Q: What is the total or count of factors of the number 148,336,461?

 A: 32

How do I find the total factors of the number 148,336,461?

Step 1

Find the prime factorization of the number 148,336,461.

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

Factor Tree
148,336,461
Factor Arrows
349,445,487
Factor Arrows
316,481,829
Factor Arrows
35,493,943
Factor Arrows
7784,849
Factor Arrows
1360,373

The prime factorization in exponential form is: 33 x 71 x 131 x 60,3731

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.

148,336,461 = 33 x 71 x 131 x 60,3731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(148336461) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(148336461) = (4)(2)(2)(2)
Down Arrow
d(148336461) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 148,336,461 and how to find them.

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