Q: What are the factor combinations of the number 4,843,825?

 A:
Positive:   1 x 48438255 x 9687657 x 69197525 x 19375335 x 13839589 x 54425175 x 27679311 x 15575445 x 10885623 x 77751555 x 31152177 x 2225
Negative: -1 x -4843825-5 x -968765-7 x -691975-25 x -193753-35 x -138395-89 x -54425-175 x -27679-311 x -15575-445 x -10885-623 x -7775-1555 x -3115-2177 x -2225


How do I find the factor combinations of the number 4,843,825?

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 4,843,825, 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 4,843,825
-1 -4,843,825

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 4,843,825.

Example:
1 x 4,843,825 = 4,843,825
and
-1 x -4,843,825 = 4,843,825
Notice both answers equal 4,843,825

With that explanation out of the way, let's continue. Next, we take the number 4,843,825 and divide it by 2:

4,843,825 ÷ 2 = 2,421,912.5

If the quotient is a whole number, then 2 and 2,421,912.5 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 4,843,825
-1 -4,843,825

Now, we try dividing 4,843,825 by 3:

4,843,825 ÷ 3 = 1,614,608.3333

If the quotient is a whole number, then 3 and 1,614,608.3333 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 4,843,825
-1 -4,843,825

Let's try dividing by 4:

4,843,825 ÷ 4 = 1,210,956.25

If the quotient is a whole number, then 4 and 1,210,956.25 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 4,843,825
-1 4,843,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535891753114456231,5552,1772,2253,1157,77510,88515,57527,67954,425138,395193,753691,975968,7654,843,825
-1-5-7-25-35-89-175-311-445-623-1,555-2,177-2,225-3,115-7,775-10,885-15,575-27,679-54,425-138,395-193,753-691,975-968,765-4,843,825

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