Q: What is the total or count of factors of the number 3,574,272?

 A: 80

How do I find the total factors of the number 3,574,272?

Step 1

Find the prime factorization of the number 3,574,272.

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

Factor Tree
3,574,272
Factor Arrows
21,787,136
Factor Arrows
2893,568
Factor Arrows
2446,784
Factor Arrows
2223,392
Factor Arrows
2111,696
Factor Arrows
255,848
Factor Arrows
227,924
Factor Arrows
213,962
Factor Arrows
26,981
Factor Arrows
32,327
Factor Arrows
13179

The prime factorization in exponential form is: 29 x 31 x 131 x 1791

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.

3,574,272 = 29 x 31 x 131 x 1791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(3574272) = (9 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3574272) = (10)(2)(2)(2)
Down Arrow
d(3574272) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 3,574,272 and how to find them.

Try the factor calculator.

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