Factor Calculator

Factors of 802

The factors of 802 are 1, 2, 401, and 802. In total, 802 has 4 factors. Its prime factorization is 2 × 401, and the sum of all its factors is 1206.

All factors of 802

Here are all 4 factors of 802, listed from smallest to largest.

12401802

Factor pairs of 802

These 2 pairs of whole numbers each multiply to give 802.

1 × 802 = 802
2 × 401 = 802

Prime factorization of 802

Dividing 802 by the smallest prime at each step gives its prime factorization:

802 ÷ 2 = 401
401 ÷ 401 = 1
Result: 802 = 2 × 401 = 2 × 401

The distinct prime factors of 802 are 2, 401. To factorize any other number, use the prime factorization calculator.

Factor tree of 802

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

Factor tree of 8028022401
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 802

Number of factors4
Sum of factors1206
Sum of proper factors404
Prime factorization2 × 401
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 802 interesting

  • 802 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.
  • 802 is a deficient number: its proper factors sum to 404, which is 398 less than 802 itself.

How to find the factors of 802 yourself

Divide 802 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 √802 ≈ 28.32, because every factor above that pairs with one below it.

802 ÷ 1 = 802 ✓
802 ÷ 2 = 401 ✓

Reading both columns gives every factor: 1, 2, 401, 802. The factor calculator does this automatically for any number.

Numbers mathematically connected to 802.

Frequently asked questions about 802

What are the factors of 802?

The factors of 802 are 1, 2, 401, and 802. That is 4 factors in total, counting both 1 and 802.

Is 802 a prime number?

No, 802 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 802 is also divisible by 2.

What is the prime factorization of 802?

The prime factorization of 802 is 2 × 401. Written out in full: 2 × 401 = 802. Its distinct prime factors are 2, 401.

What two numbers multiply to give 802?

There are 2 pairs of whole numbers that multiply to 802: 1 × 802, 2 × 401.

What is the sum of the factors of 802?

Adding all the factors of 802 together gives 1206. Excluding 802 itself, the proper factors sum to 404.

Is 802 a perfect square?

No, 802 is not a perfect square. There is no whole number that multiplies by itself to give 802. The nearest perfect squares are 784 and 841.

What is the largest factor of 802 other than itself?

The largest factor of 802 apart from 802 itself is 401, since 802 ÷ 401 = 2.

How many factors does 802 have?

802 has 4 factors: 1, 2, 401, and 802. You can verify this from the prime factorization 2 × 401: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 802 down further with the prime factorization calculator, or compare 802 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.