Q: What is the total or count of factors of the number 1,405,632?

 A: 28

How do I find the total factors of the number 1,405,632?

Step 1

Find the prime factorization of the number 1,405,632.

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

Factor Tree
1,405,632
Factor Arrows
2702,816
Factor Arrows
2351,408
Factor Arrows
2175,704
Factor Arrows
287,852
Factor Arrows
243,926
Factor Arrows
221,963
Factor Arrows
37,321

The prime factorization in exponential form is: 26 x 31 x 7,3211

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

1,405,632 = 26 x 31 x 7,3211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(1405632) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1405632) = (7)(2)(2)
Down Arrow
d(1405632) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 1,405,632 and how to find them.

Try the factor calculator.

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