Q: What is the total or count of factors of the number 6,151,248?

 A: 80

How do I find the total factors of the number 6,151,248?

Step 1

Find the prime factorization of the number 6,151,248.

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

Factor Tree
6,151,248
Factor Arrows
23,075,624
Factor Arrows
21,537,812
Factor Arrows
2768,906
Factor Arrows
2384,453
Factor Arrows
3128,151
Factor Arrows
342,717
Factor Arrows
314,239
Factor Arrows
29491

The prime factorization in exponential form is: 24 x 33 x 291 x 4911

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.

6,151,248 = 24 x 33 x 291 x 4911
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(6151248) = (4 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(6151248) = (5)(4)(2)(2)
Down Arrow
d(6151248) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 6,151,248 and how to find them.

Try the factor calculator.

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