Q: What is the total or count of factors of the number 232,210,143?

 A: 24

How do I find the total factors of the number 232,210,143?

Step 1

Find the prime factorization of the number 232,210,143.

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

Factor Tree
232,210,143
Factor Arrows
377,403,381
Factor Arrows
325,801,127
Factor Arrows
112,345,557
Factor Arrows
9724,181

The prime factorization in exponential form is: 32 x 111 x 971 x 24,1811

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.

232,210,143 = 32 x 111 x 971 x 24,1811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(232210143) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(232210143) = (3)(2)(2)(2)
Down Arrow
d(232210143) = 24

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Take a look at the factors page to see the factors of 232,210,143 and how to find them.

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