Q: What are the factor combinations of the number 8,839,925?

 A:
Positive:   1 x 88399255 x 176798525 x 35359729 x 30482589 x 99325137 x 64525145 x 60965445 x 19865685 x 12905725 x 121932225 x 39732581 x 3425
Negative: -1 x -8839925-5 x -1767985-25 x -353597-29 x -304825-89 x -99325-137 x -64525-145 x -60965-445 x -19865-685 x -12905-725 x -12193-2225 x -3973-2581 x -3425


How do I find the factor combinations of the number 8,839,925?

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 8,839,925, 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 8,839,925
-1 -8,839,925

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 8,839,925.

Example:
1 x 8,839,925 = 8,839,925
and
-1 x -8,839,925 = 8,839,925
Notice both answers equal 8,839,925

With that explanation out of the way, let's continue. Next, we take the number 8,839,925 and divide it by 2:

8,839,925 ÷ 2 = 4,419,962.5

If the quotient is a whole number, then 2 and 4,419,962.5 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 8,839,925
-1 -8,839,925

Now, we try dividing 8,839,925 by 3:

8,839,925 ÷ 3 = 2,946,641.6667

If the quotient is a whole number, then 3 and 2,946,641.6667 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 8,839,925
-1 -8,839,925

Let's try dividing by 4:

8,839,925 ÷ 4 = 2,209,981.25

If the quotient is a whole number, then 4 and 2,209,981.25 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 8,839,925
-1 8,839,925
Keep dividing by the next highest number until you cannot divide anymore.

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

152529891371454456857252,2252,5813,4253,97312,19312,90519,86560,96564,52599,325304,825353,5971,767,9858,839,925
-1-5-25-29-89-137-145-445-685-725-2,225-2,581-3,425-3,973-12,193-12,905-19,865-60,965-64,525-99,325-304,825-353,597-1,767,985-8,839,925

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