Q: What is the total or count of factors of the number 155,412,152?

 A: 32

How do I find the total factors of the number 155,412,152?

Step 1

Find the prime factorization of the number 155,412,152.

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

Factor Tree
155,412,152
Factor Arrows
277,706,076
Factor Arrows
238,853,038
Factor Arrows
219,426,519
Factor Arrows
72,775,217
Factor Arrows
1,2892,153

The prime factorization in exponential form is: 23 x 71 x 1,2891 x 2,1531

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.

155,412,152 = 23 x 71 x 1,2891 x 2,1531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(155412152) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(155412152) = (4)(2)(2)(2)
Down Arrow
d(155412152) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 155,412,152 and how to find them.

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