Q: What are the factor combinations of the number 1,255,045?

 A:
Positive:   1 x 12550455 x 25100911 x 11409519 x 6605555 x 2281995 x 13211209 x 60051045 x 1201
Negative: -1 x -1255045-5 x -251009-11 x -114095-19 x -66055-55 x -22819-95 x -13211-209 x -6005-1045 x -1201


How do I find the factor combinations of the number 1,255,045?

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 1,255,045, 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 1,255,045
-1 -1,255,045

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 1,255,045.

Example:
1 x 1,255,045 = 1,255,045
and
-1 x -1,255,045 = 1,255,045
Notice both answers equal 1,255,045

With that explanation out of the way, let's continue. Next, we take the number 1,255,045 and divide it by 2:

1,255,045 ÷ 2 = 627,522.5

If the quotient is a whole number, then 2 and 627,522.5 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 1,255,045
-1 -1,255,045

Now, we try dividing 1,255,045 by 3:

1,255,045 ÷ 3 = 418,348.3333

If the quotient is a whole number, then 3 and 418,348.3333 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 1,255,045
-1 -1,255,045

Let's try dividing by 4:

1,255,045 ÷ 4 = 313,761.25

If the quotient is a whole number, then 4 and 313,761.25 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 1,255,045
-1 1,255,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,0451,2016,00513,21122,81966,055114,095251,0091,255,045
-1-5-11-19-55-95-209-1,045-1,201-6,005-13,211-22,819-66,055-114,095-251,009-1,255,045

More Examples

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