Q: What is the total or count of factors of the number 24,250,050?

 A: 192

How do I find the total factors of the number 24,250,050?

Step 1

Find the prime factorization of the number 24,250,050.

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

Factor Tree
24,250,050
Factor Arrows
212,125,025
Factor Arrows
34,041,675
Factor Arrows
31,347,225
Factor Arrows
3449,075
Factor Arrows
589,815
Factor Arrows
517,963
Factor Arrows
111,633
Factor Arrows
2371

The prime factorization in exponential form is: 21 x 33 x 52 x 111 x 231 x 711

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)(f + 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.

24,250,050 = 21 x 33 x 52 x 111 x 231 x 711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(24250050) = (1 + 1)(3 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(24250050) = (2)(4)(3)(2)(2)(2)
Down Arrow
d(24250050) = 192

More numbers for you to try

Take a look at the factors page to see the factors of 24,250,050 and how to find them.

Try the factor calculator.

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