Q: What are the factor combinations of the number 5,020,673?

 A:
Positive:   1 x 50206737 x 717239239 x 210071673 x 3001
Negative: -1 x -5020673-7 x -717239-239 x -21007-1673 x -3001


How do I find the factor combinations of the number 5,020,673?

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 5,020,673, 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 5,020,673
-1 -5,020,673

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 5,020,673.

Example:
1 x 5,020,673 = 5,020,673
and
-1 x -5,020,673 = 5,020,673
Notice both answers equal 5,020,673

With that explanation out of the way, let's continue. Next, we take the number 5,020,673 and divide it by 2:

5,020,673 ÷ 2 = 2,510,336.5

If the quotient is a whole number, then 2 and 2,510,336.5 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 5,020,673
-1 -5,020,673

Now, we try dividing 5,020,673 by 3:

5,020,673 ÷ 3 = 1,673,557.6667

If the quotient is a whole number, then 3 and 1,673,557.6667 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 5,020,673
-1 -5,020,673

Let's try dividing by 4:

5,020,673 ÷ 4 = 1,255,168.25

If the quotient is a whole number, then 4 and 1,255,168.25 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 5,020,673
-1 5,020,673
Keep dividing by the next highest number until you cannot divide anymore.

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

172391,6733,00121,007717,2395,020,673
-1-7-239-1,673-3,001-21,007-717,239-5,020,673

More Examples

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