Factor Calculator

Factors of 430

The factors of 430 are 1, 2, 5, 10, 43, 86, 215, and 430. In total, 430 has 8 factors. Its prime factorization is 2 × 5 × 43, and the sum of all its factors is 792.

All factors of 430

Here are all 8 factors of 430, listed from smallest to largest.

125104386215430

Factor pairs of 430

These 4 pairs of whole numbers each multiply to give 430.

1 × 430 = 430
2 × 215 = 430
5 × 86 = 430
10 × 43 = 430

Prime factorization of 430

Dividing 430 by the smallest prime at each step gives its prime factorization:

430 ÷ 2 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
Result: 430 = 2 × 5 × 43 = 2 × 5 × 43

The distinct prime factors of 430 are 2, 5, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 430

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 4304302215543
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 430

Number of factors8
Sum of factors792
Sum of proper factors362
Prime factorization2 × 5 × 43
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 430 interesting

  • 430 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.
  • 430 is a deficient number: its proper factors sum to 362, which is 68 less than 430 itself.
  • 430 has 3 distinct prime factors (2, 5, 43), which is why it has so many divisors.

How to find the factors of 430 yourself

Divide 430 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 √430 ≈ 20.74, because every factor above that pairs with one below it.

430 ÷ 1 = 430 ✓
430 ÷ 2 = 215 ✓
430 ÷ 5 = 86 ✓
430 ÷ 10 = 43 ✓

Reading both columns gives every factor: 1, 2, 5, 10, 43, 86, 215, 430. The factor calculator does this automatically for any number.

Numbers mathematically connected to 430.

Frequently asked questions about 430

What are the factors of 430?

The factors of 430 are 1, 2, 5, 10, 43, 86, 215, and 430. That is 8 factors in total, counting both 1 and 430.

Is 430 a prime number?

No, 430 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 430 is also divisible by 2.

What is the prime factorization of 430?

The prime factorization of 430 is 2 × 5 × 43. Written out in full: 2 × 5 × 43 = 430. Its distinct prime factors are 2, 5, 43.

What two numbers multiply to give 430?

There are 4 pairs of whole numbers that multiply to 430: 1 × 430, 2 × 215, 5 × 86, 10 × 43.

What is the sum of the factors of 430?

Adding all the factors of 430 together gives 792. Excluding 430 itself, the proper factors sum to 362.

Is 430 a perfect square?

No, 430 is not a perfect square. There is no whole number that multiplies by itself to give 430. The nearest perfect squares are 400 and 441.

What is the largest factor of 430 other than itself?

The largest factor of 430 apart from 430 itself is 215, since 430 ÷ 215 = 2.

How many factors does 430 have?

430 has 8 factors: 1, 2, 5, 10, 43, 86, 215, and 430. You can verify this from the prime factorization 2 × 5 × 43: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 430 down further with the prime factorization calculator, or compare 430 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.