Q: What are the factor combinations of the number 204,024,223?

 A:
Positive:   1 x 20402422313 x 1569417119 x 1073811789 x 2292407247 x 8260091157 x 1763391691 x 1206539281 x 21983
Negative: -1 x -204024223-13 x -15694171-19 x -10738117-89 x -2292407-247 x -826009-1157 x -176339-1691 x -120653-9281 x -21983


How do I find the factor combinations of the number 204,024,223?

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 204,024,223, 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.

1 204,024,223
-1 -204,024,223

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 204,024,223.

Example:
1 x 204,024,223 = 204,024,223
and
-1 x -204,024,223 = 204,024,223
Notice both answers equal 204,024,223

With that explanation out of the way, let's continue. Next, we take the number 204,024,223 and divide it by 2:

204,024,223 ÷ 2 = 102,012,111.5

If the quotient is a whole number, then 2 and 102,012,111.5 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:

1 204,024,223
-1 -204,024,223

Now, we try dividing 204,024,223 by 3:

204,024,223 ÷ 3 = 68,008,074.3333

If the quotient is a whole number, then 3 and 68,008,074.3333 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:

1 204,024,223
-1 -204,024,223

Let's try dividing by 4:

204,024,223 ÷ 4 = 51,006,055.75

If the quotient is a whole number, then 4 and 51,006,055.75 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:

1 204,024,223
-1 204,024,223
Keep dividing by the next highest number until you cannot divide anymore.

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

11319892471,1571,6919,28121,983120,653176,339826,0092,292,40710,738,11715,694,171204,024,223
-1-13-19-89-247-1,157-1,691-9,281-21,983-120,653-176,339-826,009-2,292,407-10,738,117-15,694,171-204,024,223

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