Q: What is the total or count of factors of the number 535,059?

 A: 32

How do I find the total factors of the number 535,059?

Step 1

Find the prime factorization of the number 535,059.

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

Factor Tree
535,059
Factor Arrows
3178,353
Factor Arrows
359,451
Factor Arrows
319,817
Factor Arrows
72,831
Factor Arrows
19149

The prime factorization in exponential form is: 33 x 71 x 191 x 1491

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.

535,059 = 33 x 71 x 191 x 1491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(535059) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(535059) = (4)(2)(2)(2)
Down Arrow
d(535059) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 535,059 and how to find them.

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