Factor Calculator

Factors of 35

The factors of 35 are 1, 5, 7, and 35. In total, 35 has 4 factors. Its prime factorization is 5 × 7, and the sum of all its factors is 48.

All factors of 35

Here are all 4 factors of 35, listed from smallest to largest.

15735

Factor pairs of 35

These 2 pairs of whole numbers each multiply to give 35.

1 × 35 = 35
5 × 7 = 35

Prime factorization of 35

Dividing 35 by the smallest prime at each step gives its prime factorization:

35 ÷ 5 = 7
7 ÷ 7 = 1
Result: 35 = 5 × 7 = 5 × 7

The distinct prime factors of 35 are 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 35

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

Factor tree of 353557
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 35

Number of factors4
Sum of factors48
Sum of proper factors13
Prime factorization5 × 7
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 35 interesting

  • 35 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.
  • 35 is a deficient number: its proper factors sum to 13, which is 22 less than 35 itself.

How to find the factors of 35 yourself

Divide 35 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 √355.92, because every factor above that pairs with one below it.

35 ÷ 1 = 35
35 ÷ 5 = 7

Reading both columns gives every factor: 1, 5, 7, 35. The factor calculator does this automatically for any number.

Frequently asked questions about 35

What are the factors of 35?

The factors of 35 are 1, 5, 7, and 35. That is 4 factors in total, counting both 1 and 35.

Is 35 a prime number?

No, 35 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 35 is also divisible by 5.

What is the prime factorization of 35?

The prime factorization of 35 is 5 × 7. Written out in full: 5 × 7 = 35. Its distinct prime factors are 5, 7.

What two numbers multiply to give 35?

There are 2 pairs of whole numbers that multiply to 35: 1 × 35, 5 × 7.

What is the sum of the factors of 35?

Adding all the factors of 35 together gives 48. Excluding 35 itself, the proper factors sum to 13.

Is 35 a perfect square?

No, 35 is not a perfect square. There is no whole number that multiplies by itself to give 35. The nearest perfect squares are 25 and 36.

What is the largest factor of 35 other than itself?

The largest factor of 35 apart from 35 itself is 7, since 35 ÷ 7 = 5.

How many factors does 35 have?

35 has 4 factors: 1, 5, 7, and 35. You can verify this from the prime factorization 5 × 7: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 35 down further with the prime factorization calculator, or compare 35 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.