Q: What is the total or count of factors of the number 154,020,034?

 A: 64

How do I find the total factors of the number 154,020,034?

Step 1

Find the prime factorization of the number 154,020,034.

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

Factor Tree
154,020,034
Factor Arrows
277,010,017
Factor Arrows
711,001,431
Factor Arrows
71,571,633
Factor Arrows
7224,519
Factor Arrows
1713,207
Factor Arrows
47281

The prime factorization in exponential form is: 21 x 73 x 171 x 471 x 2811

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.

154,020,034 = 21 x 73 x 171 x 471 x 2811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(154020034) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(154020034) = (2)(4)(2)(2)(2)
Down Arrow
d(154020034) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 154,020,034 and how to find them.

Try the factor calculator.

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