Q: What are the factor combinations of the number 27,060,187?

 A:
Positive:   1 x 270601877 x 386574111 x 246001777 x 35143197 x 278971679 x 398531067 x 253613623 x 7469
Negative: -1 x -27060187-7 x -3865741-11 x -2460017-77 x -351431-97 x -278971-679 x -39853-1067 x -25361-3623 x -7469


How do I find the factor combinations of the number 27,060,187?

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 27,060,187, 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 27,060,187
-1 -27,060,187

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 27,060,187.

Example:
1 x 27,060,187 = 27,060,187
and
-1 x -27,060,187 = 27,060,187
Notice both answers equal 27,060,187

With that explanation out of the way, let's continue. Next, we take the number 27,060,187 and divide it by 2:

27,060,187 ÷ 2 = 13,530,093.5

If the quotient is a whole number, then 2 and 13,530,093.5 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 27,060,187
-1 -27,060,187

Now, we try dividing 27,060,187 by 3:

27,060,187 ÷ 3 = 9,020,062.3333

If the quotient is a whole number, then 3 and 9,020,062.3333 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 27,060,187
-1 -27,060,187

Let's try dividing by 4:

27,060,187 ÷ 4 = 6,765,046.75

If the quotient is a whole number, then 4 and 6,765,046.75 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 27,060,187
-1 27,060,187
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0673,6237,46925,36139,853278,971351,4312,460,0173,865,74127,060,187
-1-7-11-77-97-679-1,067-3,623-7,469-25,361-39,853-278,971-351,431-2,460,017-3,865,741-27,060,187

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