Q: What is the total or count of factors of the number 536,405,004?

 A: 72

How do I find the total factors of the number 536,405,004?

Step 1

Find the prime factorization of the number 536,405,004.

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

Factor Tree
536,405,004
Factor Arrows
2268,202,502
Factor Arrows
2134,101,251
Factor Arrows
344,700,417
Factor Arrows
314,900,139
Factor Arrows
34,966,713
Factor Arrows
31,655,571
Factor Arrows
3551,857
Factor Arrows
1793,083

The prime factorization in exponential form is: 22 x 35 x 1791 x 3,0831

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.

536,405,004 = 22 x 35 x 1791 x 3,0831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(536405004) = (2 + 1)(5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(536405004) = (3)(6)(2)(2)
Down Arrow
d(536405004) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 536,405,004 and how to find them.

Try the factor calculator.

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