Q: What are the factor combinations of the number 18,459,625?

 A:
Positive:   1 x 184596255 x 369192525 x 73838559 x 312875125 x 147677295 x 625751475 x 125152503 x 7375
Negative: -1 x -18459625-5 x -3691925-25 x -738385-59 x -312875-125 x -147677-295 x -62575-1475 x -12515-2503 x -7375


How do I find the factor combinations of the number 18,459,625?

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 18,459,625, 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 18,459,625
-1 -18,459,625

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 18,459,625.

Example:
1 x 18,459,625 = 18,459,625
and
-1 x -18,459,625 = 18,459,625
Notice both answers equal 18,459,625

With that explanation out of the way, let's continue. Next, we take the number 18,459,625 and divide it by 2:

18,459,625 ÷ 2 = 9,229,812.5

If the quotient is a whole number, then 2 and 9,229,812.5 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 18,459,625
-1 -18,459,625

Now, we try dividing 18,459,625 by 3:

18,459,625 ÷ 3 = 6,153,208.3333

If the quotient is a whole number, then 3 and 6,153,208.3333 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 18,459,625
-1 -18,459,625

Let's try dividing by 4:

18,459,625 ÷ 4 = 4,614,906.25

If the quotient is a whole number, then 4 and 4,614,906.25 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 18,459,625
-1 18,459,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525591252951,4752,5037,37512,51562,575147,677312,875738,3853,691,92518,459,625
-1-5-25-59-125-295-1,475-2,503-7,375-12,515-62,575-147,677-312,875-738,385-3,691,925-18,459,625

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