Q: What is the total or count of factors of the number 467,880,579?

 A: 48

How do I find the total factors of the number 467,880,579?

Step 1

Find the prime factorization of the number 467,880,579.

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

Factor Tree
467,880,579
Factor Arrows
3155,960,193
Factor Arrows
351,986,731
Factor Arrows
173,058,043
Factor Arrows
7341,891
Factor Arrows
163257

The prime factorization in exponential form is: 32 x 171 x 731 x 1631 x 2571

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.

467,880,579 = 32 x 171 x 731 x 1631 x 2571
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(467880579) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(467880579) = (3)(2)(2)(2)(2)
Down Arrow
d(467880579) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 467,880,579 and how to find them.

Try the factor calculator.

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