Q: What are the factor combinations of the number 243,020,317?

 A:
Positive:   1 x 24302031719 x 1279054353 x 4585289373 x 651529647 x 3756111007 x 2413317087 x 3429112293 x 19769
Negative: -1 x -243020317-19 x -12790543-53 x -4585289-373 x -651529-647 x -375611-1007 x -241331-7087 x -34291-12293 x -19769


How do I find the factor combinations of the number 243,020,317?

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 243,020,317, 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.

1 243,020,317
-1 -243,020,317

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 243,020,317.

Example:
1 x 243,020,317 = 243,020,317
and
-1 x -243,020,317 = 243,020,317
Notice both answers equal 243,020,317

With that explanation out of the way, let's continue. Next, we take the number 243,020,317 and divide it by 2:

243,020,317 ÷ 2 = 121,510,158.5

If the quotient is a whole number, then 2 and 121,510,158.5 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:

1 243,020,317
-1 -243,020,317

Now, we try dividing 243,020,317 by 3:

243,020,317 ÷ 3 = 81,006,772.3333

If the quotient is a whole number, then 3 and 81,006,772.3333 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:

1 243,020,317
-1 -243,020,317

Let's try dividing by 4:

243,020,317 ÷ 4 = 60,755,079.25

If the quotient is a whole number, then 4 and 60,755,079.25 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:

1 243,020,317
-1 243,020,317
Keep dividing by the next highest number until you cannot divide anymore.

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

119533736471,0077,08712,29319,76934,291241,331375,611651,5294,585,28912,790,543243,020,317
-1-19-53-373-647-1,007-7,087-12,293-19,769-34,291-241,331-375,611-651,529-4,585,289-12,790,543-243,020,317

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