Q: What is the total or count of factors of the number 60,468,438?

 A: 32

How do I find the total factors of the number 60,468,438?

Step 1

Find the prime factorization of the number 60,468,438.

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

Factor Tree
60,468,438
Factor Arrows
230,234,219
Factor Arrows
310,078,073
Factor Arrows
67150,419
Factor Arrows
349431

The prime factorization in exponential form is: 21 x 31 x 671 x 3491 x 4311

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)(e + 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.

60,468,438 = 21 x 31 x 671 x 3491 x 4311
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
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d(60468438) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(60468438) = (2)(2)(2)(2)(2)
Down Arrow
d(60468438) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 60,468,438 and how to find them.

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