Q: What are the factor combinations of the number 432,344,341?

 A:
Positive:   1 x 43234434111 x 3930403113 x 33257257143 x 3023387349 x 12388093839 x 1126194537 x 952938663 x 49907
Negative: -1 x -432344341-11 x -39304031-13 x -33257257-143 x -3023387-349 x -1238809-3839 x -112619-4537 x -95293-8663 x -49907


How do I find the factor combinations of the number 432,344,341?

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 432,344,341, 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.

1 432,344,341
-1 -432,344,341

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 432,344,341.

Example:
1 x 432,344,341 = 432,344,341
and
-1 x -432,344,341 = 432,344,341
Notice both answers equal 432,344,341

With that explanation out of the way, let's continue. Next, we take the number 432,344,341 and divide it by 2:

432,344,341 ÷ 2 = 216,172,170.5

If the quotient is a whole number, then 2 and 216,172,170.5 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:

1 432,344,341
-1 -432,344,341

Now, we try dividing 432,344,341 by 3:

432,344,341 ÷ 3 = 144,114,780.3333

If the quotient is a whole number, then 3 and 144,114,780.3333 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:

1 432,344,341
-1 -432,344,341

Let's try dividing by 4:

432,344,341 ÷ 4 = 108,086,085.25

If the quotient is a whole number, then 4 and 108,086,085.25 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:

1 432,344,341
-1 432,344,341
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433493,8394,5378,66349,90795,293112,6191,238,8093,023,38733,257,25739,304,031432,344,341
-1-11-13-143-349-3,839-4,537-8,663-49,907-95,293-112,619-1,238,809-3,023,387-33,257,257-39,304,031-432,344,341

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