Q: What is the total or count of factors of the number 35,545,530?

 A: 64

How do I find the total factors of the number 35,545,530?

Step 1

Find the prime factorization of the number 35,545,530.

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

Factor Tree
35,545,530
Factor Arrows
217,772,765
Factor Arrows
35,924,255
Factor Arrows
51,184,851
Factor Arrows
3138,221
Factor Arrows
371,033

The prime factorization in exponential form is: 21 x 31 x 51 x 311 x 371 x 1,0331

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.

35,545,530 = 21 x 31 x 51 x 311 x 371 x 1,0331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(35545530) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(35545530) = (2)(2)(2)(2)(2)(2)
Down Arrow
d(35545530) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 35,545,530 and how to find them.

Try the factor calculator.

Explore more about the number 35,545,530:


Ask a Question