Q: What are the factor combinations of the number 26,731,229?

 A:
Positive:   1 x 267312297 x 381874783 x 322063139 x 192311331 x 80759581 x 46009973 x 274732317 x 11537
Negative: -1 x -26731229-7 x -3818747-83 x -322063-139 x -192311-331 x -80759-581 x -46009-973 x -27473-2317 x -11537


How do I find the factor combinations of the number 26,731,229?

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 26,731,229, 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 26,731,229
-1 -26,731,229

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 26,731,229.

Example:
1 x 26,731,229 = 26,731,229
and
-1 x -26,731,229 = 26,731,229
Notice both answers equal 26,731,229

With that explanation out of the way, let's continue. Next, we take the number 26,731,229 and divide it by 2:

26,731,229 ÷ 2 = 13,365,614.5

If the quotient is a whole number, then 2 and 13,365,614.5 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 26,731,229
-1 -26,731,229

Now, we try dividing 26,731,229 by 3:

26,731,229 ÷ 3 = 8,910,409.6667

If the quotient is a whole number, then 3 and 8,910,409.6667 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 26,731,229
-1 -26,731,229

Let's try dividing by 4:

26,731,229 ÷ 4 = 6,682,807.25

If the quotient is a whole number, then 4 and 6,682,807.25 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 26,731,229
-1 26,731,229
Keep dividing by the next highest number until you cannot divide anymore.

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

17831393315819732,31711,53727,47346,00980,759192,311322,0633,818,74726,731,229
-1-7-83-139-331-581-973-2,317-11,537-27,473-46,009-80,759-192,311-322,063-3,818,747-26,731,229

More Examples

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