Q: What are the factor combinations of the number 404,500,243?

 A:
Positive:   1 x 4045002437 x 5778574937 x 1093243949 x 8255107259 x 1561777343 x 11793011813 x 22311112691 x 31873
Negative: -1 x -404500243-7 x -57785749-37 x -10932439-49 x -8255107-259 x -1561777-343 x -1179301-1813 x -223111-12691 x -31873


How do I find the factor combinations of the number 404,500,243?

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 404,500,243, 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.

1 404,500,243
-1 -404,500,243

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 404,500,243.

Example:
1 x 404,500,243 = 404,500,243
and
-1 x -404,500,243 = 404,500,243
Notice both answers equal 404,500,243

With that explanation out of the way, let's continue. Next, we take the number 404,500,243 and divide it by 2:

404,500,243 ÷ 2 = 202,250,121.5

If the quotient is a whole number, then 2 and 202,250,121.5 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:

1 404,500,243
-1 -404,500,243

Now, we try dividing 404,500,243 by 3:

404,500,243 ÷ 3 = 134,833,414.3333

If the quotient is a whole number, then 3 and 134,833,414.3333 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:

1 404,500,243
-1 -404,500,243

Let's try dividing by 4:

404,500,243 ÷ 4 = 101,125,060.75

If the quotient is a whole number, then 4 and 101,125,060.75 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:

1 404,500,243
-1 404,500,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492593431,81312,69131,873223,1111,179,3011,561,7778,255,10710,932,43957,785,749404,500,243
-1-7-37-49-259-343-1,813-12,691-31,873-223,111-1,179,301-1,561,777-8,255,107-10,932,439-57,785,749-404,500,243

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