Factor Calculator

Factors of 845

The factors of 845 are 1, 5, 13, 65, 169, and 845. In total, 845 has 6 factors. Its prime factorization is 5 × 13², and the sum of all its factors is 1098.

All factors of 845

Here are all 6 factors of 845, listed from smallest to largest.

151365169845

Factor pairs of 845

These 3 pairs of whole numbers each multiply to give 845.

1 × 845 = 845
5 × 169 = 845
13 × 65 = 845

Prime factorization of 845

Dividing 845 by the smallest prime at each step gives its prime factorization:

845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
Result: 845 = 5 × 13 × 13 = 5 × 13²

The distinct prime factors of 845 are 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 845

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

Factor tree of 84584551691313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 845

Number of factors6
Sum of factors1098
Sum of proper factors253
Prime factorization5 × 13²
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 845 interesting

  • 845 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.
  • 845 is a deficient number: its proper factors sum to 253, which is 592 less than 845 itself.

How to find the factors of 845 yourself

Divide 845 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 √845 ≈ 29.07, because every factor above that pairs with one below it.

845 ÷ 1 = 845 ✓
845 ÷ 5 = 169 ✓
845 ÷ 13 = 65 ✓

Reading both columns gives every factor: 1, 5, 13, 65, 169, 845. The factor calculator does this automatically for any number.

Numbers mathematically connected to 845.

Frequently asked questions about 845

What are the factors of 845?

The factors of 845 are 1, 5, 13, 65, 169, and 845. That is 6 factors in total, counting both 1 and 845.

Is 845 a prime number?

No, 845 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 845 is also divisible by 5.

What is the prime factorization of 845?

The prime factorization of 845 is 5 × 13². Written out in full: 5 × 13 × 13 = 845. Its distinct prime factors are 5, 13.

What two numbers multiply to give 845?

There are 3 pairs of whole numbers that multiply to 845: 1 × 845, 5 × 169, 13 × 65.

What is the sum of the factors of 845?

Adding all the factors of 845 together gives 1098. Excluding 845 itself, the proper factors sum to 253.

Is 845 a perfect square?

No, 845 is not a perfect square. There is no whole number that multiplies by itself to give 845. The nearest perfect squares are 841 and 900.

What is the largest factor of 845 other than itself?

The largest factor of 845 apart from 845 itself is 169, since 845 ÷ 169 = 5.

How many factors does 845 have?

845 has 6 factors: 1, 5, 13, 65, 169, and 845. You can verify this from the prime factorization 5 × 13²: add 1 to each exponent and multiply, giving 2 × 3 = 6.

Explore more

Try another number in the factor calculator, break 845 down further with the prime factorization calculator, or compare 845 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.