Q: What is the total or count of factors of the number 436,266,600?

 A: 576

How do I find the total factors of the number 436,266,600?

Step 1

Find the prime factorization of the number 436,266,600.

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

Factor Tree
436,266,600
Factor Arrows
2218,133,300
Factor Arrows
2109,066,650
Factor Arrows
254,533,325
Factor Arrows
318,177,775
Factor Arrows
53,635,555
Factor Arrows
5727,111
Factor Arrows
7103,873
Factor Arrows
714,839
Factor Arrows
111,349
Factor Arrows
1971

The prime factorization in exponential form is: 23 x 31 x 52 x 72 x 111 x 191 x 711

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)(g + 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.

436,266,600 = 23 x 31 x 52 x 72 x 111 x 191 x 711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)(g + 1)
Down Arrow
d(436266600) = (3 + 1)(1 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(436266600) = (4)(2)(3)(3)(2)(2)(2)
Down Arrow
d(436266600) = 576

More numbers for you to try

Take a look at the factors page to see the factors of 436,266,600 and how to find them.

Try the factor calculator.

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