Q: What are the factor combinations of the number 1,363,775?

 A:
Positive:   1 x 13637755 x 2727557 x 19482525 x 5455135 x 38965175 x 7793
Negative: -1 x -1363775-5 x -272755-7 x -194825-25 x -54551-35 x -38965-175 x -7793


How do I find the factor combinations of the number 1,363,775?

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 1,363,775, 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 1,363,775
-1 -1,363,775

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 1,363,775.

Example:
1 x 1,363,775 = 1,363,775
and
-1 x -1,363,775 = 1,363,775
Notice both answers equal 1,363,775

With that explanation out of the way, let's continue. Next, we take the number 1,363,775 and divide it by 2:

1,363,775 ÷ 2 = 681,887.5

If the quotient is a whole number, then 2 and 681,887.5 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 1,363,775
-1 -1,363,775

Now, we try dividing 1,363,775 by 3:

1,363,775 ÷ 3 = 454,591.6667

If the quotient is a whole number, then 3 and 454,591.6667 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 1,363,775
-1 -1,363,775

Let's try dividing by 4:

1,363,775 ÷ 4 = 340,943.75

If the quotient is a whole number, then 4 and 340,943.75 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 1,363,775
-1 1,363,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351757,79338,96554,551194,825272,7551,363,775
-1-5-7-25-35-175-7,793-38,965-54,551-194,825-272,755-1,363,775

More Examples

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