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Factors of 1472

The factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. It has 14 factors.

Factors of 1472

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 1472 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1472 ā‰ˆ 38.37; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 14 factors.

  3. 3

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

    1472=26Ɨ231472 = 2^{6} \times 23
  4. 4

    Add all the factors: the sum is 3048. Without 1472 itself that is 1576, so 1472 is an abundant number.

LaTeX source of the formulas on this page
\[ 1472 = 2^{6} \times 23 \]

Factor pairs of 1472

FactorPairs withProduct
114721 Ɨ 1472 = 1472
27362 Ɨ 736 = 1472
43684 Ɨ 368 = 1472
81848 Ɨ 184 = 1472
169216 Ɨ 92 = 1472
236423 Ɨ 64 = 1472
324632 Ɨ 46 = 1472

Questions

What are the factors of 1472?

The factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. It has 14 factors.

What are the prime factors of 1472?

2, 23. As a product: 262^{6} Ɨ 23.

How many factors does 1472 have?

1472 has 14 factors (7 factor pairs).

What is the sum of the factors of 1472?

3048.

Is 1472 a prime number?

No. It is divisible by 2, so 1472 = 2 Ɨ 736.

Nearby numbers

More about 1472

    Factors of 1472: 14 factors, pairs and prime factors | WordGPT