Q: What is the total or count of factors of the number 102,620,112?

 A: 160

How do I find the total factors of the number 102,620,112?

Step 1

Find the prime factorization of the number 102,620,112.

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

Factor Tree
102,620,112
Factor Arrows
251,310,056
Factor Arrows
225,655,028
Factor Arrows
212,827,514
Factor Arrows
26,413,757
Factor Arrows
32,137,919
Factor Arrows
7305,417
Factor Arrows
743,631
Factor Arrows
76,233
Factor Arrows
23271

The prime factorization in exponential form is: 24 x 31 x 73 x 231 x 2711

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)(e + 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.

102,620,112 = 24 x 31 x 73 x 231 x 2711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(102620112) = (4 + 1)(1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(102620112) = (5)(2)(4)(2)(2)
Down Arrow
d(102620112) = 160

More numbers for you to try

Take a look at the factors page to see the factors of 102,620,112 and how to find them.

Try the factor calculator.

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