Q: What is the total or count of factors of the number 126,245,536?

 A: 48

How do I find the total factors of the number 126,245,536?

Step 1

Find the prime factorization of the number 126,245,536.

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

Factor Tree
126,245,536
Factor Arrows
263,122,768
Factor Arrows
231,561,384
Factor Arrows
215,780,692
Factor Arrows
27,890,346
Factor Arrows
23,945,173
Factor Arrows
17232,069
Factor Arrows
239971

The prime factorization in exponential form is: 25 x 171 x 2391 x 9711

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)

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.

126,245,536 = 25 x 171 x 2391 x 9711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(126245536) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(126245536) = (6)(2)(2)(2)
Down Arrow
d(126245536) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 126,245,536 and how to find them.

Try the factor calculator.

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