Q: What are the factor combinations of the number 1,338,755?

 A:
Positive:   1 x 13387555 x 26775111 x 12170555 x 24341101 x 13255241 x 5555505 x 26511111 x 1205
Negative: -1 x -1338755-5 x -267751-11 x -121705-55 x -24341-101 x -13255-241 x -5555-505 x -2651-1111 x -1205


How do I find the factor combinations of the number 1,338,755?

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 1,338,755, 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 1,338,755
-1 -1,338,755

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 1,338,755.

Example:
1 x 1,338,755 = 1,338,755
and
-1 x -1,338,755 = 1,338,755
Notice both answers equal 1,338,755

With that explanation out of the way, let's continue. Next, we take the number 1,338,755 and divide it by 2:

1,338,755 ÷ 2 = 669,377.5

If the quotient is a whole number, then 2 and 669,377.5 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 1,338,755
-1 -1,338,755

Now, we try dividing 1,338,755 by 3:

1,338,755 ÷ 3 = 446,251.6667

If the quotient is a whole number, then 3 and 446,251.6667 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 1,338,755
-1 -1,338,755

Let's try dividing by 4:

1,338,755 ÷ 4 = 334,688.75

If the quotient is a whole number, then 4 and 334,688.75 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 1,338,755
-1 1,338,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551012415051,1111,2052,6515,55513,25524,341121,705267,7511,338,755
-1-5-11-55-101-241-505-1,111-1,205-2,651-5,555-13,255-24,341-121,705-267,751-1,338,755

More Examples

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