Factor Calculator

Factors of 444

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444. In total, 444 has 12 factors. Its prime factorization is 2² × 3 × 37, and the sum of all its factors is 1064.

All factors of 444

Here are all 12 factors of 444, listed from smallest to largest.

12346123774111148222444

Factor pairs of 444

These 6 pairs of whole numbers each multiply to give 444.

1 × 444 = 444
2 × 222 = 444
3 × 148 = 444
4 × 111 = 444
6 × 74 = 444
12 × 37 = 444

Prime factorization of 444

Dividing 444 by the smallest prime at each step gives its prime factorization:

444 ÷ 2 = 222
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
Result: 444 = 2 × 2 × 3 × 37 = 2² × 3 × 37

The distinct prime factors of 444 are 2, 3, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 444

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

Factor tree of 44444422222111337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 444

Number of factors12
Sum of factors1064
Sum of proper factors620
Prime factorization2² × 3 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 444 interesting

  • 444 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 444 is an abundant number: its proper factors sum to 620, which is 176 more than 444 itself.
  • 444 has 3 distinct prime factors (2, 3, 37), which is why it has so many divisors.

How to find the factors of 444 yourself

Divide 444 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 √444 ≈ 21.07, because every factor above that pairs with one below it.

444 ÷ 1 = 444 ✓
444 ÷ 2 = 222 ✓
444 ÷ 3 = 148 ✓
444 ÷ 4 = 111 ✓
444 ÷ 6 = 74 ✓
444 ÷ 12 = 37 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. The factor calculator does this automatically for any number.

Numbers mathematically connected to 444.

Frequently asked questions about 444

What are the factors of 444?

The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444. That is 12 factors in total, counting both 1 and 444.

Is 444 a prime number?

No, 444 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 444 is also divisible by 2.

What is the prime factorization of 444?

The prime factorization of 444 is 2² × 3 × 37. Written out in full: 2 × 2 × 3 × 37 = 444. Its distinct prime factors are 2, 3, 37.

What two numbers multiply to give 444?

There are 6 pairs of whole numbers that multiply to 444: 1 × 444, 2 × 222, 3 × 148, 4 × 111, 6 × 74, 12 × 37.

What is the sum of the factors of 444?

Adding all the factors of 444 together gives 1064. Excluding 444 itself, the proper factors sum to 620.

Is 444 a perfect square?

No, 444 is not a perfect square. There is no whole number that multiplies by itself to give 444. The nearest perfect squares are 441 and 484.

What is the largest factor of 444 other than itself?

The largest factor of 444 apart from 444 itself is 222, since 444 ÷ 222 = 2.

How many factors does 444 have?

444 has 12 factors: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444. You can verify this from the prime factorization 2² × 3 × 37: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 444 down further with the prime factorization calculator, or compare 444 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.