Q: What is the total or count of factors of the number 2,221,536?

 A: 48

How do I find the total factors of the number 2,221,536?

Step 1

Find the prime factorization of the number 2,221,536.

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

Factor Tree
2,221,536
Factor Arrows
21,110,768
Factor Arrows
2555,384
Factor Arrows
2277,692
Factor Arrows
2138,846
Factor Arrows
269,423
Factor Arrows
323,141
Factor Arrows
73317

The prime factorization in exponential form is: 25 x 31 x 731 x 3171

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.

2,221,536 = 25 x 31 x 731 x 3171
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2221536) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2221536) = (6)(2)(2)(2)
Down Arrow
d(2221536) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 2,221,536 and how to find them.

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