Q: What is the total or count of factors of the number 734,616?

 A: 64

How do I find the total factors of the number 734,616?

Step 1

Find the prime factorization of the number 734,616.

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

Factor Tree
734,616
Factor Arrows
2367,308
Factor Arrows
2183,654
Factor Arrows
291,827
Factor Arrows
330,609
Factor Arrows
310,203
Factor Arrows
33,401
Factor Arrows
19179

The prime factorization in exponential form is: 23 x 33 x 191 x 1791

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.

734,616 = 23 x 33 x 191 x 1791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(734616) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(734616) = (4)(4)(2)(2)
Down Arrow
d(734616) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 734,616 and how to find them.

Try the factor calculator.

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