Q: What is the total or count of factors of the number 1,780,464?

 A: 60

How do I find the total factors of the number 1,780,464?

Step 1

Find the prime factorization of the number 1,780,464.

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

Factor Tree
1,780,464
Factor Arrows
2890,232
Factor Arrows
2445,116
Factor Arrows
2222,558
Factor Arrows
2111,279
Factor Arrows
337,093
Factor Arrows
75,299
Factor Arrows
7757

The prime factorization in exponential form is: 24 x 31 x 72 x 7571

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.

1,780,464 = 24 x 31 x 72 x 7571
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1780464) = (4 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1780464) = (5)(2)(3)(2)
Down Arrow
d(1780464) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 1,780,464 and how to find them.

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