Q: What are the factor combinations of the number 37,706,647?

 A:
Positive:   1 x 3770664711 x 3427877131 x 287837137 x 275231191 x 1974171441 x 261671507 x 250212101 x 17947
Negative: -1 x -37706647-11 x -3427877-131 x -287837-137 x -275231-191 x -197417-1441 x -26167-1507 x -25021-2101 x -17947


How do I find the factor combinations of the number 37,706,647?

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 37,706,647, 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 37,706,647
-1 -37,706,647

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 37,706,647.

Example:
1 x 37,706,647 = 37,706,647
and
-1 x -37,706,647 = 37,706,647
Notice both answers equal 37,706,647

With that explanation out of the way, let's continue. Next, we take the number 37,706,647 and divide it by 2:

37,706,647 ÷ 2 = 18,853,323.5

If the quotient is a whole number, then 2 and 18,853,323.5 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 37,706,647
-1 -37,706,647

Now, we try dividing 37,706,647 by 3:

37,706,647 ÷ 3 = 12,568,882.3333

If the quotient is a whole number, then 3 and 12,568,882.3333 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 37,706,647
-1 -37,706,647

Let's try dividing by 4:

37,706,647 ÷ 4 = 9,426,661.75

If the quotient is a whole number, then 4 and 9,426,661.75 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 37,706,647
-1 37,706,647
Keep dividing by the next highest number until you cannot divide anymore.

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

1111311371911,4411,5072,10117,94725,02126,167197,417275,231287,8373,427,87737,706,647
-1-11-131-137-191-1,441-1,507-2,101-17,947-25,021-26,167-197,417-275,231-287,837-3,427,877-37,706,647

More Examples

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