Factor Calculator

Factors of 429

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, and 429. In total, 429 has 8 factors. Its prime factorization is 3 × 11 × 13, and the sum of all its factors is 672.

All factors of 429

Here are all 8 factors of 429, listed from smallest to largest.

1311133339143429

Factor pairs of 429

These 4 pairs of whole numbers each multiply to give 429.

1 × 429 = 429
3 × 143 = 429
11 × 39 = 429
13 × 33 = 429

Prime factorization of 429

Dividing 429 by the smallest prime at each step gives its prime factorization:

429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Result: 429 = 3 × 11 × 13 = 3 × 11 × 13

The distinct prime factors of 429 are 3, 11, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 429

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

Factor tree of 42942931431113
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 429

Number of factors8
Sum of factors672
Sum of proper factors243
Prime factorization3 × 11 × 13
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 429 interesting

  • 429 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.
  • 429 is a deficient number: its proper factors sum to 243, which is 186 less than 429 itself.
  • 429 has 3 distinct prime factors (3, 11, 13), which is why it has so many divisors.

How to find the factors of 429 yourself

Divide 429 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 √429 ≈ 20.71, because every factor above that pairs with one below it.

429 ÷ 1 = 429 ✓
429 ÷ 3 = 143 ✓
429 ÷ 11 = 39 ✓
429 ÷ 13 = 33 ✓

Reading both columns gives every factor: 1, 3, 11, 13, 33, 39, 143, 429. The factor calculator does this automatically for any number.

Numbers mathematically connected to 429.

Frequently asked questions about 429

What are the factors of 429?

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, and 429. That is 8 factors in total, counting both 1 and 429.

Is 429 a prime number?

No, 429 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 429 is also divisible by 3.

What is the prime factorization of 429?

The prime factorization of 429 is 3 × 11 × 13. Written out in full: 3 × 11 × 13 = 429. Its distinct prime factors are 3, 11, 13.

What two numbers multiply to give 429?

There are 4 pairs of whole numbers that multiply to 429: 1 × 429, 3 × 143, 11 × 39, 13 × 33.

What is the sum of the factors of 429?

Adding all the factors of 429 together gives 672. Excluding 429 itself, the proper factors sum to 243.

Is 429 a perfect square?

No, 429 is not a perfect square. There is no whole number that multiplies by itself to give 429. The nearest perfect squares are 400 and 441.

What is the largest factor of 429 other than itself?

The largest factor of 429 apart from 429 itself is 143, since 429 ÷ 143 = 3.

How many factors does 429 have?

429 has 8 factors: 1, 3, 11, 13, 33, 39, 143, and 429. You can verify this from the prime factorization 3 × 11 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 429 down further with the prime factorization calculator, or compare 429 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.