Q: What are the factor combinations of the number 502,212,143?

 A:
Positive:   1 x 502212143139 x 3613037419 x 11985978623 x 58241
Negative: -1 x -502212143-139 x -3613037-419 x -1198597-8623 x -58241


How do I find the factor combinations of the number 502,212,143?

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 502,212,143, 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.

1 502,212,143
-1 -502,212,143

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 502,212,143.

Example:
1 x 502,212,143 = 502,212,143
and
-1 x -502,212,143 = 502,212,143
Notice both answers equal 502,212,143

With that explanation out of the way, let's continue. Next, we take the number 502,212,143 and divide it by 2:

502,212,143 ÷ 2 = 251,106,071.5

If the quotient is a whole number, then 2 and 251,106,071.5 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:

1 502,212,143
-1 -502,212,143

Now, we try dividing 502,212,143 by 3:

502,212,143 ÷ 3 = 167,404,047.6667

If the quotient is a whole number, then 3 and 167,404,047.6667 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:

1 502,212,143
-1 -502,212,143

Let's try dividing by 4:

502,212,143 ÷ 4 = 125,553,035.75

If the quotient is a whole number, then 4 and 125,553,035.75 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:

1 502,212,143
-1 502,212,143
Keep dividing by the next highest number until you cannot divide anymore.

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

11394198,62358,2411,198,5973,613,037502,212,143
-1-139-419-8,623-58,241-1,198,597-3,613,037-502,212,143

More Examples

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