Q: What is the total or count of factors of the number 151,316,532?

 A: 96

How do I find the total factors of the number 151,316,532?

Step 1

Find the prime factorization of the number 151,316,532.

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

Factor Tree
151,316,532
Factor Arrows
275,658,266
Factor Arrows
237,829,133
Factor Arrows
312,609,711
Factor Arrows
34,203,237
Factor Arrows
31,401,079
Factor Arrows
1973,741
Factor Arrows
371,993

The prime factorization in exponential form is: 22 x 33 x 191 x 371 x 1,9931

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)(e + 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.

151,316,532 = 22 x 33 x 191 x 371 x 1,9931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(151316532) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(151316532) = (3)(4)(2)(2)(2)
Down Arrow
d(151316532) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 151,316,532 and how to find them.

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