Q: What is the total or count of factors of the number 71,213,148?

 A: 48

How do I find the total factors of the number 71,213,148?

Step 1

Find the prime factorization of the number 71,213,148.

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

Factor Tree
71,213,148
Factor Arrows
235,606,574
Factor Arrows
217,803,287
Factor Arrows
35,934,429
Factor Arrows
31,978,143
Factor Arrows
3659,381
Factor Arrows
1374,813

The prime factorization in exponential form is: 22 x 33 x 1371 x 4,8131

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.

71,213,148 = 22 x 33 x 1371 x 4,8131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(71213148) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(71213148) = (3)(4)(2)(2)
Down Arrow
d(71213148) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 71,213,148 and how to find them.

Try the factor calculator.

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