Q: What is the total or count of factors of the number 66,437,100?

 A: 54

How do I find the total factors of the number 66,437,100?

Step 1

Find the prime factorization of the number 66,437,100.

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

Factor Tree
66,437,100
Factor Arrows
233,218,550
Factor Arrows
216,609,275
Factor Arrows
35,536,425
Factor Arrows
31,845,475
Factor Arrows
5369,095
Factor Arrows
573,819

The prime factorization in exponential form is: 22 x 32 x 52 x 73,8191

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.

66,437,100 = 22 x 32 x 52 x 73,8191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(66437100) = (2 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(66437100) = (3)(3)(3)(2)
Down Arrow
d(66437100) = 54

More numbers for you to try

Take a look at the factors page to see the factors of 66,437,100 and how to find them.

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