Q: What are the factor combinations of the number 1,122,875?

 A:
Positive:   1 x 11228755 x 22457513 x 8637525 x 4491565 x 17275125 x 8983325 x 3455691 x 1625
Negative: -1 x -1122875-5 x -224575-13 x -86375-25 x -44915-65 x -17275-125 x -8983-325 x -3455-691 x -1625


How do I find the factor combinations of the number 1,122,875?

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 1,122,875, 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 1,122,875
-1 -1,122,875

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 1,122,875.

Example:
1 x 1,122,875 = 1,122,875
and
-1 x -1,122,875 = 1,122,875
Notice both answers equal 1,122,875

With that explanation out of the way, let's continue. Next, we take the number 1,122,875 and divide it by 2:

1,122,875 ÷ 2 = 561,437.5

If the quotient is a whole number, then 2 and 561,437.5 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 1,122,875
-1 -1,122,875

Now, we try dividing 1,122,875 by 3:

1,122,875 ÷ 3 = 374,291.6667

If the quotient is a whole number, then 3 and 374,291.6667 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 1,122,875
-1 -1,122,875

Let's try dividing by 4:

1,122,875 ÷ 4 = 280,718.75

If the quotient is a whole number, then 4 and 280,718.75 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 1,122,875
-1 1,122,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253256911,6253,4558,98317,27544,91586,375224,5751,122,875
-1-5-13-25-65-125-325-691-1,625-3,455-8,983-17,275-44,915-86,375-224,575-1,122,875

More Examples

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