Q: What are the factor combinations of the number 27,013,345?

 A:
Positive:   1 x 270133455 x 540266919 x 142175595 x 284351181 x 149245905 x 298491571 x 171953439 x 7855
Negative: -1 x -27013345-5 x -5402669-19 x -1421755-95 x -284351-181 x -149245-905 x -29849-1571 x -17195-3439 x -7855


How do I find the factor combinations of the number 27,013,345?

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 27,013,345, 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 27,013,345
-1 -27,013,345

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 27,013,345.

Example:
1 x 27,013,345 = 27,013,345
and
-1 x -27,013,345 = 27,013,345
Notice both answers equal 27,013,345

With that explanation out of the way, let's continue. Next, we take the number 27,013,345 and divide it by 2:

27,013,345 ÷ 2 = 13,506,672.5

If the quotient is a whole number, then 2 and 13,506,672.5 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 27,013,345
-1 -27,013,345

Now, we try dividing 27,013,345 by 3:

27,013,345 ÷ 3 = 9,004,448.3333

If the quotient is a whole number, then 3 and 9,004,448.3333 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 27,013,345
-1 -27,013,345

Let's try dividing by 4:

27,013,345 ÷ 4 = 6,753,336.25

If the quotient is a whole number, then 4 and 6,753,336.25 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 27,013,345
-1 27,013,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951819051,5713,4397,85517,19529,849149,245284,3511,421,7555,402,66927,013,345
-1-5-19-95-181-905-1,571-3,439-7,855-17,195-29,849-149,245-284,351-1,421,755-5,402,669-27,013,345

More Examples

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