Q: What are the factor combinations of the number 27,342,223?

 A:
Positive:   1 x 2734222337 x 73897953 x 51589173 x 374551191 x 1431531961 x 139432701 x 101233869 x 7067
Negative: -1 x -27342223-37 x -738979-53 x -515891-73 x -374551-191 x -143153-1961 x -13943-2701 x -10123-3869 x -7067


How do I find the factor combinations of the number 27,342,223?

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 27,342,223, 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 27,342,223
-1 -27,342,223

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 27,342,223.

Example:
1 x 27,342,223 = 27,342,223
and
-1 x -27,342,223 = 27,342,223
Notice both answers equal 27,342,223

With that explanation out of the way, let's continue. Next, we take the number 27,342,223 and divide it by 2:

27,342,223 ÷ 2 = 13,671,111.5

If the quotient is a whole number, then 2 and 13,671,111.5 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 27,342,223
-1 -27,342,223

Now, we try dividing 27,342,223 by 3:

27,342,223 ÷ 3 = 9,114,074.3333

If the quotient is a whole number, then 3 and 9,114,074.3333 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 27,342,223
-1 -27,342,223

Let's try dividing by 4:

27,342,223 ÷ 4 = 6,835,555.75

If the quotient is a whole number, then 4 and 6,835,555.75 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 27,342,223
-1 27,342,223
Keep dividing by the next highest number until you cannot divide anymore.

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

13753731911,9612,7013,8697,06710,12313,943143,153374,551515,891738,97927,342,223
-1-37-53-73-191-1,961-2,701-3,869-7,067-10,123-13,943-143,153-374,551-515,891-738,979-27,342,223

More Examples

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