Factors of 434
The factors of 434 are 1, 2, 7, 14, 31, 62, 217, and 434. In total, 434 has 8 factors. Its prime factorization is 2 × 7 × 31, and the sum of all its factors is 768.
All factors of 434
Here are all 8 factors of 434, listed from smallest to largest.
Factor pairs of 434
These 4 pairs of whole numbers each multiply to give 434.
Prime factorization of 434
Dividing 434 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 434 are 2, 7, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 434
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 434
| Number of factors | 8 |
|---|---|
| Sum of factors | 768 |
| Sum of proper factors | 334 |
| Prime factorization | 2 × 7 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 434 interesting
- 434 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 434 is a deficient number: its proper factors sum to 334, which is 100 less than 434 itself.
- 434 has 3 distinct prime factors (2, 7, 31), which is why it has so many divisors.
How to find the factors of 434 yourself
Divide 434 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 √434 ≈ 20.83, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 7, 14, 31, 62, 217, 434. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 434.
Frequently asked questions about 434
What are the factors of 434?
Is 434 a prime number?
What is the prime factorization of 434?
What two numbers multiply to give 434?
What is the sum of the factors of 434?
Is 434 a perfect square?
What is the largest factor of 434 other than itself?
How many factors does 434 have?
Explore more
Try another number in the factor calculator, break 434 down further with the prime factorization calculator, or compare 434 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.