Q: What are the factor combinations of the number 243,010,229?

 A:
Positive:   1 x 2430102297 x 3471574711 x 2209183977 x 3155977113 x 2150533121 x 2008349791 x 307219847 x 2869071243 x 1955032539 x 957118701 x 2792913673 x 17773
Negative: -1 x -243010229-7 x -34715747-11 x -22091839-77 x -3155977-113 x -2150533-121 x -2008349-791 x -307219-847 x -286907-1243 x -195503-2539 x -95711-8701 x -27929-13673 x -17773


How do I find the factor combinations of the number 243,010,229?

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 243,010,229, 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.

1 243,010,229
-1 -243,010,229

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 243,010,229.

Example:
1 x 243,010,229 = 243,010,229
and
-1 x -243,010,229 = 243,010,229
Notice both answers equal 243,010,229

With that explanation out of the way, let's continue. Next, we take the number 243,010,229 and divide it by 2:

243,010,229 ÷ 2 = 121,505,114.5

If the quotient is a whole number, then 2 and 121,505,114.5 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:

1 243,010,229
-1 -243,010,229

Now, we try dividing 243,010,229 by 3:

243,010,229 ÷ 3 = 81,003,409.6667

If the quotient is a whole number, then 3 and 81,003,409.6667 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:

1 243,010,229
-1 -243,010,229

Let's try dividing by 4:

243,010,229 ÷ 4 = 60,752,557.25

If the quotient is a whole number, then 4 and 60,752,557.25 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:

1 243,010,229
-1 243,010,229
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771131217918471,2432,5398,70113,67317,77327,92995,711195,503286,907307,2192,008,3492,150,5333,155,97722,091,83934,715,747243,010,229
-1-7-11-77-113-121-791-847-1,243-2,539-8,701-13,673-17,773-27,929-95,711-195,503-286,907-307,219-2,008,349-2,150,533-3,155,977-22,091,839-34,715,747-243,010,229

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