Q: What are the factor combinations of the number 5,043,533?

 A:
Positive:   1 x 504353311 x 45850341 x 12301353 x 95161211 x 23903451 x 11183583 x 86512173 x 2321
Negative: -1 x -5043533-11 x -458503-41 x -123013-53 x -95161-211 x -23903-451 x -11183-583 x -8651-2173 x -2321


How do I find the factor combinations of the number 5,043,533?

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 5,043,533, 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 5,043,533
-1 -5,043,533

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 5,043,533.

Example:
1 x 5,043,533 = 5,043,533
and
-1 x -5,043,533 = 5,043,533
Notice both answers equal 5,043,533

With that explanation out of the way, let's continue. Next, we take the number 5,043,533 and divide it by 2:

5,043,533 ÷ 2 = 2,521,766.5

If the quotient is a whole number, then 2 and 2,521,766.5 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 5,043,533
-1 -5,043,533

Now, we try dividing 5,043,533 by 3:

5,043,533 ÷ 3 = 1,681,177.6667

If the quotient is a whole number, then 3 and 1,681,177.6667 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 5,043,533
-1 -5,043,533

Let's try dividing by 4:

5,043,533 ÷ 4 = 1,260,883.25

If the quotient is a whole number, then 4 and 1,260,883.25 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 5,043,533
-1 5,043,533
Keep dividing by the next highest number until you cannot divide anymore.

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

11141532114515832,1732,3218,65111,18323,90395,161123,013458,5035,043,533
-1-11-41-53-211-451-583-2,173-2,321-8,651-11,183-23,903-95,161-123,013-458,503-5,043,533

More Examples

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