Q: What are the factor combinations of the number 123,562,285?

 A:
Positive:   1 x 1235622855 x 247124577 x 1765175511 x 1123293535 x 353035155 x 224658777 x 1604705385 x 320941
Negative: -1 x -123562285-5 x -24712457-7 x -17651755-11 x -11232935-35 x -3530351-55 x -2246587-77 x -1604705-385 x -320941


How do I find the factor combinations of the number 123,562,285?

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 123,562,285, 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.

1 123,562,285
-1 -123,562,285

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 123,562,285.

Example:
1 x 123,562,285 = 123,562,285
and
-1 x -123,562,285 = 123,562,285
Notice both answers equal 123,562,285

With that explanation out of the way, let's continue. Next, we take the number 123,562,285 and divide it by 2:

123,562,285 ÷ 2 = 61,781,142.5

If the quotient is a whole number, then 2 and 61,781,142.5 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:

1 123,562,285
-1 -123,562,285

Now, we try dividing 123,562,285 by 3:

123,562,285 ÷ 3 = 41,187,428.3333

If the quotient is a whole number, then 3 and 41,187,428.3333 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:

1 123,562,285
-1 -123,562,285

Let's try dividing by 4:

123,562,285 ÷ 4 = 30,890,571.25

If the quotient is a whole number, then 4 and 30,890,571.25 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:

1 123,562,285
-1 123,562,285
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385320,9411,604,7052,246,5873,530,35111,232,93517,651,75524,712,457123,562,285
-1-5-7-11-35-55-77-385-320,941-1,604,705-2,246,587-3,530,351-11,232,935-17,651,755-24,712,457-123,562,285

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