Q: What are the factor combinations of the number 12,068,255?

 A:
Positive:   1 x 120682555 x 241365197 x 124415149 x 80995167 x 72265485 x 24883745 x 16199835 x 14453
Negative: -1 x -12068255-5 x -2413651-97 x -124415-149 x -80995-167 x -72265-485 x -24883-745 x -16199-835 x -14453


How do I find the factor combinations of the number 12,068,255?

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 12,068,255, 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 12,068,255
-1 -12,068,255

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 12,068,255.

Example:
1 x 12,068,255 = 12,068,255
and
-1 x -12,068,255 = 12,068,255
Notice both answers equal 12,068,255

With that explanation out of the way, let's continue. Next, we take the number 12,068,255 and divide it by 2:

12,068,255 ÷ 2 = 6,034,127.5

If the quotient is a whole number, then 2 and 6,034,127.5 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 12,068,255
-1 -12,068,255

Now, we try dividing 12,068,255 by 3:

12,068,255 ÷ 3 = 4,022,751.6667

If the quotient is a whole number, then 3 and 4,022,751.6667 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 12,068,255
-1 -12,068,255

Let's try dividing by 4:

12,068,255 ÷ 4 = 3,017,063.75

If the quotient is a whole number, then 4 and 3,017,063.75 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 12,068,255
-1 12,068,255
Keep dividing by the next highest number until you cannot divide anymore.

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

159714916748574583514,45316,19924,88372,26580,995124,4152,413,65112,068,255
-1-5-97-149-167-485-745-835-14,453-16,199-24,883-72,265-80,995-124,415-2,413,651-12,068,255

More Examples

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