Q: What are the factor combinations of the number 404,143,243?

 A:
Positive:   1 x 4041432437 x 5773474919 x 21270697133 x 3038671619 x 6528974333 x 932714909 x 8232711761 x 34363
Negative: -1 x -404143243-7 x -57734749-19 x -21270697-133 x -3038671-619 x -652897-4333 x -93271-4909 x -82327-11761 x -34363


How do I find the factor combinations of the number 404,143,243?

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 404,143,243, 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.

1 404,143,243
-1 -404,143,243

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 404,143,243.

Example:
1 x 404,143,243 = 404,143,243
and
-1 x -404,143,243 = 404,143,243
Notice both answers equal 404,143,243

With that explanation out of the way, let's continue. Next, we take the number 404,143,243 and divide it by 2:

404,143,243 ÷ 2 = 202,071,621.5

If the quotient is a whole number, then 2 and 202,071,621.5 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:

1 404,143,243
-1 -404,143,243

Now, we try dividing 404,143,243 by 3:

404,143,243 ÷ 3 = 134,714,414.3333

If the quotient is a whole number, then 3 and 134,714,414.3333 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:

1 404,143,243
-1 -404,143,243

Let's try dividing by 4:

404,143,243 ÷ 4 = 101,035,810.75

If the quotient is a whole number, then 4 and 101,035,810.75 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:

1 404,143,243
-1 404,143,243
Keep dividing by the next highest number until you cannot divide anymore.

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

17191336194,3334,90911,76134,36382,32793,271652,8973,038,67121,270,69757,734,749404,143,243
-1-7-19-133-619-4,333-4,909-11,761-34,363-82,327-93,271-652,897-3,038,671-21,270,697-57,734,749-404,143,243

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