Factor Calculator

Factors of 133

The factors of 133 are 1, 7, 19, and 133. In total, 133 has 4 factors. Its prime factorization is 7 × 19, and the sum of all its factors is 160.

All factors of 133

Here are all 4 factors of 133, listed from smallest to largest.

1719133

Factor pairs of 133

These 2 pairs of whole numbers each multiply to give 133.

1 × 133 = 133
7 × 19 = 133

Prime factorization of 133

Dividing 133 by the smallest prime at each step gives its prime factorization:

133 ÷ 7 = 19
19 ÷ 19 = 1
Result: 133 = 7 × 19 = 7 × 19

The distinct prime factors of 133 are 7, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 133

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

Factor tree of 133133719
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 133

Number of factors4
Sum of factors160
Sum of proper factors27
Prime factorization7 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 133 interesting

  • 133 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.
  • 133 is a deficient number: its proper factors sum to 27, which is 106 less than 133 itself.

How to find the factors of 133 yourself

Divide 133 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 √13311.53, because every factor above that pairs with one below it.

133 ÷ 1 = 133
133 ÷ 7 = 19

Reading both columns gives every factor: 1, 7, 19, 133. The factor calculator does this automatically for any number.

Frequently asked questions about 133

What are the factors of 133?

The factors of 133 are 1, 7, 19, and 133. That is 4 factors in total, counting both 1 and 133.

Is 133 a prime number?

No, 133 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 133 is also divisible by 7.

What is the prime factorization of 133?

The prime factorization of 133 is 7 × 19. Written out in full: 7 × 19 = 133. Its distinct prime factors are 7, 19.

What two numbers multiply to give 133?

There are 2 pairs of whole numbers that multiply to 133: 1 × 133, 7 × 19.

What is the sum of the factors of 133?

Adding all the factors of 133 together gives 160. Excluding 133 itself, the proper factors sum to 27.

Is 133 a perfect square?

No, 133 is not a perfect square. There is no whole number that multiplies by itself to give 133. The nearest perfect squares are 121 and 144.

What is the largest factor of 133 other than itself?

The largest factor of 133 apart from 133 itself is 19, since 133 ÷ 19 = 7.

How many factors does 133 have?

133 has 4 factors: 1, 7, 19, and 133. You can verify this from the prime factorization 7 × 19: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 133 down further with the prime factorization calculator, or compare 133 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.