Q: What are the factor combinations of the number 1,317,755?

 A:
Positive:   1 x 13177555 x 26355117 x 7751537 x 3561585 x 15503185 x 7123419 x 3145629 x 2095
Negative: -1 x -1317755-5 x -263551-17 x -77515-37 x -35615-85 x -15503-185 x -7123-419 x -3145-629 x -2095


How do I find the factor combinations of the number 1,317,755?

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 1,317,755, 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 1,317,755
-1 -1,317,755

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 1,317,755.

Example:
1 x 1,317,755 = 1,317,755
and
-1 x -1,317,755 = 1,317,755
Notice both answers equal 1,317,755

With that explanation out of the way, let's continue. Next, we take the number 1,317,755 and divide it by 2:

1,317,755 ÷ 2 = 658,877.5

If the quotient is a whole number, then 2 and 658,877.5 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 1,317,755
-1 -1,317,755

Now, we try dividing 1,317,755 by 3:

1,317,755 ÷ 3 = 439,251.6667

If the quotient is a whole number, then 3 and 439,251.6667 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 1,317,755
-1 -1,317,755

Let's try dividing by 4:

1,317,755 ÷ 4 = 329,438.75

If the quotient is a whole number, then 4 and 329,438.75 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 1,317,755
-1 1,317,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851854196292,0953,1457,12315,50335,61577,515263,5511,317,755
-1-5-17-37-85-185-419-629-2,095-3,145-7,123-15,503-35,615-77,515-263,551-1,317,755

More Examples

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