Factor Calculator

Factors of 897

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, and 897. In total, 897 has 8 factors. Its prime factorization is 3 × 13 × 23, and the sum of all its factors is 1344.

All factors of 897

Here are all 8 factors of 897, listed from smallest to largest.

1313233969299897

Factor pairs of 897

These 4 pairs of whole numbers each multiply to give 897.

1 × 897 = 897
3 × 299 = 897
13 × 69 = 897
23 × 39 = 897

Prime factorization of 897

Dividing 897 by the smallest prime at each step gives its prime factorization:

897 ÷ 3 = 299
299 ÷ 13 = 23
23 ÷ 23 = 1
Result: 897 = 3 × 13 × 23 = 3 × 13 × 23

The distinct prime factors of 897 are 3, 13, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 897

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

Factor tree of 89789732991323
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 897

Number of factors8
Sum of factors1344
Sum of proper factors447
Prime factorization3 × 13 × 23
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 897 interesting

  • 897 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 897 is a deficient number: its proper factors sum to 447, which is 450 less than 897 itself.
  • 897 has 3 distinct prime factors (3, 13, 23), which is why it has so many divisors.

How to find the factors of 897 yourself

Divide 897 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 √897 ≈ 29.95, because every factor above that pairs with one below it.

897 ÷ 1 = 897 ✓
897 ÷ 3 = 299 ✓
897 ÷ 13 = 69 ✓
897 ÷ 23 = 39 ✓

Reading both columns gives every factor: 1, 3, 13, 23, 39, 69, 299, 897. The factor calculator does this automatically for any number.

Numbers mathematically connected to 897.

Frequently asked questions about 897

What are the factors of 897?

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, and 897. That is 8 factors in total, counting both 1 and 897.

Is 897 a prime number?

No, 897 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 897 is also divisible by 3.

What is the prime factorization of 897?

The prime factorization of 897 is 3 × 13 × 23. Written out in full: 3 × 13 × 23 = 897. Its distinct prime factors are 3, 13, 23.

What two numbers multiply to give 897?

There are 4 pairs of whole numbers that multiply to 897: 1 × 897, 3 × 299, 13 × 69, 23 × 39.

What is the sum of the factors of 897?

Adding all the factors of 897 together gives 1344. Excluding 897 itself, the proper factors sum to 447.

Is 897 a perfect square?

No, 897 is not a perfect square. There is no whole number that multiplies by itself to give 897. The nearest perfect squares are 841 and 900.

What is the largest factor of 897 other than itself?

The largest factor of 897 apart from 897 itself is 299, since 897 ÷ 299 = 3.

How many factors does 897 have?

897 has 8 factors: 1, 3, 13, 23, 39, 69, 299, and 897. You can verify this from the prime factorization 3 × 13 × 23: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 897 down further with the prime factorization calculator, or compare 897 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.