Q: What are the factor combinations of the number 6,896,015?

 A:
Positive:   1 x 68960155 x 13792037 x 98514535 x 19702949 x 140735245 x 28147343 x 201051715 x 4021
Negative: -1 x -6896015-5 x -1379203-7 x -985145-35 x -197029-49 x -140735-245 x -28147-343 x -20105-1715 x -4021


How do I find the factor combinations of the number 6,896,015?

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 6,896,015, 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 6,896,015
-1 -6,896,015

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 6,896,015.

Example:
1 x 6,896,015 = 6,896,015
and
-1 x -6,896,015 = 6,896,015
Notice both answers equal 6,896,015

With that explanation out of the way, let's continue. Next, we take the number 6,896,015 and divide it by 2:

6,896,015 ÷ 2 = 3,448,007.5

If the quotient is a whole number, then 2 and 3,448,007.5 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 6,896,015
-1 -6,896,015

Now, we try dividing 6,896,015 by 3:

6,896,015 ÷ 3 = 2,298,671.6667

If the quotient is a whole number, then 3 and 2,298,671.6667 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 6,896,015
-1 -6,896,015

Let's try dividing by 4:

6,896,015 ÷ 4 = 1,724,003.75

If the quotient is a whole number, then 4 and 1,724,003.75 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 6,896,015
-1 6,896,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7154,02120,10528,147140,735197,029985,1451,379,2036,896,015
-1-5-7-35-49-245-343-1,715-4,021-20,105-28,147-140,735-197,029-985,145-1,379,203-6,896,015

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