Q: What are the factor combinations of the number 5,300,243?

 A:
Positive:   1 x 530024313 x 40771117 x 31177929 x 182767221 x 23983377 x 14059493 x 10751827 x 6409
Negative: -1 x -5300243-13 x -407711-17 x -311779-29 x -182767-221 x -23983-377 x -14059-493 x -10751-827 x -6409


How do I find the factor combinations of the number 5,300,243?

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 5,300,243, 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 5,300,243
-1 -5,300,243

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 5,300,243.

Example:
1 x 5,300,243 = 5,300,243
and
-1 x -5,300,243 = 5,300,243
Notice both answers equal 5,300,243

With that explanation out of the way, let's continue. Next, we take the number 5,300,243 and divide it by 2:

5,300,243 ÷ 2 = 2,650,121.5

If the quotient is a whole number, then 2 and 2,650,121.5 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 5,300,243
-1 -5,300,243

Now, we try dividing 5,300,243 by 3:

5,300,243 ÷ 3 = 1,766,747.6667

If the quotient is a whole number, then 3 and 1,766,747.6667 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 5,300,243
-1 -5,300,243

Let's try dividing by 4:

5,300,243 ÷ 4 = 1,325,060.75

If the quotient is a whole number, then 4 and 1,325,060.75 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 5,300,243
-1 5,300,243
Keep dividing by the next highest number until you cannot divide anymore.

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

11317292213774938276,40910,75114,05923,983182,767311,779407,7115,300,243
-1-13-17-29-221-377-493-827-6,409-10,751-14,059-23,983-182,767-311,779-407,711-5,300,243

More Examples

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