Q: What is the total or count of factors of the number 123,375,550?

 A: 48

How do I find the total factors of the number 123,375,550?

Step 1

Find the prime factorization of the number 123,375,550.

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

Factor Tree
123,375,550
Factor Arrows
261,687,775
Factor Arrows
512,337,555
Factor Arrows
52,467,511
Factor Arrows
19129,869
Factor Arrows
612,129

The prime factorization in exponential form is: 21 x 52 x 191 x 611 x 2,1291

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.

123,375,550 = 21 x 52 x 191 x 611 x 2,1291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(123375550) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(123375550) = (2)(3)(2)(2)(2)
Down Arrow
d(123375550) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 123,375,550 and how to find them.

Try the factor calculator.

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