Q: What is the total or count of factors of the number 1,738,044?

 A: 144

How do I find the total factors of the number 1,738,044?

Step 1

Find the prime factorization of the number 1,738,044.

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

Factor Tree
1,738,044
Factor Arrows
2869,022
Factor Arrows
2434,511
Factor Arrows
3144,837
Factor Arrows
348,279
Factor Arrows
316,093
Factor Arrows
72,299
Factor Arrows
11209
Factor Arrows
1119

The prime factorization in exponential form is: 22 x 33 x 71 x 112 x 191

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)

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.

1,738,044 = 22 x 33 x 71 x 112 x 191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1738044) = (2 + 1)(3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1738044) = (3)(4)(2)(3)(2)
Down Arrow
d(1738044) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 1,738,044 and how to find them.

Try the factor calculator.

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