Q: What are the factor combinations of the number 5,015,521?

 A:
Positive:   1 x 50155217 x 71650329 x 17294931 x 161791203 x 24707217 x 23113797 x 6293899 x 5579
Negative: -1 x -5015521-7 x -716503-29 x -172949-31 x -161791-203 x -24707-217 x -23113-797 x -6293-899 x -5579


How do I find the factor combinations of the number 5,015,521?

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 5,015,521, 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 5,015,521
-1 -5,015,521

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 5,015,521.

Example:
1 x 5,015,521 = 5,015,521
and
-1 x -5,015,521 = 5,015,521
Notice both answers equal 5,015,521

With that explanation out of the way, let's continue. Next, we take the number 5,015,521 and divide it by 2:

5,015,521 ÷ 2 = 2,507,760.5

If the quotient is a whole number, then 2 and 2,507,760.5 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 5,015,521
-1 -5,015,521

Now, we try dividing 5,015,521 by 3:

5,015,521 ÷ 3 = 1,671,840.3333

If the quotient is a whole number, then 3 and 1,671,840.3333 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 5,015,521
-1 -5,015,521

Let's try dividing by 4:

5,015,521 ÷ 4 = 1,253,880.25

If the quotient is a whole number, then 4 and 1,253,880.25 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 5,015,521
-1 5,015,521
Keep dividing by the next highest number until you cannot divide anymore.

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

1729312032177978995,5796,29323,11324,707161,791172,949716,5035,015,521
-1-7-29-31-203-217-797-899-5,579-6,293-23,113-24,707-161,791-172,949-716,503-5,015,521

More Examples

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