Q: What is the total or count of factors of the number 122,306,436?

 A: 60

How do I find the total factors of the number 122,306,436?

Step 1

Find the prime factorization of the number 122,306,436.

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

Factor Tree
122,306,436
Factor Arrows
261,153,218
Factor Arrows
230,576,609
Factor Arrows
310,192,203
Factor Arrows
33,397,401
Factor Arrows
31,132,467
Factor Arrows
3377,489
Factor Arrows
753,927

The prime factorization in exponential form is: 22 x 34 x 71 x 53,9271

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.

122,306,436 = 22 x 34 x 71 x 53,9271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(122306436) = (2 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(122306436) = (3)(5)(2)(2)
Down Arrow
d(122306436) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 122,306,436 and how to find them.

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