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.
Factor pairs of 35
These 2 pairs of whole numbers each multiply to give 35.
Prime factorization of 35
Dividing 35 by the smallest prime at each step gives its prime factorization:
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.
Properties of 35
| Number of factors | 4 |
|---|---|
| Sum of factors | 48 |
| Sum of proper factors | 13 |
| Prime factorization | 5 × 7 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √35 ≈ 5.92, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 7, 35. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 35.
Frequently asked questions about 35
What are the factors of 35?
Is 35 a prime number?
What is the prime factorization of 35?
What two numbers multiply to give 35?
What is the sum of the factors of 35?
Is 35 a perfect square?
What is the largest factor of 35 other than itself?
How many factors does 35 have?
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.