Factor Calculator

Factors of 423

The factors of 423 are 1, 3, 9, 47, 141, and 423. In total, 423 has 6 factors. Its prime factorization is 3² × 47, and the sum of all its factors is 624.

All factors of 423

Here are all 6 factors of 423, listed from smallest to largest.

13947141423

Factor pairs of 423

These 3 pairs of whole numbers each multiply to give 423.

1 × 423 = 423
3 × 141 = 423
9 × 47 = 423

Prime factorization of 423

Dividing 423 by the smallest prime at each step gives its prime factorization:

423 ÷ 3 = 141
141 ÷ 3 = 47
47 ÷ 47 = 1
Result: 423 = 3 × 3 × 47 = 3² × 47

The distinct prime factors of 423 are 3, 47. To factorize any other number, use the prime factorization calculator.

Factor tree of 423

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

Factor tree of 4234233141347
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 423

Number of factors6
Sum of factors624
Sum of proper factors201
Prime factorization3² × 47
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 423 interesting

  • 423 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 423 is a deficient number: its proper factors sum to 201, which is 222 less than 423 itself.

How to find the factors of 423 yourself

Divide 423 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 √42320.57, because every factor above that pairs with one below it.

423 ÷ 1 = 423
423 ÷ 3 = 141
423 ÷ 9 = 47

Reading both columns gives every factor: 1, 3, 9, 47, 141, 423. The factor calculator does this automatically for any number.

Frequently asked questions about 423

What are the factors of 423?

The factors of 423 are 1, 3, 9, 47, 141, and 423. That is 6 factors in total, counting both 1 and 423.

Is 423 a prime number?

No, 423 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 423 is also divisible by 3.

What is the prime factorization of 423?

The prime factorization of 423 is 3² × 47. Written out in full: 3 × 3 × 47 = 423. Its distinct prime factors are 3, 47.

What two numbers multiply to give 423?

There are 3 pairs of whole numbers that multiply to 423: 1 × 423, 3 × 141, 9 × 47.

What is the sum of the factors of 423?

Adding all the factors of 423 together gives 624. Excluding 423 itself, the proper factors sum to 201.

Is 423 a perfect square?

No, 423 is not a perfect square. There is no whole number that multiplies by itself to give 423. The nearest perfect squares are 400 and 441.

What is the largest factor of 423 other than itself?

The largest factor of 423 apart from 423 itself is 141, since 423 ÷ 141 = 3.

How many factors does 423 have?

423 has 6 factors: 1, 3, 9, 47, 141, and 423. You can verify this from the prime factorization 3² × 47: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 423 down further with the prime factorization calculator, or compare 423 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.