Q: What are the factor combinations of the number 3,707,755?

 A:
Positive:   1 x 37077555 x 74155119 x 19514531 x 11960595 x 39029155 x 23921589 x 62951259 x 2945
Negative: -1 x -3707755-5 x -741551-19 x -195145-31 x -119605-95 x -39029-155 x -23921-589 x -6295-1259 x -2945


How do I find the factor combinations of the number 3,707,755?

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 3,707,755, 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 3,707,755
-1 -3,707,755

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 3,707,755.

Example:
1 x 3,707,755 = 3,707,755
and
-1 x -3,707,755 = 3,707,755
Notice both answers equal 3,707,755

With that explanation out of the way, let's continue. Next, we take the number 3,707,755 and divide it by 2:

3,707,755 ÷ 2 = 1,853,877.5

If the quotient is a whole number, then 2 and 1,853,877.5 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 3,707,755
-1 -3,707,755

Now, we try dividing 3,707,755 by 3:

3,707,755 ÷ 3 = 1,235,918.3333

If the quotient is a whole number, then 3 and 1,235,918.3333 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 3,707,755
-1 -3,707,755

Let's try dividing by 4:

3,707,755 ÷ 4 = 926,938.75

If the quotient is a whole number, then 4 and 926,938.75 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 3,707,755
-1 3,707,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555891,2592,9456,29523,92139,029119,605195,145741,5513,707,755
-1-5-19-31-95-155-589-1,259-2,945-6,295-23,921-39,029-119,605-195,145-741,551-3,707,755

More Examples

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