Q: What are the factor combinations of the number 1,220,845?

 A:
Positive:   1 x 12208455 x 24416919 x 6425571 x 1719595 x 12851181 x 6745355 x 3439905 x 1349
Negative: -1 x -1220845-5 x -244169-19 x -64255-71 x -17195-95 x -12851-181 x -6745-355 x -3439-905 x -1349


How do I find the factor combinations of the number 1,220,845?

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 1,220,845, 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 1,220,845
-1 -1,220,845

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 1,220,845.

Example:
1 x 1,220,845 = 1,220,845
and
-1 x -1,220,845 = 1,220,845
Notice both answers equal 1,220,845

With that explanation out of the way, let's continue. Next, we take the number 1,220,845 and divide it by 2:

1,220,845 ÷ 2 = 610,422.5

If the quotient is a whole number, then 2 and 610,422.5 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 1,220,845
-1 -1,220,845

Now, we try dividing 1,220,845 by 3:

1,220,845 ÷ 3 = 406,948.3333

If the quotient is a whole number, then 3 and 406,948.3333 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 1,220,845
-1 -1,220,845

Let's try dividing by 4:

1,220,845 ÷ 4 = 305,211.25

If the quotient is a whole number, then 4 and 305,211.25 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 1,220,845
-1 1,220,845
Keep dividing by the next highest number until you cannot divide anymore.

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

151971951813559051,3493,4396,74512,85117,19564,255244,1691,220,845
-1-5-19-71-95-181-355-905-1,349-3,439-6,745-12,851-17,195-64,255-244,169-1,220,845

More Examples

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