Q: What is the total or count of factors of the number 3,814,350?

 A: 48

How do I find the total factors of the number 3,814,350?

Step 1

Find the prime factorization of the number 3,814,350.

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

Factor Tree
3,814,350
Factor Arrows
21,907,175
Factor Arrows
3635,725
Factor Arrows
5127,145
Factor Arrows
525,429
Factor Arrows
59431

The prime factorization in exponential form is: 21 x 31 x 52 x 591 x 4311

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.

3,814,350 = 21 x 31 x 52 x 591 x 4311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(3814350) = (1 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3814350) = (2)(2)(3)(2)(2)
Down Arrow
d(3814350) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 3,814,350 and how to find them.

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