Q: What are the factor combinations of the number 7,025,369?

 A:
Positive:   1 x 702536913 x 54041317 x 41325783 x 84643221 x 31789383 x 183431079 x 65111411 x 4979
Negative: -1 x -7025369-13 x -540413-17 x -413257-83 x -84643-221 x -31789-383 x -18343-1079 x -6511-1411 x -4979


How do I find the factor combinations of the number 7,025,369?

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 7,025,369, 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 7,025,369
-1 -7,025,369

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 7,025,369.

Example:
1 x 7,025,369 = 7,025,369
and
-1 x -7,025,369 = 7,025,369
Notice both answers equal 7,025,369

With that explanation out of the way, let's continue. Next, we take the number 7,025,369 and divide it by 2:

7,025,369 ÷ 2 = 3,512,684.5

If the quotient is a whole number, then 2 and 3,512,684.5 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 7,025,369
-1 -7,025,369

Now, we try dividing 7,025,369 by 3:

7,025,369 ÷ 3 = 2,341,789.6667

If the quotient is a whole number, then 3 and 2,341,789.6667 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 7,025,369
-1 -7,025,369

Let's try dividing by 4:

7,025,369 ÷ 4 = 1,756,342.25

If the quotient is a whole number, then 4 and 1,756,342.25 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 7,025,369
-1 7,025,369
Keep dividing by the next highest number until you cannot divide anymore.

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

11317832213831,0791,4114,9796,51118,34331,78984,643413,257540,4137,025,369
-1-13-17-83-221-383-1,079-1,411-4,979-6,511-18,343-31,789-84,643-413,257-540,413-7,025,369

More Examples

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