Q: What is the total or count of factors of the number 1,632,736?

 A: 48

How do I find the total factors of the number 1,632,736?

Step 1

Find the prime factorization of the number 1,632,736.

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

Factor Tree
1,632,736
Factor Arrows
2816,368
Factor Arrows
2408,184
Factor Arrows
2204,092
Factor Arrows
2102,046
Factor Arrows
251,023
Factor Arrows
77,289
Factor Arrows
37197

The prime factorization in exponential form is: 25 x 71 x 371 x 1971

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.

1,632,736 = 25 x 71 x 371 x 1971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1632736) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1632736) = (6)(2)(2)(2)
Down Arrow
d(1632736) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,632,736 and how to find them.

Try the factor calculator.

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