Q: What are the factor combinations of the number 212,000,243?

 A:
Positive:   1 x 2120002437 x 3028574913 x 1630771191 x 2329673547 x 3875693829 x 553674259 x 497777111 x 29813
Negative: -1 x -212000243-7 x -30285749-13 x -16307711-91 x -2329673-547 x -387569-3829 x -55367-4259 x -49777-7111 x -29813


How do I find the factor combinations of the number 212,000,243?

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 212,000,243, 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.

1 212,000,243
-1 -212,000,243

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 212,000,243.

Example:
1 x 212,000,243 = 212,000,243
and
-1 x -212,000,243 = 212,000,243
Notice both answers equal 212,000,243

With that explanation out of the way, let's continue. Next, we take the number 212,000,243 and divide it by 2:

212,000,243 ÷ 2 = 106,000,121.5

If the quotient is a whole number, then 2 and 106,000,121.5 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:

1 212,000,243
-1 -212,000,243

Now, we try dividing 212,000,243 by 3:

212,000,243 ÷ 3 = 70,666,747.6667

If the quotient is a whole number, then 3 and 70,666,747.6667 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:

1 212,000,243
-1 -212,000,243

Let's try dividing by 4:

212,000,243 ÷ 4 = 53,000,060.75

If the quotient is a whole number, then 4 and 53,000,060.75 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:

1 212,000,243
-1 212,000,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915473,8294,2597,11129,81349,77755,367387,5692,329,67316,307,71130,285,749212,000,243
-1-7-13-91-547-3,829-4,259-7,111-29,813-49,777-55,367-387,569-2,329,673-16,307,711-30,285,749-212,000,243

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