Q: What is the total or count of factors of the number 1,734,040?

 A: 64

How do I find the total factors of the number 1,734,040?

Step 1

Find the prime factorization of the number 1,734,040.

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

Factor Tree
1,734,040
Factor Arrows
2867,020
Factor Arrows
2433,510
Factor Arrows
2216,755
Factor Arrows
543,351
Factor Arrows
76,193
Factor Arrows
11563

The prime factorization in exponential form is: 23 x 51 x 71 x 111 x 5631

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.

1,734,040 = 23 x 51 x 71 x 111 x 5631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1734040) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1734040) = (4)(2)(2)(2)(2)
Down Arrow
d(1734040) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 1,734,040 and how to find them.

Try the factor calculator.

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