Q: What are the factor combinations of the number 27,042,857?

 A:
Positive:   1 x 270428573079 x 8783
Negative: -1 x -27042857-3079 x -8783


How do I find the factor combinations of the number 27,042,857?

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 27,042,857, 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 27,042,857
-1 -27,042,857

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 27,042,857.

Example:
1 x 27,042,857 = 27,042,857
and
-1 x -27,042,857 = 27,042,857
Notice both answers equal 27,042,857

With that explanation out of the way, let's continue. Next, we take the number 27,042,857 and divide it by 2:

27,042,857 ÷ 2 = 13,521,428.5

If the quotient is a whole number, then 2 and 13,521,428.5 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 27,042,857
-1 -27,042,857

Now, we try dividing 27,042,857 by 3:

27,042,857 ÷ 3 = 9,014,285.6667

If the quotient is a whole number, then 3 and 9,014,285.6667 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 27,042,857
-1 -27,042,857

Let's try dividing by 4:

27,042,857 ÷ 4 = 6,760,714.25

If the quotient is a whole number, then 4 and 6,760,714.25 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 27,042,857
-1 27,042,857
Keep dividing by the next highest number until you cannot divide anymore.

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

13,0798,78327,042,857
-1-3,079-8,783-27,042,857

More Examples

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