Factor Calculator

Factors of 536

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, and 536. In total, 536 has 8 factors. Its prime factorization is 2³ × 67, and the sum of all its factors is 1020.

All factors of 536

Here are all 8 factors of 536, listed from smallest to largest.

124867134268536

Factor pairs of 536

These 4 pairs of whole numbers each multiply to give 536.

1 × 536 = 536
2 × 268 = 536
4 × 134 = 536
8 × 67 = 536

Prime factorization of 536

Dividing 536 by the smallest prime at each step gives its prime factorization:

536 ÷ 2 = 268
268 ÷ 2 = 134
134 ÷ 2 = 67
67 ÷ 67 = 1
Result: 536 = 2 × 2 × 2 × 67 = 2³ × 67

The distinct prime factors of 536 are 2, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 536

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

Factor tree of 53653622682134267
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 536

Number of factors8
Sum of factors1020
Sum of proper factors484
Prime factorization2³ × 67
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 536 interesting

  • 536 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.
  • 536 is a deficient number: its proper factors sum to 484, which is 52 less than 536 itself.

How to find the factors of 536 yourself

Divide 536 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 √53623.15, because every factor above that pairs with one below it.

536 ÷ 1 = 536
536 ÷ 2 = 268
536 ÷ 4 = 134
536 ÷ 8 = 67

Reading both columns gives every factor: 1, 2, 4, 8, 67, 134, 268, 536. The factor calculator does this automatically for any number.

Frequently asked questions about 536

What are the factors of 536?

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, and 536. That is 8 factors in total, counting both 1 and 536.

Is 536 a prime number?

No, 536 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 536 is also divisible by 2.

What is the prime factorization of 536?

The prime factorization of 536 is 2³ × 67. Written out in full: 2 × 2 × 2 × 67 = 536. Its distinct prime factors are 2, 67.

What two numbers multiply to give 536?

There are 4 pairs of whole numbers that multiply to 536: 1 × 536, 2 × 268, 4 × 134, 8 × 67.

What is the sum of the factors of 536?

Adding all the factors of 536 together gives 1020. Excluding 536 itself, the proper factors sum to 484.

Is 536 a perfect square?

No, 536 is not a perfect square. There is no whole number that multiplies by itself to give 536. The nearest perfect squares are 529 and 576.

What is the largest factor of 536 other than itself?

The largest factor of 536 apart from 536 itself is 268, since 536 ÷ 268 = 2.

How many factors does 536 have?

536 has 8 factors: 1, 2, 4, 8, 67, 134, 268, and 536. You can verify this from the prime factorization 2³ × 67: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 536 down further with the prime factorization calculator, or compare 536 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.