Q: What is the total or count of factors of the number 857,783,485?

 A: 32

How do I find the total factors of the number 857,783,485?

Step 1

Find the prime factorization of the number 857,783,485.

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

Factor Tree
857,783,485
Factor Arrows
5171,556,697
Factor Arrows
1313,196,669
Factor Arrows
31425,699
Factor Arrows
1034,133

The prime factorization in exponential form is: 51 x 131 x 311 x 1031 x 4,1331

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)(e + 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.

857,783,485 = 51 x 131 x 311 x 1031 x 4,1331
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(857783485) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(857783485) = (2)(2)(2)(2)(2)
Down Arrow
d(857783485) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 857,783,485 and how to find them.

Try the factor calculator.

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