Q: What are the factor combinations of the number 1,199,299?

 A:
Positive:   1 x 119929917 x 7054719 x 6312147 x 2551779 x 15181323 x 3713799 x 1501893 x 1343
Negative: -1 x -1199299-17 x -70547-19 x -63121-47 x -25517-79 x -15181-323 x -3713-799 x -1501-893 x -1343


How do I find the factor combinations of the number 1,199,299?

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 1,199,299, 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 1,199,299
-1 -1,199,299

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 1,199,299.

Example:
1 x 1,199,299 = 1,199,299
and
-1 x -1,199,299 = 1,199,299
Notice both answers equal 1,199,299

With that explanation out of the way, let's continue. Next, we take the number 1,199,299 and divide it by 2:

1,199,299 ÷ 2 = 599,649.5

If the quotient is a whole number, then 2 and 599,649.5 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 1,199,299
-1 -1,199,299

Now, we try dividing 1,199,299 by 3:

1,199,299 ÷ 3 = 399,766.3333

If the quotient is a whole number, then 3 and 399,766.3333 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 1,199,299
-1 -1,199,299

Let's try dividing by 4:

1,199,299 ÷ 4 = 299,824.75

If the quotient is a whole number, then 4 and 299,824.75 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 1,199,299
-1 1,199,299
Keep dividing by the next highest number until you cannot divide anymore.

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

1171947793237998931,3431,5013,71315,18125,51763,12170,5471,199,299
-1-17-19-47-79-323-799-893-1,343-1,501-3,713-15,181-25,517-63,121-70,547-1,199,299

More Examples

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