Q: What are the factor combinations of the number 423,501,067?

 A:
Positive:   1 x 42350106711 x 3850009747 x 901066179 x 5360773517 x 819151869 x 4873433713 x 11405910369 x 40843
Negative: -1 x -423501067-11 x -38500097-47 x -9010661-79 x -5360773-517 x -819151-869 x -487343-3713 x -114059-10369 x -40843


How do I find the factor combinations of the number 423,501,067?

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 423,501,067, 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.

1 423,501,067
-1 -423,501,067

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 423,501,067.

Example:
1 x 423,501,067 = 423,501,067
and
-1 x -423,501,067 = 423,501,067
Notice both answers equal 423,501,067

With that explanation out of the way, let's continue. Next, we take the number 423,501,067 and divide it by 2:

423,501,067 ÷ 2 = 211,750,533.5

If the quotient is a whole number, then 2 and 211,750,533.5 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:

1 423,501,067
-1 -423,501,067

Now, we try dividing 423,501,067 by 3:

423,501,067 ÷ 3 = 141,167,022.3333

If the quotient is a whole number, then 3 and 141,167,022.3333 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:

1 423,501,067
-1 -423,501,067

Let's try dividing by 4:

423,501,067 ÷ 4 = 105,875,266.75

If the quotient is a whole number, then 4 and 105,875,266.75 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:

1 423,501,067
-1 423,501,067
Keep dividing by the next highest number until you cannot divide anymore.

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

11147795178693,71310,36940,843114,059487,343819,1515,360,7739,010,66138,500,097423,501,067
-1-11-47-79-517-869-3,713-10,369-40,843-114,059-487,343-819,151-5,360,773-9,010,661-38,500,097-423,501,067

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