Q: What are the factor combinations of the number 1,079,995?

 A:
Positive:   1 x 10799955 x 2159997 x 15428535 x 3085759 x 18305295 x 3661413 x 2615523 x 2065
Negative: -1 x -1079995-5 x -215999-7 x -154285-35 x -30857-59 x -18305-295 x -3661-413 x -2615-523 x -2065


How do I find the factor combinations of the number 1,079,995?

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 1,079,995, 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 1,079,995
-1 -1,079,995

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 1,079,995.

Example:
1 x 1,079,995 = 1,079,995
and
-1 x -1,079,995 = 1,079,995
Notice both answers equal 1,079,995

With that explanation out of the way, let's continue. Next, we take the number 1,079,995 and divide it by 2:

1,079,995 ÷ 2 = 539,997.5

If the quotient is a whole number, then 2 and 539,997.5 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 1,079,995
-1 -1,079,995

Now, we try dividing 1,079,995 by 3:

1,079,995 ÷ 3 = 359,998.3333

If the quotient is a whole number, then 3 and 359,998.3333 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 1,079,995
-1 -1,079,995

Let's try dividing by 4:

1,079,995 ÷ 4 = 269,998.75

If the quotient is a whole number, then 4 and 269,998.75 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 1,079,995
-1 1,079,995
Keep dividing by the next highest number until you cannot divide anymore.

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

15735592954135232,0652,6153,66118,30530,857154,285215,9991,079,995
-1-5-7-35-59-295-413-523-2,065-2,615-3,661-18,305-30,857-154,285-215,999-1,079,995

More Examples

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