Q: What are the factor combinations of the number 502,213,847?

 A:
Positive:   1 x 50221384717 x 2954199147 x 10685401421 x 1192907799 x 6285531493 x 3363797157 x 7017119787 x 25381
Negative: -1 x -502213847-17 x -29541991-47 x -10685401-421 x -1192907-799 x -628553-1493 x -336379-7157 x -70171-19787 x -25381


How do I find the factor combinations of the number 502,213,847?

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 502,213,847, 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.

1 502,213,847
-1 -502,213,847

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 502,213,847.

Example:
1 x 502,213,847 = 502,213,847
and
-1 x -502,213,847 = 502,213,847
Notice both answers equal 502,213,847

With that explanation out of the way, let's continue. Next, we take the number 502,213,847 and divide it by 2:

502,213,847 ÷ 2 = 251,106,923.5

If the quotient is a whole number, then 2 and 251,106,923.5 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:

1 502,213,847
-1 -502,213,847

Now, we try dividing 502,213,847 by 3:

502,213,847 ÷ 3 = 167,404,615.6667

If the quotient is a whole number, then 3 and 167,404,615.6667 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:

1 502,213,847
-1 -502,213,847

Let's try dividing by 4:

502,213,847 ÷ 4 = 125,553,461.75

If the quotient is a whole number, then 4 and 125,553,461.75 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:

1 502,213,847
-1 502,213,847
Keep dividing by the next highest number until you cannot divide anymore.

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

117474217991,4937,15719,78725,38170,171336,379628,5531,192,90710,685,40129,541,991502,213,847
-1-17-47-421-799-1,493-7,157-19,787-25,381-70,171-336,379-628,553-1,192,907-10,685,401-29,541,991-502,213,847

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