Factors of 350
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, and 350. In total, 350 has 12 factors. Its prime factorization is 2 × 5² × 7, and the sum of all its factors is 744.
All factors of 350
Here are all 12 factors of 350, listed from smallest to largest.
Factor pairs of 350
These 6 pairs of whole numbers each multiply to give 350.
Prime factorization of 350
Dividing 350 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 350 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 350
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 350
| Number of factors | 12 |
|---|---|
| Sum of factors | 744 |
| Sum of proper factors | 394 |
| Prime factorization | 2 × 5² × 7 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 350 interesting
- 350 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 350 is an abundant number: its proper factors sum to 394, which is 44 more than 350 itself.
- 350 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.
How to find the factors of 350 yourself
Divide 350 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 √350 ≈ 18.71, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 350.
Frequently asked questions about 350
What are the factors of 350?
Is 350 a prime number?
What is the prime factorization of 350?
What two numbers multiply to give 350?
What is the sum of the factors of 350?
Is 350 a perfect square?
What is the largest factor of 350 other than itself?
How many factors does 350 have?
Explore more
Try another number in the factor calculator, break 350 down further with the prime factorization calculator, or compare 350 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.