Q: What are the factor combinations of the number 7,096,445?

 A:
Positive:   1 x 70964455 x 141928929 x 244705109 x 65105145 x 48941449 x 15805545 x 130212245 x 3161
Negative: -1 x -7096445-5 x -1419289-29 x -244705-109 x -65105-145 x -48941-449 x -15805-545 x -13021-2245 x -3161


How do I find the factor combinations of the number 7,096,445?

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 7,096,445, 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 7,096,445
-1 -7,096,445

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 7,096,445.

Example:
1 x 7,096,445 = 7,096,445
and
-1 x -7,096,445 = 7,096,445
Notice both answers equal 7,096,445

With that explanation out of the way, let's continue. Next, we take the number 7,096,445 and divide it by 2:

7,096,445 ÷ 2 = 3,548,222.5

If the quotient is a whole number, then 2 and 3,548,222.5 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 7,096,445
-1 -7,096,445

Now, we try dividing 7,096,445 by 3:

7,096,445 ÷ 3 = 2,365,481.6667

If the quotient is a whole number, then 3 and 2,365,481.6667 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 7,096,445
-1 -7,096,445

Let's try dividing by 4:

7,096,445 ÷ 4 = 1,774,111.25

If the quotient is a whole number, then 4 and 1,774,111.25 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 7,096,445
-1 7,096,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15291091454495452,2453,16113,02115,80548,94165,105244,7051,419,2897,096,445
-1-5-29-109-145-449-545-2,245-3,161-13,021-15,805-48,941-65,105-244,705-1,419,289-7,096,445

More Examples

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