Q: What is the total or count of factors of the number 7,493,499?

 A: 32

How do I find the total factors of the number 7,493,499?

Step 1

Find the prime factorization of the number 7,493,499.

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

Factor Tree
7,493,499
Factor Arrows
32,497,833
Factor Arrows
3832,611
Factor Arrows
3277,537
Factor Arrows
1321,349
Factor Arrows
37577

The prime factorization in exponential form is: 33 x 131 x 371 x 5771

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.

7,493,499 = 33 x 131 x 371 x 5771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(7493499) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(7493499) = (4)(2)(2)(2)
Down Arrow
d(7493499) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 7,493,499 and how to find them.

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