Q: What are the factor combinations of the number 1,118,725?

 A:
Positive:   1 x 11187255 x 22374525 x 4474973 x 15325365 x 3065613 x 1825
Negative: -1 x -1118725-5 x -223745-25 x -44749-73 x -15325-365 x -3065-613 x -1825


How do I find the factor combinations of the number 1,118,725?

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 1,118,725, 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 1,118,725
-1 -1,118,725

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 1,118,725.

Example:
1 x 1,118,725 = 1,118,725
and
-1 x -1,118,725 = 1,118,725
Notice both answers equal 1,118,725

With that explanation out of the way, let's continue. Next, we take the number 1,118,725 and divide it by 2:

1,118,725 ÷ 2 = 559,362.5

If the quotient is a whole number, then 2 and 559,362.5 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 1,118,725
-1 -1,118,725

Now, we try dividing 1,118,725 by 3:

1,118,725 ÷ 3 = 372,908.3333

If the quotient is a whole number, then 3 and 372,908.3333 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 1,118,725
-1 -1,118,725

Let's try dividing by 4:

1,118,725 ÷ 4 = 279,681.25

If the quotient is a whole number, then 4 and 279,681.25 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 1,118,725
-1 1,118,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1525733656131,8253,06515,32544,749223,7451,118,725
-1-5-25-73-365-613-1,825-3,065-15,325-44,749-223,745-1,118,725

More Examples

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