Q: What is the total or count of factors of the number 332,211,123?

 A: 36

How do I find the total factors of the number 332,211,123?

Step 1

Find the prime factorization of the number 332,211,123.

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

Factor Tree
332,211,123
Factor Arrows
3110,737,041
Factor Arrows
336,912,347
Factor Arrows
37997,631
Factor Arrows
3726,963
Factor Arrows
59457

The prime factorization in exponential form is: 32 x 372 x 591 x 4571

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.

332,211,123 = 32 x 372 x 591 x 4571
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(332211123) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(332211123) = (3)(3)(2)(2)
Down Arrow
d(332211123) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 332,211,123 and how to find them.

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