Q: What is the total or count of factors of the number 8,498,176?

 A: 44

How do I find the total factors of the number 8,498,176?

Step 1

Find the prime factorization of the number 8,498,176.

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

Factor Tree
8,498,176
Factor Arrows
24,249,088
Factor Arrows
22,124,544
Factor Arrows
21,062,272
Factor Arrows
2531,136
Factor Arrows
2265,568
Factor Arrows
2132,784
Factor Arrows
266,392
Factor Arrows
233,196
Factor Arrows
216,598
Factor Arrows
28,299
Factor Arrows
43193

The prime factorization in exponential form is: 210 x 431 x 1931

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.

8,498,176 = 210 x 431 x 1931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(8498176) = (10 + 1)(1 + 1)(1 + 1)
Down Arrow
d(8498176) = (11)(2)(2)
Down Arrow
d(8498176) = 44

More numbers for you to try

Take a look at the factors page to see the factors of 8,498,176 and how to find them.

Try the factor calculator.

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