Factor Calculator

Factors of 144

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. In total, 144 has 15 factors. Its prime factorization is 2⁴ × 3², and the sum of all its factors is 403. 144 is also a perfect square, equal to 12 × 12.

All factors of 144

Here are all 15 factors of 144, listed from smallest to largest.

123468912161824364872144

Factor pairs of 144

These 8 pairs of whole numbers each multiply to give 144.

1 × 144 = 144
2 × 72 = 144
3 × 48 = 144
4 × 36 = 144
6 × 24 = 144
8 × 18 = 144
9 × 16 = 144
12 × 12 = 144

Notice the pair (12, 12) — because 144 is a perfect square, this pair uses the same number twice.

Prime factorization of 144

Dividing 144 by the smallest prime at each step gives its prime factorization:

144 ÷ 2 = 72
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²

The distinct prime factors of 144 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 144

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

Factor tree of 1441442722362182933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 144

Number of factors15
Sum of factors403
Sum of proper factors259
Prime factorization2⁴ × 3²
Prime or composite?Composite
Even or odd?Even
Perfect square?Yes (12²)
Perfect cube?No
ClassificationAbundant

What makes 144 interesting

  • 144 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 144 is a perfect square: 12 × 12 = 144. This is why it has an odd number of factors (15) — the pair (12, 12) counts only once.
  • 144 is an abundant number: its proper factors sum to 259, which is 115 more than 144 itself.
  • 144 appears in the Fibonacci sequence, where each number is the sum of the two before it.

How to find the factors of 144 yourself

Divide 144 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 √144 ≈ 12.00, because every factor above that pairs with one below it.

144 ÷ 1 = 144 ✓
144 ÷ 2 = 72 ✓
144 ÷ 3 = 48 ✓
144 ÷ 4 = 36 ✓
144 ÷ 6 = 24 ✓
144 ÷ 8 = 18 ✓
144 ÷ 9 = 16 ✓
144 ÷ 12 = 12 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. The factor calculator does this automatically for any number.

Numbers mathematically connected to 144.

Frequently asked questions about 144

What are the factors of 144?

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. That is 15 factors in total, counting both 1 and 144.

Is 144 a prime number?

No, 144 is not prime — it is a composite number with 15 factors. A prime number has exactly two factors, but 144 is also divisible by 2.

What is the prime factorization of 144?

The prime factorization of 144 is 2⁴ × 3². Written out in full: 2 × 2 × 2 × 2 × 3 × 3 = 144. Its distinct prime factors are 2, 3.

What two numbers multiply to give 144?

There are 8 pairs of whole numbers that multiply to 144: 1 × 144, 2 × 72, 3 × 48, 4 × 36, 6 × 24, 8 × 18, 9 × 16, 12 × 12.

What is the sum of the factors of 144?

Adding all the factors of 144 together gives 403. Excluding 144 itself, the proper factors sum to 259.

Is 144 a perfect square?

Yes, 144 is a perfect square. It equals 12 × 12. Perfect squares always have an odd number of factors — 144 has 15.

What is the largest factor of 144 other than itself?

The largest factor of 144 apart from 144 itself is 72, since 144 ÷ 72 = 2.

How many factors does 144 have?

144 has 15 factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. You can verify this from the prime factorization 2⁴ × 3²: add 1 to each exponent and multiply, giving 5 × 3 = 15.

Explore more

Try another number in the factor calculator, break 144 down further with the prime factorization calculator, or compare 144 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.