Factor Calculator

Factors of 267

The factors of 267 are 1, 3, 89, and 267. In total, 267 has 4 factors. Its prime factorization is 3 × 89, and the sum of all its factors is 360.

All factors of 267

Here are all 4 factors of 267, listed from smallest to largest.

1389267

Factor pairs of 267

These 2 pairs of whole numbers each multiply to give 267.

1 × 267 = 267
3 × 89 = 267

Prime factorization of 267

Dividing 267 by the smallest prime at each step gives its prime factorization:

267 ÷ 3 = 89
89 ÷ 89 = 1
Result: 267 = 3 × 89 = 3 × 89

The distinct prime factors of 267 are 3, 89. To factorize any other number, use the prime factorization calculator.

Factor tree of 267

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

Factor tree of 267267389
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 267

Number of factors4
Sum of factors360
Sum of proper factors93
Prime factorization3 × 89
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 267 interesting

  • 267 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.
  • 267 is a deficient number: its proper factors sum to 93, which is 174 less than 267 itself.

How to find the factors of 267 yourself

Divide 267 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 √267 ≈ 16.34, because every factor above that pairs with one below it.

267 ÷ 1 = 267 ✓
267 ÷ 3 = 89 ✓

Reading both columns gives every factor: 1, 3, 89, 267. The factor calculator does this automatically for any number.

Numbers mathematically connected to 267.

Frequently asked questions about 267

What are the factors of 267?

The factors of 267 are 1, 3, 89, and 267. That is 4 factors in total, counting both 1 and 267.

Is 267 a prime number?

No, 267 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 267 is also divisible by 3.

What is the prime factorization of 267?

The prime factorization of 267 is 3 × 89. Written out in full: 3 × 89 = 267. Its distinct prime factors are 3, 89.

What two numbers multiply to give 267?

There are 2 pairs of whole numbers that multiply to 267: 1 × 267, 3 × 89.

What is the sum of the factors of 267?

Adding all the factors of 267 together gives 360. Excluding 267 itself, the proper factors sum to 93.

Is 267 a perfect square?

No, 267 is not a perfect square. There is no whole number that multiplies by itself to give 267. The nearest perfect squares are 256 and 289.

What is the largest factor of 267 other than itself?

The largest factor of 267 apart from 267 itself is 89, since 267 ÷ 89 = 3.

How many factors does 267 have?

267 has 4 factors: 1, 3, 89, and 267. You can verify this from the prime factorization 3 × 89: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 267 down further with the prime factorization calculator, or compare 267 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.