Q: What is the total or count of factors of the number 3,865,610?

 A: 48

How do I find the total factors of the number 3,865,610?

Step 1

Find the prime factorization of the number 3,865,610.

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

Factor Tree
3,865,610
Factor Arrows
21,932,805
Factor Arrows
5386,561
Factor Arrows
755,223
Factor Arrows
77,889
Factor Arrows
71,127
Factor Arrows
7161
Factor Arrows
723

The prime factorization in exponential form is: 21 x 51 x 75 x 231

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.

3,865,610 = 21 x 51 x 75 x 231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(3865610) = (1 + 1)(1 + 1)(5 + 1)(1 + 1)
Down Arrow
d(3865610) = (2)(2)(6)(2)
Down Arrow
d(3865610) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 3,865,610 and how to find them.

Try the factor calculator.

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