Q: What are the factor combinations of the number 423,236,639?

 A:
Positive:   1 x 4232366397 x 6046237723 x 18401593161 x 26287991063 x 3981532473 x 1711437441 x 5687917311 x 24449
Negative: -1 x -423236639-7 x -60462377-23 x -18401593-161 x -2628799-1063 x -398153-2473 x -171143-7441 x -56879-17311 x -24449


How do I find the factor combinations of the number 423,236,639?

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 423,236,639, 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.

1 423,236,639
-1 -423,236,639

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 423,236,639.

Example:
1 x 423,236,639 = 423,236,639
and
-1 x -423,236,639 = 423,236,639
Notice both answers equal 423,236,639

With that explanation out of the way, let's continue. Next, we take the number 423,236,639 and divide it by 2:

423,236,639 ÷ 2 = 211,618,319.5

If the quotient is a whole number, then 2 and 211,618,319.5 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:

1 423,236,639
-1 -423,236,639

Now, we try dividing 423,236,639 by 3:

423,236,639 ÷ 3 = 141,078,879.6667

If the quotient is a whole number, then 3 and 141,078,879.6667 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:

1 423,236,639
-1 -423,236,639

Let's try dividing by 4:

423,236,639 ÷ 4 = 105,809,159.75

If the quotient is a whole number, then 4 and 105,809,159.75 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:

1 423,236,639
-1 423,236,639
Keep dividing by the next highest number until you cannot divide anymore.

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

17231611,0632,4737,44117,31124,44956,879171,143398,1532,628,79918,401,59360,462,377423,236,639
-1-7-23-161-1,063-2,473-7,441-17,311-24,449-56,879-171,143-398,153-2,628,799-18,401,593-60,462,377-423,236,639

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