Q: What is the total or count of factors of the number 137,400,625?

 A: 20

How do I find the total factors of the number 137,400,625?

Step 1

Find the prime factorization of the number 137,400,625.

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

Factor Tree
137,400,625
Factor Arrows
527,480,125
Factor Arrows
55,496,025
Factor Arrows
51,099,205
Factor Arrows
5219,841
Factor Arrows
1911,151

The prime factorization in exponential form is: 54 x 1911 x 1,1511

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.

137,400,625 = 54 x 1911 x 1,1511
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(137400625) = (4 + 1)(1 + 1)(1 + 1)
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d(137400625) = (5)(2)(2)
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d(137400625) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 137,400,625 and how to find them.

Try the factor calculator.

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