Q: What are the factor combinations of the number 1,248,085?

 A:
Positive:   1 x 12480855 x 24961747 x 26555113 x 11045235 x 5311565 x 2209
Negative: -1 x -1248085-5 x -249617-47 x -26555-113 x -11045-235 x -5311-565 x -2209


How do I find the factor combinations of the number 1,248,085?

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 1,248,085, 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 1,248,085
-1 -1,248,085

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 1,248,085.

Example:
1 x 1,248,085 = 1,248,085
and
-1 x -1,248,085 = 1,248,085
Notice both answers equal 1,248,085

With that explanation out of the way, let's continue. Next, we take the number 1,248,085 and divide it by 2:

1,248,085 ÷ 2 = 624,042.5

If the quotient is a whole number, then 2 and 624,042.5 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 1,248,085
-1 -1,248,085

Now, we try dividing 1,248,085 by 3:

1,248,085 ÷ 3 = 416,028.3333

If the quotient is a whole number, then 3 and 416,028.3333 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 1,248,085
-1 -1,248,085

Let's try dividing by 4:

1,248,085 ÷ 4 = 312,021.25

If the quotient is a whole number, then 4 and 312,021.25 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 1,248,085
-1 1,248,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15471132355652,2095,31111,04526,555249,6171,248,085
-1-5-47-113-235-565-2,209-5,311-11,045-26,555-249,617-1,248,085

More Examples

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