Q: What is the total or count of factors of the number 38,013,732?

 A: 48

How do I find the total factors of the number 38,013,732?

Step 1

Find the prime factorization of the number 38,013,732.

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

Factor Tree
38,013,732
Factor Arrows
219,006,866
Factor Arrows
29,503,433
Factor Arrows
33,167,811
Factor Arrows
31,055,937
Factor Arrows
3351,979
Factor Arrows
523673

The prime factorization in exponential form is: 22 x 33 x 5231 x 6731

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.

38,013,732 = 22 x 33 x 5231 x 6731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(38013732) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(38013732) = (3)(4)(2)(2)
Down Arrow
d(38013732) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 38,013,732 and how to find them.

Try the factor calculator.

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