Factor Calculator

Factors of 890

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, and 890. In total, 890 has 8 factors. Its prime factorization is 2 × 5 × 89, and the sum of all its factors is 1620.

All factors of 890

Here are all 8 factors of 890, listed from smallest to largest.

1251089178445890

Factor pairs of 890

These 4 pairs of whole numbers each multiply to give 890.

1 × 890 = 890
2 × 445 = 890
5 × 178 = 890
10 × 89 = 890

Prime factorization of 890

Dividing 890 by the smallest prime at each step gives its prime factorization:

890 ÷ 2 = 445
445 ÷ 5 = 89
89 ÷ 89 = 1
Result: 890 = 2 × 5 × 89 = 2 × 5 × 89

The distinct prime factors of 890 are 2, 5, 89. To factorize any other number, use the prime factorization calculator.

Factor tree of 890

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

Factor tree of 8908902445589
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 890

Number of factors8
Sum of factors1620
Sum of proper factors730
Prime factorization2 × 5 × 89
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 890 interesting

  • 890 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.
  • 890 is a deficient number: its proper factors sum to 730, which is 160 less than 890 itself.
  • 890 has 3 distinct prime factors (2, 5, 89), which is why it has so many divisors.

How to find the factors of 890 yourself

Divide 890 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 √89029.83, because every factor above that pairs with one below it.

890 ÷ 1 = 890
890 ÷ 2 = 445
890 ÷ 5 = 178
890 ÷ 10 = 89

Reading both columns gives every factor: 1, 2, 5, 10, 89, 178, 445, 890. The factor calculator does this automatically for any number.

Frequently asked questions about 890

What are the factors of 890?

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, and 890. That is 8 factors in total, counting both 1 and 890.

Is 890 a prime number?

No, 890 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 890 is also divisible by 2.

What is the prime factorization of 890?

The prime factorization of 890 is 2 × 5 × 89. Written out in full: 2 × 5 × 89 = 890. Its distinct prime factors are 2, 5, 89.

What two numbers multiply to give 890?

There are 4 pairs of whole numbers that multiply to 890: 1 × 890, 2 × 445, 5 × 178, 10 × 89.

What is the sum of the factors of 890?

Adding all the factors of 890 together gives 1620. Excluding 890 itself, the proper factors sum to 730.

Is 890 a perfect square?

No, 890 is not a perfect square. There is no whole number that multiplies by itself to give 890. The nearest perfect squares are 841 and 900.

What is the largest factor of 890 other than itself?

The largest factor of 890 apart from 890 itself is 445, since 890 ÷ 445 = 2.

How many factors does 890 have?

890 has 8 factors: 1, 2, 5, 10, 89, 178, 445, and 890. You can verify this from the prime factorization 2 × 5 × 89: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 890 down further with the prime factorization calculator, or compare 890 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.