Factor Calculator

Factors of 262

The factors of 262 are 1, 2, 131, and 262. In total, 262 has 4 factors. Its prime factorization is 2 × 131, and the sum of all its factors is 396.

All factors of 262

Here are all 4 factors of 262, listed from smallest to largest.

12131262

Factor pairs of 262

These 2 pairs of whole numbers each multiply to give 262.

1 × 262 = 262
2 × 131 = 262

Prime factorization of 262

Dividing 262 by the smallest prime at each step gives its prime factorization:

262 ÷ 2 = 131
131 ÷ 131 = 1
Result: 262 = 2 × 131 = 2 × 131

The distinct prime factors of 262 are 2, 131. To factorize any other number, use the prime factorization calculator.

Factor tree of 262

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

Factor tree of 2622622131
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 262

Number of factors4
Sum of factors396
Sum of proper factors134
Prime factorization2 × 131
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 262 interesting

  • 262 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.
  • 262 is a deficient number: its proper factors sum to 134, which is 128 less than 262 itself.

How to find the factors of 262 yourself

Divide 262 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 √262 ≈ 16.19, because every factor above that pairs with one below it.

262 ÷ 1 = 262 ✓
262 ÷ 2 = 131 ✓

Reading both columns gives every factor: 1, 2, 131, 262. The factor calculator does this automatically for any number.

Numbers mathematically connected to 262.

Frequently asked questions about 262

What are the factors of 262?

The factors of 262 are 1, 2, 131, and 262. That is 4 factors in total, counting both 1 and 262.

Is 262 a prime number?

No, 262 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 262 is also divisible by 2.

What is the prime factorization of 262?

The prime factorization of 262 is 2 × 131. Written out in full: 2 × 131 = 262. Its distinct prime factors are 2, 131.

What two numbers multiply to give 262?

There are 2 pairs of whole numbers that multiply to 262: 1 × 262, 2 × 131.

What is the sum of the factors of 262?

Adding all the factors of 262 together gives 396. Excluding 262 itself, the proper factors sum to 134.

Is 262 a perfect square?

No, 262 is not a perfect square. There is no whole number that multiplies by itself to give 262. The nearest perfect squares are 256 and 289.

What is the largest factor of 262 other than itself?

The largest factor of 262 apart from 262 itself is 131, since 262 ÷ 131 = 2.

How many factors does 262 have?

262 has 4 factors: 1, 2, 131, and 262. You can verify this from the prime factorization 2 × 131: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 262 down further with the prime factorization calculator, or compare 262 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.