Factor Calculator

Factors of 34

The factors of 34 are 1, 2, 17, and 34. In total, 34 has 4 factors. Its prime factorization is 2 × 17, and the sum of all its factors is 54.

All factors of 34

Here are all 4 factors of 34, listed from smallest to largest.

121734

Factor pairs of 34

These 2 pairs of whole numbers each multiply to give 34.

1 × 34 = 34
2 × 17 = 34

Prime factorization of 34

Dividing 34 by the smallest prime at each step gives its prime factorization:

34 ÷ 2 = 17
17 ÷ 17 = 1
Result: 34 = 2 × 17 = 2 × 17

The distinct prime factors of 34 are 2, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 34

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

Factor tree of 3434217
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 34

Number of factors4
Sum of factors54
Sum of proper factors20
Prime factorization2 × 17
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 34 interesting

  • 34 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.
  • 34 is a deficient number: its proper factors sum to 20, which is 14 less than 34 itself.
  • 34 appears in the Fibonacci sequence, where each number is the sum of the two before it.

How to find the factors of 34 yourself

Divide 34 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 √345.83, because every factor above that pairs with one below it.

34 ÷ 1 = 34
34 ÷ 2 = 17

Reading both columns gives every factor: 1, 2, 17, 34. The factor calculator does this automatically for any number.

Frequently asked questions about 34

What are the factors of 34?

The factors of 34 are 1, 2, 17, and 34. That is 4 factors in total, counting both 1 and 34.

Is 34 a prime number?

No, 34 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 34 is also divisible by 2.

What is the prime factorization of 34?

The prime factorization of 34 is 2 × 17. Written out in full: 2 × 17 = 34. Its distinct prime factors are 2, 17.

What two numbers multiply to give 34?

There are 2 pairs of whole numbers that multiply to 34: 1 × 34, 2 × 17.

What is the sum of the factors of 34?

Adding all the factors of 34 together gives 54. Excluding 34 itself, the proper factors sum to 20.

Is 34 a perfect square?

No, 34 is not a perfect square. There is no whole number that multiplies by itself to give 34. The nearest perfect squares are 25 and 36.

What is the largest factor of 34 other than itself?

The largest factor of 34 apart from 34 itself is 17, since 34 ÷ 17 = 2.

How many factors does 34 have?

34 has 4 factors: 1, 2, 17, and 34. You can verify this from the prime factorization 2 × 17: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 34 down further with the prime factorization calculator, or compare 34 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.