Q: What is the total or count of factors of the number 546,187?

 A: 4

How do I find the total factors of the number 546,187?

Step 1

Find the prime factorization of the number 546,187.

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

Factor Tree
546,187
Factor Arrows
4711,621

The prime factorization in exponential form is: 471 x 11,6211

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

546,187 = 471 x 11,6211
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(546187) = (1 + 1)(1 + 1)
Down Arrow
d(546187) = (2)(2)
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d(546187) = 4

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Take a look at the factors page to see the factors of 546,187 and how to find them.

Try the factor calculator.

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