Q: What are the factor combinations of the number 37,056,877?

 A:
Positive:   1 x 3705687711 x 336880713 x 2850529143 x 259139479 x 77363541 x 684975269 x 70335951 x 6227
Negative: -1 x -37056877-11 x -3368807-13 x -2850529-143 x -259139-479 x -77363-541 x -68497-5269 x -7033-5951 x -6227


How do I find the factor combinations of the number 37,056,877?

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 37,056,877, 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 37,056,877
-1 -37,056,877

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 37,056,877.

Example:
1 x 37,056,877 = 37,056,877
and
-1 x -37,056,877 = 37,056,877
Notice both answers equal 37,056,877

With that explanation out of the way, let's continue. Next, we take the number 37,056,877 and divide it by 2:

37,056,877 ÷ 2 = 18,528,438.5

If the quotient is a whole number, then 2 and 18,528,438.5 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 37,056,877
-1 -37,056,877

Now, we try dividing 37,056,877 by 3:

37,056,877 ÷ 3 = 12,352,292.3333

If the quotient is a whole number, then 3 and 12,352,292.3333 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 37,056,877
-1 -37,056,877

Let's try dividing by 4:

37,056,877 ÷ 4 = 9,264,219.25

If the quotient is a whole number, then 4 and 9,264,219.25 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 37,056,877
-1 37,056,877
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434795415,2695,9516,2277,03368,49777,363259,1392,850,5293,368,80737,056,877
-1-11-13-143-479-541-5,269-5,951-6,227-7,033-68,497-77,363-259,139-2,850,529-3,368,807-37,056,877

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