Q: What is the total or count of factors of the number 1,536,256?

 A: 36

How do I find the total factors of the number 1,536,256?

Step 1

Find the prime factorization of the number 1,536,256.

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

Factor Tree
1,536,256
Factor Arrows
2768,128
Factor Arrows
2384,064
Factor Arrows
2192,032
Factor Arrows
296,016
Factor Arrows
248,008
Factor Arrows
224,004
Factor Arrows
212,002
Factor Arrows
26,001
Factor Arrows
17353

The prime factorization in exponential form is: 28 x 171 x 3531

Step 2

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

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

1,536,256 = 28 x 171 x 3531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1536256) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1536256) = (9)(2)(2)
Down Arrow
d(1536256) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 1,536,256 and how to find them.

Try the factor calculator.

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