Q: What is the total or count of factors of the number 19,434,960?

 A: 60

How do I find the total factors of the number 19,434,960?

Step 1

Find the prime factorization of the number 19,434,960.

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

Factor Tree
19,434,960
Factor Arrows
29,717,480
Factor Arrows
24,858,740
Factor Arrows
22,429,370
Factor Arrows
21,214,685
Factor Arrows
3404,895
Factor Arrows
3134,965
Factor Arrows
526,993

The prime factorization in exponential form is: 24 x 32 x 51 x 26,9931

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.

19,434,960 = 24 x 32 x 51 x 26,9931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(19434960) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(19434960) = (5)(3)(2)(2)
Down Arrow
d(19434960) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 19,434,960 and how to find them.

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