Q: What is the total or count of factors of the number 67,055,541?

 A: 32

How do I find the total factors of the number 67,055,541?

Step 1

Find the prime factorization of the number 67,055,541.

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

Factor Tree
67,055,541
Factor Arrows
322,351,847
Factor Arrows
73,193,121
Factor Arrows
19168,059
Factor Arrows
414,099

The prime factorization in exponential form is: 31 x 71 x 191 x 411 x 4,0991

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.

67,055,541 = 31 x 71 x 191 x 411 x 4,0991
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(67055541) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(67055541) = (2)(2)(2)(2)(2)
Down Arrow
d(67055541) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 67,055,541 and how to find them.

Try the factor calculator.

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