Q: What is the total or count of factors of the number 45,743,584?

 A: 24

How do I find the total factors of the number 45,743,584?

Step 1

Find the prime factorization of the number 45,743,584.

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

Factor Tree
45,743,584
Factor Arrows
222,871,792
Factor Arrows
211,435,896
Factor Arrows
25,717,948
Factor Arrows
22,858,974
Factor Arrows
21,429,487
Factor Arrows
4673,061

The prime factorization in exponential form is: 25 x 4671 x 3,0611

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

45,743,584 = 25 x 4671 x 3,0611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(45743584) = (5 + 1)(1 + 1)(1 + 1)
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d(45743584) = (6)(2)(2)
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d(45743584) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 45,743,584 and how to find them.

Try the factor calculator.

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