Q: What is the total or count of factors of the number 16,162,328?

 A: 48

How do I find the total factors of the number 16,162,328?

Step 1

Find the prime factorization of the number 16,162,328.

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

Factor Tree
16,162,328
Factor Arrows
28,081,164
Factor Arrows
24,040,582
Factor Arrows
22,020,291
Factor Arrows
7288,613
Factor Arrows
1322,201
Factor Arrows
149149

The prime factorization in exponential form is: 23 x 71 x 131 x 1492

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.

16,162,328 = 23 x 71 x 131 x 1492
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(16162328) = (3 + 1)(1 + 1)(1 + 1)(2 + 1)
Down Arrow
d(16162328) = (4)(2)(2)(3)
Down Arrow
d(16162328) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 16,162,328 and how to find them.

Try the factor calculator.

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