Q: What is the total or count of factors of the number 554,311,332?

 A: 18

How do I find the total factors of the number 554,311,332?

Step 1

Find the prime factorization of the number 554,311,332.

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

Factor Tree
554,311,332
Factor Arrows
2277,155,666
Factor Arrows
2138,577,833
Factor Arrows
346,192,611
Factor Arrows
315,397,537

The prime factorization in exponential form is: 22 x 32 x 15,397,5371

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

554,311,332 = 22 x 32 x 15,397,5371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(554311332) = (2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(554311332) = (3)(3)(2)
Down Arrow
d(554311332) = 18

More numbers for you to try

Take a look at the factors page to see the factors of 554,311,332 and how to find them.

Try the factor calculator.

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