Q: What are the factor combinations of the number 27,217,393?

 A:
Positive:   1 x 272173937 x 388819949 x 55545773 x 372841343 x 79351511 x 532631087 x 250393577 x 7609
Negative: -1 x -27217393-7 x -3888199-49 x -555457-73 x -372841-343 x -79351-511 x -53263-1087 x -25039-3577 x -7609


How do I find the factor combinations of the number 27,217,393?

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 27,217,393, 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 27,217,393
-1 -27,217,393

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 27,217,393.

Example:
1 x 27,217,393 = 27,217,393
and
-1 x -27,217,393 = 27,217,393
Notice both answers equal 27,217,393

With that explanation out of the way, let's continue. Next, we take the number 27,217,393 and divide it by 2:

27,217,393 ÷ 2 = 13,608,696.5

If the quotient is a whole number, then 2 and 13,608,696.5 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 27,217,393
-1 -27,217,393

Now, we try dividing 27,217,393 by 3:

27,217,393 ÷ 3 = 9,072,464.3333

If the quotient is a whole number, then 3 and 9,072,464.3333 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 27,217,393
-1 -27,217,393

Let's try dividing by 4:

27,217,393 ÷ 4 = 6,804,348.25

If the quotient is a whole number, then 4 and 6,804,348.25 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 27,217,393
-1 27,217,393
Keep dividing by the next highest number until you cannot divide anymore.

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

1749733435111,0873,5777,60925,03953,26379,351372,841555,4573,888,19927,217,393
-1-7-49-73-343-511-1,087-3,577-7,609-25,039-53,263-79,351-372,841-555,457-3,888,199-27,217,393

More Examples

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