Q: What is the total or count of factors of the number 53,001,552?

 A: 40

How do I find the total factors of the number 53,001,552?

Step 1

Find the prime factorization of the number 53,001,552.

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

Factor Tree
53,001,552
Factor Arrows
226,500,776
Factor Arrows
213,250,388
Factor Arrows
26,625,194
Factor Arrows
23,312,597
Factor Arrows
31,104,199
Factor Arrows
1318,429

The prime factorization in exponential form is: 24 x 31 x 1311 x 8,4291

Step 2

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

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

53,001,552 = 24 x 31 x 1311 x 8,4291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(53001552) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(53001552) = (5)(2)(2)(2)
Down Arrow
d(53001552) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 53,001,552 and how to find them.

Try the factor calculator.

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