Q: What is the total or count of factors of the number 540,450?

 A: 36

How do I find the total factors of the number 540,450?

Step 1

Find the prime factorization of the number 540,450.

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

Factor Tree
540,450
Factor Arrows
2270,225
Factor Arrows
390,075
Factor Arrows
330,025
Factor Arrows
56,005
Factor Arrows
51,201

The prime factorization in exponential form is: 21 x 32 x 52 x 1,2011

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.

540,450 = 21 x 32 x 52 x 1,2011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(540450) = (1 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(540450) = (2)(3)(3)(2)
Down Arrow
d(540450) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 540,450 and how to find them.

Try the factor calculator.

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