Q: What is the total or count of factors of the number 151,322,536?

 A: 48

How do I find the total factors of the number 151,322,536?

Step 1

Find the prime factorization of the number 151,322,536.

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

Factor Tree
151,322,536
Factor Arrows
275,661,268
Factor Arrows
237,830,634
Factor Arrows
218,915,317
Factor Arrows
19995,543
Factor Arrows
1952,397
Factor Arrows
151347

The prime factorization in exponential form is: 23 x 192 x 1511 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)

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.

151,322,536 = 23 x 192 x 1511 x 3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(151322536) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(151322536) = (4)(3)(2)(2)
Down Arrow
d(151322536) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 151,322,536 and how to find them.

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