Q: What are the factor combinations of the number 27,444,137?

 A:
Positive:   1 x 274441377 x 392059117 x 1614361119 x 230623211 x 1300671093 x 251091477 x 185813587 x 7651
Negative: -1 x -27444137-7 x -3920591-17 x -1614361-119 x -230623-211 x -130067-1093 x -25109-1477 x -18581-3587 x -7651


How do I find the factor combinations of the number 27,444,137?

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 27,444,137, 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 27,444,137
-1 -27,444,137

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 27,444,137.

Example:
1 x 27,444,137 = 27,444,137
and
-1 x -27,444,137 = 27,444,137
Notice both answers equal 27,444,137

With that explanation out of the way, let's continue. Next, we take the number 27,444,137 and divide it by 2:

27,444,137 ÷ 2 = 13,722,068.5

If the quotient is a whole number, then 2 and 13,722,068.5 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 27,444,137
-1 -27,444,137

Now, we try dividing 27,444,137 by 3:

27,444,137 ÷ 3 = 9,148,045.6667

If the quotient is a whole number, then 3 and 9,148,045.6667 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 27,444,137
-1 -27,444,137

Let's try dividing by 4:

27,444,137 ÷ 4 = 6,861,034.25

If the quotient is a whole number, then 4 and 6,861,034.25 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 27,444,137
-1 27,444,137
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192111,0931,4773,5877,65118,58125,109130,067230,6231,614,3613,920,59127,444,137
-1-7-17-119-211-1,093-1,477-3,587-7,651-18,581-25,109-130,067-230,623-1,614,361-3,920,591-27,444,137

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