Q: What is the total or count of factors of the number 1,550,628?

 A: 36

How do I find the total factors of the number 1,550,628?

Step 1

Find the prime factorization of the number 1,550,628.

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

Factor Tree
1,550,628
Factor Arrows
2775,314
Factor Arrows
2387,657
Factor Arrows
3129,219
Factor Arrows
343,073
Factor Arrows
192,267

The prime factorization in exponential form is: 22 x 32 x 191 x 2,2671

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.

1,550,628 = 22 x 32 x 191 x 2,2671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1550628) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1550628) = (3)(3)(2)(2)
Down Arrow
d(1550628) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 1,550,628 and how to find them.

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