Q: What is the total or count of factors of the number 124,210,422?

 A: 96

How do I find the total factors of the number 124,210,422?

Step 1

Find the prime factorization of the number 124,210,422.

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

Factor Tree
124,210,422
Factor Arrows
262,105,211
Factor Arrows
320,701,737
Factor Arrows
36,900,579
Factor Arrows
32,300,193
Factor Arrows
3766,731
Factor Arrows
3255,577
Factor Arrows
736,511
Factor Arrows
291,259

The prime factorization in exponential form is: 21 x 35 x 71 x 291 x 1,2591

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.

124,210,422 = 21 x 35 x 71 x 291 x 1,2591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(124210422) = (1 + 1)(5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(124210422) = (2)(6)(2)(2)(2)
Down Arrow
d(124210422) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 124,210,422 and how to find them.

Try the factor calculator.

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