Q: What is the total or count of factors of the number 969,246?

 A: 40

How do I find the total factors of the number 969,246?

Step 1

Find the prime factorization of the number 969,246.

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

Factor Tree
969,246
Factor Arrows
2484,623
Factor Arrows
3161,541
Factor Arrows
353,847
Factor Arrows
317,949
Factor Arrows
35,983
Factor Arrows
31193

The prime factorization in exponential form is: 21 x 34 x 311 x 1931

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)

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.

969,246 = 21 x 34 x 311 x 1931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(969246) = (1 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(969246) = (2)(5)(2)(2)
Down Arrow
d(969246) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 969,246 and how to find them.

Try the factor calculator.

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