Q: What is the total or count of factors of the number 303,821,749?

 A: 32

How do I find the total factors of the number 303,821,749?

Step 1

Find the prime factorization of the number 303,821,749.

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

Factor Tree
303,821,749
Factor Arrows
743,403,107
Factor Arrows
113,945,737
Factor Arrows
8347,539
Factor Arrows
137347

The prime factorization in exponential form is: 71 x 111 x 831 x 1371 x 3471

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.

303,821,749 = 71 x 111 x 831 x 1371 x 3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(303821749) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(303821749) = (2)(2)(2)(2)(2)
Down Arrow
d(303821749) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 303,821,749 and how to find them.

Try the factor calculator.

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