Q: What is the total or count of factors of the number 88,046,848?

 A: 18

How do I find the total factors of the number 88,046,848?

Step 1

Find the prime factorization of the number 88,046,848.

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

Factor Tree
88,046,848
Factor Arrows
244,023,424
Factor Arrows
222,011,712
Factor Arrows
211,005,856
Factor Arrows
25,502,928
Factor Arrows
22,751,464
Factor Arrows
21,375,732
Factor Arrows
2687,866
Factor Arrows
2343,933

The prime factorization in exponential form is: 28 x 343,9331

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

88,046,848 = 28 x 343,9331
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(88046848) = (8 + 1)(1 + 1)
Down Arrow
d(88046848) = (9)(2)
Down Arrow
d(88046848) = 18

More numbers for you to try

Take a look at the factors page to see the factors of 88,046,848 and how to find them.

Try the factor calculator.

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