Q: What are the factor combinations of the number 5,045,737?

 A:
Positive:   1 x 504573761 x 82717181 x 27877457 x 11041
Negative: -1 x -5045737-61 x -82717-181 x -27877-457 x -11041


How do I find the factor combinations of the number 5,045,737?

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 5,045,737, 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 5,045,737
-1 -5,045,737

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 5,045,737.

Example:
1 x 5,045,737 = 5,045,737
and
-1 x -5,045,737 = 5,045,737
Notice both answers equal 5,045,737

With that explanation out of the way, let's continue. Next, we take the number 5,045,737 and divide it by 2:

5,045,737 ÷ 2 = 2,522,868.5

If the quotient is a whole number, then 2 and 2,522,868.5 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 5,045,737
-1 -5,045,737

Now, we try dividing 5,045,737 by 3:

5,045,737 ÷ 3 = 1,681,912.3333

If the quotient is a whole number, then 3 and 1,681,912.3333 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 5,045,737
-1 -5,045,737

Let's try dividing by 4:

5,045,737 ÷ 4 = 1,261,434.25

If the quotient is a whole number, then 4 and 1,261,434.25 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 5,045,737
-1 5,045,737
Keep dividing by the next highest number until you cannot divide anymore.

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

16118145711,04127,87782,7175,045,737
-1-61-181-457-11,041-27,877-82,717-5,045,737

More Examples

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