Q: What are the factor combinations of the number 5,038,735?

 A:
Positive:   1 x 50387355 x 100774713 x 38759565 x 7751967 x 7520589 x 56615169 x 29815335 x 15041445 x 11323845 x 5963871 x 57851157 x 4355
Negative: -1 x -5038735-5 x -1007747-13 x -387595-65 x -77519-67 x -75205-89 x -56615-169 x -29815-335 x -15041-445 x -11323-845 x -5963-871 x -5785-1157 x -4355


How do I find the factor combinations of the number 5,038,735?

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 5,038,735, 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 5,038,735
-1 -5,038,735

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 5,038,735.

Example:
1 x 5,038,735 = 5,038,735
and
-1 x -5,038,735 = 5,038,735
Notice both answers equal 5,038,735

With that explanation out of the way, let's continue. Next, we take the number 5,038,735 and divide it by 2:

5,038,735 ÷ 2 = 2,519,367.5

If the quotient is a whole number, then 2 and 2,519,367.5 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 5,038,735
-1 -5,038,735

Now, we try dividing 5,038,735 by 3:

5,038,735 ÷ 3 = 1,679,578.3333

If the quotient is a whole number, then 3 and 1,679,578.3333 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 5,038,735
-1 -5,038,735

Let's try dividing by 4:

5,038,735 ÷ 4 = 1,259,683.75

If the quotient is a whole number, then 4 and 1,259,683.75 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 5,038,735
-1 5,038,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15136567891693354458458711,1574,3555,7855,96311,32315,04129,81556,61575,20577,519387,5951,007,7475,038,735
-1-5-13-65-67-89-169-335-445-845-871-1,157-4,355-5,785-5,963-11,323-15,041-29,815-56,615-75,205-77,519-387,595-1,007,747-5,038,735

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