Q: What is the total or count of factors of the number 50,533,080?

 A: 128

How do I find the total factors of the number 50,533,080?

Step 1

Find the prime factorization of the number 50,533,080.

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

Factor Tree
50,533,080
Factor Arrows
225,266,540
Factor Arrows
212,633,270
Factor Arrows
26,316,635
Factor Arrows
32,105,545
Factor Arrows
5421,109
Factor Arrows
1332,393
Factor Arrows
291,117

The prime factorization in exponential form is: 23 x 31 x 51 x 131 x 291 x 1,1171

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)(f + 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.

50,533,080 = 23 x 31 x 51 x 131 x 291 x 1,1171
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(50533080) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(50533080) = (4)(2)(2)(2)(2)(2)
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d(50533080) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 50,533,080 and how to find them.

Try the factor calculator.

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