Q: What is the total or count of factors of the number 154,056?

 A: 48

How do I find the total factors of the number 154,056?

Step 1

Find the prime factorization of the number 154,056.

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

Factor Tree
154,056
Factor Arrows
277,028
Factor Arrows
238,514
Factor Arrows
219,257
Factor Arrows
36,419
Factor Arrows
7917
Factor Arrows
7131

The prime factorization in exponential form is: 23 x 31 x 72 x 1311

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.

154,056 = 23 x 31 x 72 x 1311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(154056) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(154056) = (4)(2)(3)(2)
Down Arrow
d(154056) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 154,056 and how to find them.

Try the factor calculator.

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