷ 1 = 169 ✓
169 ÷ 13 = 13 ✓

Reading both columns gives every factor: 1, 13, 169. The factor calculator does this automatically for any number.

Numbers mathematically connected to 169.

Frequently asked questions about 169

What are the factors of 169?

The factors of 169 are 1, 13, and 169. That is 3 factors in total, counting both 1 and 169.

Is 169 a prime number?

No, 169 is not prime — it is a composite number with 3 factors. A prime number has exactly two factors, but 169 is also divisible by 13.

What is the prime factorization of 169?

The prime factorization of 169 is 13². Written out in full: 13 × 13 = 169. Its distinct prime factors are 13.

What two numbers multiply to give 169?

There are 2 pairs of whole numbers that multiply to 169: 1 × 169, 13 × 13.

What is the sum of the factors of 169?

Adding all the factors of 169 together gives 183. Excluding 169 itself, the proper factors sum to 14.

Is 169 a perfect square?

Yes, 169 is a perfect square. It equals 13 × 13. Perfect squares always have an odd number of factors — 169 has 3.

What is the largest factor of 169 other than itself?

The largest factor of 169 apart from 169 itself is 13, since 169 ÷ 13 = 13.

How many factors does 169 have?

169 has 3 factors: 1, 13, and 169. You can verify this from the prime factorization 13²: add 1 to each exponent and multiply, giving 3 = 3.

Explore more

Try another number in the factor calculator, break 169 down further with the prime factorization calculator, or compare 169 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.