Factors of 698
The factors of 698 are 1, 2, 349, and 698. In total, 698 has 4 factors. Its prime factorization is 2 × 349, and the sum of all its factors is 1050.
All factors of 698
Here are all 4 factors of 698, listed from smallest to largest.
Factor pairs of 698
These 2 pairs of whole numbers each multiply to give 698.
Prime factorization of 698
Dividing 698 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 698 are 2, 349. To factorize any other number, use the prime factorization calculator.
Factor tree of 698
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 698
| Number of factors | 4 |
|---|---|
| Sum of factors | 1050 |
| Sum of proper factors | 352 |
| Prime factorization | 2 × 349 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 698 interesting
- 698 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.
- 698 is a deficient number: its proper factors sum to 352, which is 346 less than 698 itself.
How to find the factors of 698 yourself
Divide 698 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 √698 ≈ 26.42, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 349, 698. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 698.
Frequently asked questions about 698
What are the factors of 698?
Is 698 a prime number?
What is the prime factorization of 698?
What two numbers multiply to give 698?
What is the sum of the factors of 698?
Is 698 a perfect square?
What is the largest factor of 698 other than itself?
How many factors does 698 have?
Explore more
Try another number in the factor calculator, break 698 down further with the prime factorization calculator, or compare 698 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.