Q: What is the total or count of factors of the number 28,254,226?

 A: 48

How do I find the total factors of the number 28,254,226?

Step 1

Find the prime factorization of the number 28,254,226.

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

Factor Tree
28,254,226
Factor Arrows
214,127,113
Factor Arrows
72,018,159
Factor Arrows
11183,469
Factor Arrows
1116,679
Factor Arrows
131,283

The prime factorization in exponential form is: 21 x 71 x 112 x 131 x 1,2831

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)(e + 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.

28,254,226 = 21 x 71 x 112 x 131 x 1,2831
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(28254226) = (1 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
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d(28254226) = (2)(2)(3)(2)(2)
Down Arrow
d(28254226) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 28,254,226 and how to find them.

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