Q: What is the total or count of factors of the number 1,738,828?

 A: 48

How do I find the total factors of the number 1,738,828?

Step 1

Find the prime factorization of the number 1,738,828.

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

Factor Tree
1,738,828
Factor Arrows
2869,414
Factor Arrows
2434,707
Factor Arrows
762,101
Factor Arrows
134,777
Factor Arrows
17281

The prime factorization in exponential form is: 22 x 71 x 131 x 171 x 2811

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.

1,738,828 = 22 x 71 x 131 x 171 x 2811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1738828) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1738828) = (3)(2)(2)(2)(2)
Down Arrow
d(1738828) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,738,828 and how to find them.

Try the factor calculator.

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