Q: What is the total or count of factors of the number 424,340?

 A: 36

How do I find the total factors of the number 424,340?

Step 1

Find the prime factorization of the number 424,340.

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

Factor Tree
424,340
Factor Arrows
2212,170
Factor Arrows
2106,085
Factor Arrows
521,217
Factor Arrows
73,031
Factor Arrows
7433

The prime factorization in exponential form is: 22 x 51 x 72 x 4331

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.

424,340 = 22 x 51 x 72 x 4331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(424340) = (2 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(424340) = (3)(2)(3)(2)
Down Arrow
d(424340) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 424,340 and how to find them.

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