Q: What is the total or count of factors of the number 10,714,005?

 A: 32

How do I find the total factors of the number 10,714,005?

Step 1

Find the prime factorization of the number 10,714,005.

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

Factor Tree
10,714,005
Factor Arrows
33,571,335
Factor Arrows
31,190,445
Factor Arrows
3396,815
Factor Arrows
579,363
Factor Arrows
194,177

The prime factorization in exponential form is: 33 x 51 x 191 x 4,1771

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.

10,714,005 = 33 x 51 x 191 x 4,1771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(10714005) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(10714005) = (4)(2)(2)(2)
Down Arrow
d(10714005) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 10,714,005 and how to find them.

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