Factors of 696
The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, and 696. In total, 696 has 16 factors. Its prime factorization is 2³ × 3 × 29, and the sum of all its factors is 1800.
All factors of 696
Here are all 16 factors of 696, listed from smallest to largest.
Factor pairs of 696
These 8 pairs of whole numbers each multiply to give 696.
Prime factorization of 696
Dividing 696 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 696 are 2, 3, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 696
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 696
| Number of factors | 16 |
|---|---|
| Sum of factors | 1800 |
| Sum of proper factors | 1104 |
| Prime factorization | 2³ × 3 × 29 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 696 interesting
- 696 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 696 is an abundant number: its proper factors sum to 1104, which is 408 more than 696 itself.
- 696 has 3 distinct prime factors (2, 3, 29), which is why it has so many divisors.
How to find the factors of 696 yourself
Divide 696 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 √696 ≈ 26.38, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 696.
Frequently asked questions about 696
What are the factors of 696?
Is 696 a prime number?
What is the prime factorization of 696?
What two numbers multiply to give 696?
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Is 696 a perfect square?
What is the largest factor of 696 other than itself?
How many factors does 696 have?
Explore more
Try another number in the factor calculator, break 696 down further with the prime factorization calculator, or compare 696 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.