Q: What is the total or count of factors of the number 1,722,424?

 A: 48

How do I find the total factors of the number 1,722,424?

Step 1

Find the prime factorization of the number 1,722,424.

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

Factor Tree
1,722,424
Factor Arrows
2861,212
Factor Arrows
2430,606
Factor Arrows
2215,303
Factor Arrows
1119,573
Factor Arrows
23851
Factor Arrows
2337

The prime factorization in exponential form is: 23 x 111 x 232 x 371

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.

1,722,424 = 23 x 111 x 232 x 371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1722424) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1722424) = (4)(2)(3)(2)
Down Arrow
d(1722424) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,722,424 and how to find them.

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