Q: What is the total or count of factors of the number 59,764,770?

 A: 64

How do I find the total factors of the number 59,764,770?

Step 1

Find the prime factorization of the number 59,764,770.

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

Factor Tree
59,764,770
Factor Arrows
229,882,385
Factor Arrows
39,960,795
Factor Arrows
33,320,265
Factor Arrows
31,106,755
Factor Arrows
5221,351
Factor Arrows
1317,027

The prime factorization in exponential form is: 21 x 33 x 51 x 131 x 17,0271

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.

59,764,770 = 21 x 33 x 51 x 131 x 17,0271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(59764770) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(59764770) = (2)(4)(2)(2)(2)
Down Arrow
d(59764770) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 59,764,770 and how to find them.

Try the factor calculator.

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