Q: What are the factor combinations of the number 423,141,355?

 A:
Positive:   1 x 4231413555 x 846282717 x 6044876513 x 3254933535 x 1208975365 x 650986791 x 4649905169 x 2503795455 x 929981845 x 5007591183 x 3576855915 x 71537
Negative: -1 x -423141355-5 x -84628271-7 x -60448765-13 x -32549335-35 x -12089753-65 x -6509867-91 x -4649905-169 x -2503795-455 x -929981-845 x -500759-1183 x -357685-5915 x -71537


How do I find the factor combinations of the number 423,141,355?

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 423,141,355, 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.

1 423,141,355
-1 -423,141,355

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 423,141,355.

Example:
1 x 423,141,355 = 423,141,355
and
-1 x -423,141,355 = 423,141,355
Notice both answers equal 423,141,355

With that explanation out of the way, let's continue. Next, we take the number 423,141,355 and divide it by 2:

423,141,355 ÷ 2 = 211,570,677.5

If the quotient is a whole number, then 2 and 211,570,677.5 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:

1 423,141,355
-1 -423,141,355

Now, we try dividing 423,141,355 by 3:

423,141,355 ÷ 3 = 141,047,118.3333

If the quotient is a whole number, then 3 and 141,047,118.3333 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:

1 423,141,355
-1 -423,141,355

Let's try dividing by 4:

423,141,355 ÷ 4 = 105,785,338.75

If the quotient is a whole number, then 4 and 105,785,338.75 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:

1 423,141,355
-1 423,141,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157133565911694558451,1835,91571,537357,685500,759929,9812,503,7954,649,9056,509,86712,089,75332,549,33560,448,76584,628,271423,141,355
-1-5-7-13-35-65-91-169-455-845-1,183-5,915-71,537-357,685-500,759-929,981-2,503,795-4,649,905-6,509,867-12,089,753-32,549,335-60,448,765-84,628,271-423,141,355

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