Factor Calculator

Factors of 650

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, and 650. In total, 650 has 12 factors. Its prime factorization is 2 × 5² × 13, and the sum of all its factors is 1302.

All factors of 650

Here are all 12 factors of 650, listed from smallest to largest.

125101325265065130325650

Factor pairs of 650

These 6 pairs of whole numbers each multiply to give 650.

1 × 650 = 650
2 × 325 = 650
5 × 130 = 650
10 × 65 = 650
13 × 50 = 650
25 × 26 = 650

Prime factorization of 650

Dividing 650 by the smallest prime at each step gives its prime factorization:

650 ÷ 2 = 325
325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 650 = 2 × 5 × 5 × 13 = 2 × 5² × 13

The distinct prime factors of 650 are 2, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 650

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

Factor tree of 6506502325565513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 650

Number of factors12
Sum of factors1302
Sum of proper factors652
Prime factorization2 × 5² × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 650 interesting

  • 650 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 650 is an abundant number: its proper factors sum to 652, which is 2 more than 650 itself.
  • 650 has 3 distinct prime factors (2, 5, 13), which is why it has so many divisors.

How to find the factors of 650 yourself

Divide 650 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 √650 ≈ 25.50, because every factor above that pairs with one below it.

650 ÷ 1 = 650 ✓
650 ÷ 2 = 325 ✓
650 ÷ 5 = 130 ✓
650 ÷ 10 = 65 ✓
650 ÷ 13 = 50 ✓
650 ÷ 25 = 26 ✓

Reading both columns gives every factor: 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. The factor calculator does this automatically for any number.

Numbers mathematically connected to 650.

Frequently asked questions about 650

What are the factors of 650?

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, and 650. That is 12 factors in total, counting both 1 and 650.

Is 650 a prime number?

No, 650 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 650 is also divisible by 2.

What is the prime factorization of 650?

The prime factorization of 650 is 2 × 5² × 13. Written out in full: 2 × 5 × 5 × 13 = 650. Its distinct prime factors are 2, 5, 13.

What two numbers multiply to give 650?

There are 6 pairs of whole numbers that multiply to 650: 1 × 650, 2 × 325, 5 × 130, 10 × 65, 13 × 50, 25 × 26.

What is the sum of the factors of 650?

Adding all the factors of 650 together gives 1302. Excluding 650 itself, the proper factors sum to 652.

Is 650 a perfect square?

No, 650 is not a perfect square. There is no whole number that multiplies by itself to give 650. The nearest perfect squares are 625 and 676.

What is the largest factor of 650 other than itself?

The largest factor of 650 apart from 650 itself is 325, since 650 ÷ 325 = 2.

How many factors does 650 have?

650 has 12 factors: 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, and 650. You can verify this from the prime factorization 2 × 5² × 13: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 650 down further with the prime factorization calculator, or compare 650 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.