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Factors of 144

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. It has 15 factors.

Factors of 144

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 144 is a whole number that divides it with nothing left over. You only need to test the numbers up to √144 ā‰ˆ 12.00; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 15 factors.

  3. 3

    Prime factorisation: keep dividing by the smallest prime that fits.

    144=24Ɨ32144 = 2^{4} \times 3^{2}
  4. 4

    Add all the factors: the sum is 403. Without 144 itself that is 259, so 144 is an abundant number.

LaTeX source of the formulas on this page
\[ 144 = 2^{4} \times 3^{2} \]

Factor pairs of 144

FactorPairs withProduct
11441 Ɨ 144 = 144
2722 Ɨ 72 = 144
3483 Ɨ 48 = 144
4364 Ɨ 36 = 144
6246 Ɨ 24 = 144
8188 Ɨ 18 = 144
9169 Ɨ 16 = 144
121212 Ɨ 12 = 144

Questions

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, 144. It has 15 factors.

What are the prime factors of 144?

2, 3. As a product: 242^{4} Ɨ 323^{2}.

How many factors does 144 have?

144 has 15 factors (8 factor pairs, one of them 12 Ɨ 12).

What is the sum of the factors of 144?

403.

Is 144 a prime number?

No. It is divisible by 2, so 144 = 2 Ɨ 72.

Nearby numbers

More about 144

    Factors of 144: 15 factors, pairs and prime factors | WordGPT