Q: What is the total or count of factors of the number 1,763,652?

 A: 48

How do I find the total factors of the number 1,763,652?

Step 1

Find the prime factorization of the number 1,763,652.

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

Factor Tree
1,763,652
Factor Arrows
2881,826
Factor Arrows
2440,913
Factor Arrows
3146,971
Factor Arrows
1113,361
Factor Arrows
31431

The prime factorization in exponential form is: 22 x 31 x 111 x 311 x 4311

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.

1,763,652 = 22 x 31 x 111 x 311 x 4311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1763652) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1763652) = (3)(2)(2)(2)(2)
Down Arrow
d(1763652) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 1,763,652 and how to find them.

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