Q: What is the total or count of factors of the number 543,062,541?

 A: 48

How do I find the total factors of the number 543,062,541?

Step 1

Find the prime factorization of the number 543,062,541.

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

Factor Tree
543,062,541
Factor Arrows
3181,020,847
Factor Arrows
725,860,121
Factor Arrows
73,694,303
Factor Arrows
19194,437
Factor Arrows
1271,531

The prime factorization in exponential form is: 31 x 72 x 191 x 1271 x 1,5311

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.

543,062,541 = 31 x 72 x 191 x 1271 x 1,5311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(543062541) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(543062541) = (2)(3)(2)(2)(2)
Down Arrow
d(543062541) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 543,062,541 and how to find them.

Try the factor calculator.

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