Q: What are the factor combinations of the number 4,636,825?

 A:
Positive:   1 x 46368255 x 92736525 x 18547331 x 149575155 x 29915193 x 24025775 x 5983961 x 4825965 x 4805
Negative: -1 x -4636825-5 x -927365-25 x -185473-31 x -149575-155 x -29915-193 x -24025-775 x -5983-961 x -4825-965 x -4805


How do I find the factor combinations of the number 4,636,825?

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 4,636,825, 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 4,636,825
-1 -4,636,825

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 4,636,825.

Example:
1 x 4,636,825 = 4,636,825
and
-1 x -4,636,825 = 4,636,825
Notice both answers equal 4,636,825

With that explanation out of the way, let's continue. Next, we take the number 4,636,825 and divide it by 2:

4,636,825 ÷ 2 = 2,318,412.5

If the quotient is a whole number, then 2 and 2,318,412.5 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 4,636,825
-1 -4,636,825

Now, we try dividing 4,636,825 by 3:

4,636,825 ÷ 3 = 1,545,608.3333

If the quotient is a whole number, then 3 and 1,545,608.3333 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 4,636,825
-1 -4,636,825

Let's try dividing by 4:

4,636,825 ÷ 4 = 1,159,206.25

If the quotient is a whole number, then 4 and 1,159,206.25 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 4,636,825
-1 4,636,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311551937759619654,8054,8255,98324,02529,915149,575185,473927,3654,636,825
-1-5-25-31-155-193-775-961-965-4,805-4,825-5,983-24,025-29,915-149,575-185,473-927,365-4,636,825

More Examples

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