Q: What are the factor combinations of the number 37,731,683?

 A:
Positive:   1 x 3773168311 x 343015343 x 877481241 x 156563331 x 113993473 x 797712651 x 142333641 x 10363
Negative: -1 x -37731683-11 x -3430153-43 x -877481-241 x -156563-331 x -113993-473 x -79771-2651 x -14233-3641 x -10363


How do I find the factor combinations of the number 37,731,683?

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 37,731,683, 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 37,731,683
-1 -37,731,683

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 37,731,683.

Example:
1 x 37,731,683 = 37,731,683
and
-1 x -37,731,683 = 37,731,683
Notice both answers equal 37,731,683

With that explanation out of the way, let's continue. Next, we take the number 37,731,683 and divide it by 2:

37,731,683 ÷ 2 = 18,865,841.5

If the quotient is a whole number, then 2 and 18,865,841.5 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 37,731,683
-1 -37,731,683

Now, we try dividing 37,731,683 by 3:

37,731,683 ÷ 3 = 12,577,227.6667

If the quotient is a whole number, then 3 and 12,577,227.6667 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 37,731,683
-1 -37,731,683

Let's try dividing by 4:

37,731,683 ÷ 4 = 9,432,920.75

If the quotient is a whole number, then 4 and 9,432,920.75 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 37,731,683
-1 37,731,683
Keep dividing by the next highest number until you cannot divide anymore.

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

111432413314732,6513,64110,36314,23379,771113,993156,563877,4813,430,15337,731,683
-1-11-43-241-331-473-2,651-3,641-10,363-14,233-79,771-113,993-156,563-877,481-3,430,153-37,731,683

More Examples

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