Factors of 407
The factors of 407 are 1, 11, 37, and 407. In total, 407 has 4 factors. Its prime factorization is 11 × 37, and the sum of all its factors is 456.
All factors of 407
Here are all 4 factors of 407, listed from smallest to largest.
Factor pairs of 407
These 2 pairs of whole numbers each multiply to give 407.
Prime factorization of 407
Dividing 407 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 407 are 11, 37. To factorize any other number, use the prime factorization calculator.
Factor tree of 407
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 407
| Number of factors | 4 |
|---|---|
| Sum of factors | 456 |
| Sum of proper factors | 49 |
| Prime factorization | 11 × 37 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 407 interesting
- 407 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.
- 407 is a deficient number: its proper factors sum to 49, which is 358 less than 407 itself.
How to find the factors of 407 yourself
Divide 407 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 √407 ≈ 20.17, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 37, 407. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 407.
Frequently asked questions about 407
What are the factors of 407?
Is 407 a prime number?
What is the prime factorization of 407?
What two numbers multiply to give 407?
What is the sum of the factors of 407?
Is 407 a perfect square?
What is the largest factor of 407 other than itself?
How many factors does 407 have?
Explore more
Try another number in the factor calculator, break 407 down further with the prime factorization calculator, or compare 407 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.