Q: What is the total or count of factors of the number 1,024?

 A: 11

How do I find the total factors of the number 1,024?

Step 1

Find the prime factorization of the number 1,024.

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

Factor Tree
1,024
Factor Arrows
2512
Factor Arrows
2256
Factor Arrows
2128
Factor Arrows
264
Factor Arrows
232
Factor Arrows
216
Factor Arrows
28
Factor Arrows
24
Factor Arrows
22

The prime factorization in exponential form is: 210

Step 2

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

d(n) = (a + 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.

1,024 = 210
Down Arrow
d(n) = (a + 1)
Down Arrow
d(1024) = (10 + 1)
Down Arrow
d(1024) = (11)
Down Arrow
d(1024) = 11

More numbers for you to try

Take a look at the factors page to see the factors of 1,024 and how to find them.

Try the factor calculator.

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