Q: What is the total or count of factors of the number 783,872?

 A: 20

How do I find the total factors of the number 783,872?

Step 1

Find the prime factorization of the number 783,872.

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

Factor Tree
783,872
Factor Arrows
2391,936
Factor Arrows
2195,968
Factor Arrows
297,984
Factor Arrows
248,992
Factor Arrows
224,496
Factor Arrows
212,248
Factor Arrows
26,124
Factor Arrows
23,062
Factor Arrows
21,531

The prime factorization in exponential form is: 29 x 1,5311

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.

783,872 = 29 x 1,5311
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(783872) = (9 + 1)(1 + 1)
Down Arrow
d(783872) = (10)(2)
Down Arrow
d(783872) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 783,872 and how to find them.

Try the factor calculator.

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