Factors of 349
The factors of 349 are 1 and 349. Since 349 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 350, and its prime factorization is simply 349 itself.
All factors of 349
Here are all 2 factors of 349, listed from smallest to largest.
Factor pairs of 349
There is only one factor pair for 349, because it is prime.
Prime factorization of 349
349 is a prime number, so it cannot be broken down further. Its prime factorization is simply 349.
Properties of 349
| Number of factors | 2 |
|---|---|
| Sum of factors | 350 |
| Sum of proper factors | 1 |
| Prime factorization | 349 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 349 interesting
- 349 is a prime number, so its only factors are 1 and 349. It cannot be split into a product of two smaller whole numbers.
- Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
How to find the factors of 349 yourself
Divide 349 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 √349 ≈ 18.68, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 349. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 349.
Frequently asked questions about 349
What are the factors of 349?
Is 349 a prime number?
What is the prime factorization of 349?
What two numbers multiply to give 349?
What is the sum of the factors of 349?
Is 349 a perfect square?
What is the largest factor of 349 other than itself?
How many factors does 349 have?
Explore more
Try another number in the factor calculator, break 349 down further with the prime factorization calculator, or compare 349 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.