Q: What are the factor combinations of the number 37,471,819?

 A:
Positive:   1 x 374718197 x 535311711 x 340652919 x 197220149 x 76473177 x 486647133 x 281743209 x 179291539 x 69521931 x 402491463 x 256133659 x 10241
Negative: -1 x -37471819-7 x -5353117-11 x -3406529-19 x -1972201-49 x -764731-77 x -486647-133 x -281743-209 x -179291-539 x -69521-931 x -40249-1463 x -25613-3659 x -10241


How do I find the factor combinations of the number 37,471,819?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 37,471,819, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 37,471,819
-1 -37,471,819

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,471,819.

Example:
1 x 37,471,819 = 37,471,819
and
-1 x -37,471,819 = 37,471,819
Notice both answers equal 37,471,819

With that explanation out of the way, let's continue. Next, we take the number 37,471,819 and divide it by 2:

37,471,819 ÷ 2 = 18,735,909.5

If the quotient is a whole number, then 2 and 18,735,909.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 37,471,819
-1 -37,471,819

Now, we try dividing 37,471,819 by 3:

37,471,819 ÷ 3 = 12,490,606.3333

If the quotient is a whole number, then 3 and 12,490,606.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 37,471,819
-1 -37,471,819

Let's try dividing by 4:

37,471,819 ÷ 4 = 9,367,954.75

If the quotient is a whole number, then 4 and 9,367,954.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 37,471,819
-1 37,471,819
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17111949771332095399311,4633,65910,24125,61340,24969,521179,291281,743486,647764,7311,972,2013,406,5295,353,11737,471,819
-1-7-11-19-49-77-133-209-539-931-1,463-3,659-10,241-25,613-40,249-69,521-179,291-281,743-486,647-764,731-1,972,201-3,406,529-5,353,117-37,471,819

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