Factor Calculator

Factors of 119

The factors of 119 are 1, 7, 17, and 119. In total, 119 has 4 factors. Its prime factorization is 7 × 17, and the sum of all its factors is 144.

All factors of 119

Here are all 4 factors of 119, listed from smallest to largest.

1717119

Factor pairs of 119

These 2 pairs of whole numbers each multiply to give 119.

1 × 119 = 119
7 × 17 = 119

Prime factorization of 119

Dividing 119 by the smallest prime at each step gives its prime factorization:

119 ÷ 7 = 17
17 ÷ 17 = 1
Result: 119 = 7 × 17 = 7 × 17

The distinct prime factors of 119 are 7, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 119

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

Factor tree of 119119717
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 119

Number of factors4
Sum of factors144
Sum of proper factors25
Prime factorization7 × 17
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 119 interesting

  • 119 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.
  • 119 is a deficient number: its proper factors sum to 25, which is 94 less than 119 itself.

How to find the factors of 119 yourself

Divide 119 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 √11910.91, because every factor above that pairs with one below it.

119 ÷ 1 = 119
119 ÷ 7 = 17

Reading both columns gives every factor: 1, 7, 17, 119. The factor calculator does this automatically for any number.

Frequently asked questions about 119

What are the factors of 119?

The factors of 119 are 1, 7, 17, and 119. That is 4 factors in total, counting both 1 and 119.

Is 119 a prime number?

No, 119 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 119 is also divisible by 7.

What is the prime factorization of 119?

The prime factorization of 119 is 7 × 17. Written out in full: 7 × 17 = 119. Its distinct prime factors are 7, 17.

What two numbers multiply to give 119?

There are 2 pairs of whole numbers that multiply to 119: 1 × 119, 7 × 17.

What is the sum of the factors of 119?

Adding all the factors of 119 together gives 144. Excluding 119 itself, the proper factors sum to 25.

Is 119 a perfect square?

No, 119 is not a perfect square. There is no whole number that multiplies by itself to give 119. The nearest perfect squares are 100 and 121.

What is the largest factor of 119 other than itself?

The largest factor of 119 apart from 119 itself is 17, since 119 ÷ 17 = 7.

How many factors does 119 have?

119 has 4 factors: 1, 7, 17, and 119. You can verify this from the prime factorization 7 × 17: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 119 down further with the prime factorization calculator, or compare 119 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.