Q: What is the total or count of factors of the number 3,681,536?

 A: 36

How do I find the total factors of the number 3,681,536?

Step 1

Find the prime factorization of the number 3,681,536.

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

Factor Tree
3,681,536
Factor Arrows
21,840,768
Factor Arrows
2920,384
Factor Arrows
2460,192
Factor Arrows
2230,096
Factor Arrows
2115,048
Factor Arrows
257,524
Factor Arrows
228,762
Factor Arrows
214,381
Factor Arrows
73197

The prime factorization in exponential form is: 28 x 731 x 1971

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.

3,681,536 = 28 x 731 x 1971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(3681536) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3681536) = (9)(2)(2)
Down Arrow
d(3681536) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 3,681,536 and how to find them.

Try the factor calculator.

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