Q: What is the total or count of factors of the number 14,057,410?

 A: 16

How do I find the total factors of the number 14,057,410?

Step 1

Find the prime factorization of the number 14,057,410.

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

Factor Tree
14,057,410
Factor Arrows
27,028,705
Factor Arrows
51,405,741
Factor Arrows
3737,993

The prime factorization in exponential form is: 21 x 51 x 371 x 37,9931

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.

14,057,410 = 21 x 51 x 371 x 37,9931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(14057410) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(14057410) = (2)(2)(2)(2)
Down Arrow
d(14057410) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 14,057,410 and how to find them.

Try the factor calculator.

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