Q: What are the factor combinations of the number 3,315,425?

 A:
Positive:   1 x 33154255 x 66308517 x 19502525 x 13261729 x 11432585 x 39005145 x 22865269 x 12325425 x 7801493 x 6725725 x 45731345 x 2465
Negative: -1 x -3315425-5 x -663085-17 x -195025-25 x -132617-29 x -114325-85 x -39005-145 x -22865-269 x -12325-425 x -7801-493 x -6725-725 x -4573-1345 x -2465


How do I find the factor combinations of the number 3,315,425?

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 3,315,425, 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 3,315,425
-1 -3,315,425

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 3,315,425.

Example:
1 x 3,315,425 = 3,315,425
and
-1 x -3,315,425 = 3,315,425
Notice both answers equal 3,315,425

With that explanation out of the way, let's continue. Next, we take the number 3,315,425 and divide it by 2:

3,315,425 ÷ 2 = 1,657,712.5

If the quotient is a whole number, then 2 and 1,657,712.5 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 3,315,425
-1 -3,315,425

Now, we try dividing 3,315,425 by 3:

3,315,425 ÷ 3 = 1,105,141.6667

If the quotient is a whole number, then 3 and 1,105,141.6667 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 3,315,425
-1 -3,315,425

Let's try dividing by 4:

3,315,425 ÷ 4 = 828,856.25

If the quotient is a whole number, then 4 and 828,856.25 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 3,315,425
-1 3,315,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15172529851452694254937251,3452,4654,5736,7257,80112,32522,86539,005114,325132,617195,025663,0853,315,425
-1-5-17-25-29-85-145-269-425-493-725-1,345-2,465-4,573-6,725-7,801-12,325-22,865-39,005-114,325-132,617-195,025-663,085-3,315,425

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