Q: What is the total or count of factors of the number 970,336?

 A: 12

How do I find the total factors of the number 970,336?

Step 1

Find the prime factorization of the number 970,336.

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

Factor Tree
970,336
Factor Arrows
2485,168
Factor Arrows
2242,584
Factor Arrows
2121,292
Factor Arrows
260,646
Factor Arrows
230,323

The prime factorization in exponential form is: 25 x 30,3231

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.

970,336 = 25 x 30,3231
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(970336) = (5 + 1)(1 + 1)
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d(970336) = (6)(2)
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d(970336) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 970,336 and how to find them.

Try the factor calculator.

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