Factors of 355
The factors of 355 are 1, 5, 71, and 355. In total, 355 has 4 factors. Its prime factorization is 5 × 71, and the sum of all its factors is 432.
All factors of 355
Here are all 4 factors of 355, listed from smallest to largest.
Factor pairs of 355
These 2 pairs of whole numbers each multiply to give 355.
Prime factorization of 355
Dividing 355 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 355 are 5, 71. To factorize any other number, use the prime factorization calculator.
Factor tree of 355
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 355
| Number of factors | 4 |
|---|---|
| Sum of factors | 432 |
| Sum of proper factors | 77 |
| Prime factorization | 5 × 71 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 355 interesting
- 355 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.
- 355 is a deficient number: its proper factors sum to 77, which is 278 less than 355 itself.
How to find the factors of 355 yourself
Divide 355 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 ≈ 18.84, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 71, 355. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 355.
Frequently asked questions about 355
What are the factors of 355?
Is 355 a prime number?
What is the prime factorization of 355?
What two numbers multiply to give 355?
What is the sum of the factors of 355?
Is 355 a perfect square?
What is the largest factor of 355 other than itself?
How many factors does 355 have?
Explore more
Try another number in the factor calculator, break 355 down further with the prime factorization calculator, or compare 355 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.