Q: What is the total or count of factors of the number 147,354,144?

 A: 48

How do I find the total factors of the number 147,354,144?

Step 1

Find the prime factorization of the number 147,354,144.

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

Factor Tree
147,354,144
Factor Arrows
273,677,072
Factor Arrows
236,838,536
Factor Arrows
218,419,268
Factor Arrows
29,209,634
Factor Arrows
24,604,817
Factor Arrows
31,534,939
Factor Arrows
7219,277

The prime factorization in exponential form is: 25 x 31 x 71 x 219,2771

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.

147,354,144 = 25 x 31 x 71 x 219,2771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(147354144) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(147354144) = (6)(2)(2)(2)
Down Arrow
d(147354144) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 147,354,144 and how to find them.

Try the factor calculator.

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