Q: What is the total or count of factors of the number 704,147,297?

 A: 12

How do I find the total factors of the number 704,147,297?

Step 1

Find the prime factorization of the number 704,147,297.

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

Factor Tree
704,147,297
Factor Arrows
7100,592,471
Factor Arrows
714,370,353
Factor Arrows
23960,127

The prime factorization in exponential form is: 72 x 2391 x 60,1271

Step 2

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

d(n) = (a + 1)(b + 1)(c + 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.

704,147,297 = 72 x 2391 x 60,1271
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d(n) = (a + 1)(b + 1)(c + 1)
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d(704147297) = (2 + 1)(1 + 1)(1 + 1)
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d(704147297) = (3)(2)(2)
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d(704147297) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 704,147,297 and how to find them.

Try the factor calculator.

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