Q: What is the total or count of factors of the number 534,541,312?

 A: 44

How do I find the total factors of the number 534,541,312?

Step 1

Find the prime factorization of the number 534,541,312.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
534,541,312
Factor Arrows
2267,270,656
Factor Arrows
2133,635,328
Factor Arrows
266,817,664
Factor Arrows
233,408,832
Factor Arrows
216,704,416
Factor Arrows
28,352,208
Factor Arrows
24,176,104
Factor Arrows
22,088,052
Factor Arrows
21,044,026
Factor Arrows
2522,013
Factor Arrows
3371,549

The prime factorization in exponential form is: 210 x 3371 x 1,5491

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

534,541,312 = 210 x 3371 x 1,5491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(534541312) = (10 + 1)(1 + 1)(1 + 1)
Down Arrow
d(534541312) = (11)(2)(2)
Down Arrow
d(534541312) = 44

More numbers for you to try

Take a look at the factors page to see the factors of 534,541,312 and how to find them.

Try the factor calculator.

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