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Factors of 3488

The factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. It has 12 factors.

Factors of 3488

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    A factor of 3488 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3488 ā‰ˆ 59.06; every one that divides gives a pair.

  2. 2

    The factor pairs are listed in the table below. Together they give 12 factors.

  3. 3

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

    3488=25Ɨ1093488 = 2^{5} \times 109
  4. 4

    Add all the factors: 1 + 2 + 4 + 8 + 16 + 32 + 109 + 218 + 436 + 872 + 1744 + 3488 = 6930. Without 3488 itself that is 3442, so 3488 is a deficient number.

LaTeX source of the formulas on this page
\[ 3488 = 2^{5} \times 109 \]

Factor pairs of 3488

FactorPairs withProduct
134881 Ɨ 3488 = 3488
217442 Ɨ 1744 = 3488
48724 Ɨ 872 = 3488
84368 Ɨ 436 = 3488
1621816 Ɨ 218 = 3488
3210932 Ɨ 109 = 3488

Questions

What are the factors of 3488?

The factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. It has 12 factors.

What are the prime factors of 3488?

2, 109. As a product: 252^{5} Ɨ 109.

How many factors does 3488 have?

3488 has 12 factors (6 factor pairs).

What is the sum of the factors of 3488?

6930.

Is 3488 a prime number?

No. It is divisible by 2, so 3488 = 2 Ɨ 1744.

Nearby numbers

More about 3488

    Factors of 3488: 12 factors, pairs and prime factors | WordGPT