Q: What is the total or count of factors of the number 1,477,368?

 A: 72

How do I find the total factors of the number 1,477,368?

Step 1

Find the prime factorization of the number 1,477,368.

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

Factor Tree
1,477,368
Factor Arrows
2738,684
Factor Arrows
2369,342
Factor Arrows
2184,671
Factor Arrows
361,557
Factor Arrows
320,519
Factor Arrows
171,207
Factor Arrows
1771

The prime factorization in exponential form is: 23 x 32 x 172 x 711

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.

1,477,368 = 23 x 32 x 172 x 711
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1477368) = (3 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(1477368) = (4)(3)(3)(2)
Down Arrow
d(1477368) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 1,477,368 and how to find them.

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