Q: What are the factor combinations of the number 5,043,625?

 A:
Positive:   1 x 50436255 x 100872525 x 201745125 x 40349157 x 32125257 x 19625785 x 64251285 x 3925
Negative: -1 x -5043625-5 x -1008725-25 x -201745-125 x -40349-157 x -32125-257 x -19625-785 x -6425-1285 x -3925


How do I find the factor combinations of the number 5,043,625?

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 5,043,625, 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 5,043,625
-1 -5,043,625

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 5,043,625.

Example:
1 x 5,043,625 = 5,043,625
and
-1 x -5,043,625 = 5,043,625
Notice both answers equal 5,043,625

With that explanation out of the way, let's continue. Next, we take the number 5,043,625 and divide it by 2:

5,043,625 ÷ 2 = 2,521,812.5

If the quotient is a whole number, then 2 and 2,521,812.5 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 5,043,625
-1 -5,043,625

Now, we try dividing 5,043,625 by 3:

5,043,625 ÷ 3 = 1,681,208.3333

If the quotient is a whole number, then 3 and 1,681,208.3333 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 5,043,625
-1 -5,043,625

Let's try dividing by 4:

5,043,625 ÷ 4 = 1,260,906.25

If the quotient is a whole number, then 4 and 1,260,906.25 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 5,043,625
-1 5,043,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251572577851,2853,9256,42519,62532,12540,349201,7451,008,7255,043,625
-1-5-25-125-157-257-785-1,285-3,925-6,425-19,625-32,125-40,349-201,745-1,008,725-5,043,625

More Examples

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