Factor Calculator

Factors of 335

The factors of 335 are 1, 5, 67, and 335. In total, 335 has 4 factors. Its prime factorization is 5 × 67, and the sum of all its factors is 408.

All factors of 335

Here are all 4 factors of 335, listed from smallest to largest.

1567335

Factor pairs of 335

These 2 pairs of whole numbers each multiply to give 335.

1 × 335 = 335
5 × 67 = 335

Prime factorization of 335

Dividing 335 by the smallest prime at each step gives its prime factorization:

335 ÷ 5 = 67
67 ÷ 67 = 1
Result: 335 = 5 × 67 = 5 × 67

The distinct prime factors of 335 are 5, 67. To factorize any other number, use the prime factorization calculator.

Factor tree of 335

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

Factor tree of 335335567
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 335

Number of factors4
Sum of factors408
Sum of proper factors73
Prime factorization5 × 67
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 335 interesting

  • 335 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.
  • 335 is a deficient number: its proper factors sum to 73, which is 262 less than 335 itself.

How to find the factors of 335 yourself

Divide 335 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 √33518.30, because every factor above that pairs with one below it.

335 ÷ 1 = 335
335 ÷ 5 = 67

Reading both columns gives every factor: 1, 5, 67, 335. The factor calculator does this automatically for any number.

Frequently asked questions about 335

What are the factors of 335?

The factors of 335 are 1, 5, 67, and 335. That is 4 factors in total, counting both 1 and 335.

Is 335 a prime number?

No, 335 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 335 is also divisible by 5.

What is the prime factorization of 335?

The prime factorization of 335 is 5 × 67. Written out in full: 5 × 67 = 335. Its distinct prime factors are 5, 67.

What two numbers multiply to give 335?

There are 2 pairs of whole numbers that multiply to 335: 1 × 335, 5 × 67.

What is the sum of the factors of 335?

Adding all the factors of 335 together gives 408. Excluding 335 itself, the proper factors sum to 73.

Is 335 a perfect square?

No, 335 is not a perfect square. There is no whole number that multiplies by itself to give 335. The nearest perfect squares are 324 and 361.

What is the largest factor of 335 other than itself?

The largest factor of 335 apart from 335 itself is 67, since 335 ÷ 67 = 5.

How many factors does 335 have?

335 has 4 factors: 1, 5, 67, and 335. You can verify this from the prime factorization 5 × 67: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 335 down further with the prime factorization calculator, or compare 335 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.