Q: What is the total or count of factors of the number 787,740,456?

 A: 128

How do I find the total factors of the number 787,740,456?

Step 1

Find the prime factorization of the number 787,740,456.

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

Factor Tree
787,740,456
Factor Arrows
2393,870,228
Factor Arrows
2196,935,114
Factor Arrows
298,467,557
Factor Arrows
332,822,519
Factor Arrows
191,727,501
Factor Arrows
2959,569
Factor Arrows
71839

The prime factorization in exponential form is: 23 x 31 x 191 x 291 x 711 x 8391

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)(f + 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.

787,740,456 = 23 x 31 x 191 x 291 x 711 x 8391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(787740456) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(787740456) = (4)(2)(2)(2)(2)(2)
Down Arrow
d(787740456) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 787,740,456 and how to find them.

Try the factor calculator.

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