Q: What is the total or count of factors of the number 43,422,330?

 A: 96

How do I find the total factors of the number 43,422,330?

Step 1

Find the prime factorization of the number 43,422,330.

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

Factor Tree
43,422,330
Factor Arrows
221,711,165
Factor Arrows
37,237,055
Factor Arrows
51,447,411
Factor Arrows
7206,773
Factor Arrows
729,539
Factor Arrows
109271

The prime factorization in exponential form is: 21 x 31 x 51 x 72 x 1091 x 2711

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.

43,422,330 = 21 x 31 x 51 x 72 x 1091 x 2711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(43422330) = (1 + 1)(1 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(43422330) = (2)(2)(2)(3)(2)(2)
Down Arrow
d(43422330) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 43,422,330 and how to find them.

Try the factor calculator.

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