Q: What are the factor combinations of the number 6,992,875?

 A:
Positive:   1 x 69928755 x 139857525 x 27971543 x 162625125 x 55943215 x 325251075 x 65051301 x 5375
Negative: -1 x -6992875-5 x -1398575-25 x -279715-43 x -162625-125 x -55943-215 x -32525-1075 x -6505-1301 x -5375


How do I find the factor combinations of the number 6,992,875?

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 6,992,875, 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 6,992,875
-1 -6,992,875

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 6,992,875.

Example:
1 x 6,992,875 = 6,992,875
and
-1 x -6,992,875 = 6,992,875
Notice both answers equal 6,992,875

With that explanation out of the way, let's continue. Next, we take the number 6,992,875 and divide it by 2:

6,992,875 ÷ 2 = 3,496,437.5

If the quotient is a whole number, then 2 and 3,496,437.5 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 6,992,875
-1 -6,992,875

Now, we try dividing 6,992,875 by 3:

6,992,875 ÷ 3 = 2,330,958.3333

If the quotient is a whole number, then 3 and 2,330,958.3333 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 6,992,875
-1 -6,992,875

Let's try dividing by 4:

6,992,875 ÷ 4 = 1,748,218.75

If the quotient is a whole number, then 4 and 1,748,218.75 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 6,992,875
-1 6,992,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431252151,0751,3015,3756,50532,52555,943162,625279,7151,398,5756,992,875
-1-5-25-43-125-215-1,075-1,301-5,375-6,505-32,525-55,943-162,625-279,715-1,398,575-6,992,875

More Examples

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