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.
Factor pairs of 435
These 4 pairs of whole numbers each multiply to give 435.
Prime factorization of 435
Dividing 435 by the smallest prime at each step gives its prime factorization:
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.
Properties of 435
| Number of factors | 8 |
|---|---|
| Sum of factors | 720 |
| Sum of proper factors | 285 |
| Prime factorization | 3 × 5 × 29 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √435 ≈ 20.86, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 5, 15, 29, 87, 145, 435. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 435.
Frequently asked questions about 435
What are the factors of 435?
Is 435 a prime number?
What is the prime factorization of 435?
What two numbers multiply to give 435?
What is the sum of the factors of 435?
Is 435 a perfect square?
What is the largest factor of 435 other than itself?
How many factors does 435 have?
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.