Q: What is the total or count of factors of the number 2,570,148?

 A: 108

How do I find the total factors of the number 2,570,148?

Step 1

Find the prime factorization of the number 2,570,148.

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

Factor Tree
2,570,148
Factor Arrows
21,285,074
Factor Arrows
2642,537
Factor Arrows
3214,179
Factor Arrows
371,393
Factor Arrows
710,199
Factor Arrows
71,457
Factor Arrows
3147

The prime factorization in exponential form is: 22 x 32 x 72 x 311 x 471

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.

2,570,148 = 22 x 32 x 72 x 311 x 471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2570148) = (2 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2570148) = (3)(3)(3)(2)(2)
Down Arrow
d(2570148) = 108

More numbers for you to try

Take a look at the factors page to see the factors of 2,570,148 and how to find them.

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