Factor Calculator

Factors of 435

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, and 435. In total, 435 has 8 factors. Its prime factorization is 3 × 5 × 29, and the sum of all its factors is 720.

All factors of 435

Here are all 8 factors of 435, listed from smallest to largest.

135152987145435

Factor pairs of 435

These 4 pairs of whole numbers each multiply to give 435.

1 × 435 = 435
3 × 145 = 435
5 × 87 = 435
15 × 29 = 435

Prime factorization of 435

Dividing 435 by the smallest prime at each step gives its prime factorization:

435 ÷ 3 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
Result: 435 = 3 × 5 × 29 = 3 × 5 × 29

The distinct prime factors of 435 are 3, 5, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 435

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

Factor tree of 4354353145529
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 435

Number of factors8
Sum of factors720
Sum of proper factors285
Prime factorization3 × 5 × 29
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 435 interesting

  • 435 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 435 is a deficient number: its proper factors sum to 285, which is 150 less than 435 itself.
  • 435 is a triangular number — it is the sum of the first 29 whole numbers (1 + 2 + … + 29 = 435).
  • 435 has 3 distinct prime factors (3, 5, 29), which is why it has so many divisors.

How to find the factors of 435 yourself

Divide 435 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 √43520.86, because every factor above that pairs with one below it.

435 ÷ 1 = 435
435 ÷ 3 = 145
435 ÷ 5 = 87
435 ÷ 15 = 29

Reading both columns gives every factor: 1, 3, 5, 15, 29, 87, 145, 435. The factor calculator does this automatically for any number.

Frequently asked questions about 435

What are the factors of 435?

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, and 435. That is 8 factors in total, counting both 1 and 435.

Is 435 a prime number?

No, 435 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 435 is also divisible by 3.

What is the prime factorization of 435?

The prime factorization of 435 is 3 × 5 × 29. Written out in full: 3 × 5 × 29 = 435. Its distinct prime factors are 3, 5, 29.

What two numbers multiply to give 435?

There are 4 pairs of whole numbers that multiply to 435: 1 × 435, 3 × 145, 5 × 87, 15 × 29.

What is the sum of the factors of 435?

Adding all the factors of 435 together gives 720. Excluding 435 itself, the proper factors sum to 285.

Is 435 a perfect square?

No, 435 is not a perfect square. There is no whole number that multiplies by itself to give 435. The nearest perfect squares are 400 and 441.

What is the largest factor of 435 other than itself?

The largest factor of 435 apart from 435 itself is 145, since 435 ÷ 145 = 3.

How many factors does 435 have?

435 has 8 factors: 1, 3, 5, 15, 29, 87, 145, and 435. You can verify this from the prime factorization 3 × 5 × 29: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 435 down further with the prime factorization calculator, or compare 435 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.