Q: What are the factor combinations of the number 1,222,655?

 A:
Positive:   1 x 12226555 x 2445317 x 17466535 x 34933181 x 6755193 x 6335905 x 1351965 x 1267
Negative: -1 x -1222655-5 x -244531-7 x -174665-35 x -34933-181 x -6755-193 x -6335-905 x -1351-965 x -1267


How do I find the factor combinations of the number 1,222,655?

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 1,222,655, 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 1,222,655
-1 -1,222,655

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 1,222,655.

Example:
1 x 1,222,655 = 1,222,655
and
-1 x -1,222,655 = 1,222,655
Notice both answers equal 1,222,655

With that explanation out of the way, let's continue. Next, we take the number 1,222,655 and divide it by 2:

1,222,655 ÷ 2 = 611,327.5

If the quotient is a whole number, then 2 and 611,327.5 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 1,222,655
-1 -1,222,655

Now, we try dividing 1,222,655 by 3:

1,222,655 ÷ 3 = 407,551.6667

If the quotient is a whole number, then 3 and 407,551.6667 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 1,222,655
-1 -1,222,655

Let's try dividing by 4:

1,222,655 ÷ 4 = 305,663.75

If the quotient is a whole number, then 4 and 305,663.75 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 1,222,655
-1 1,222,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157351811939059651,2671,3516,3356,75534,933174,665244,5311,222,655
-1-5-7-35-181-193-905-965-1,267-1,351-6,335-6,755-34,933-174,665-244,531-1,222,655

More Examples

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