Q: What are the factor combinations of the number 543,425,623?

 A:
Positive:   1 x 54342562313 x 4180197123 x 2362720137 x 14687179299 x 1817477481 x 1129783851 x 63857311063 x 49121
Negative: -1 x -543425623-13 x -41801971-23 x -23627201-37 x -14687179-299 x -1817477-481 x -1129783-851 x -638573-11063 x -49121


How do I find the factor combinations of the number 543,425,623?

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 543,425,623, 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.

1 543,425,623
-1 -543,425,623

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 543,425,623.

Example:
1 x 543,425,623 = 543,425,623
and
-1 x -543,425,623 = 543,425,623
Notice both answers equal 543,425,623

With that explanation out of the way, let's continue. Next, we take the number 543,425,623 and divide it by 2:

543,425,623 ÷ 2 = 271,712,811.5

If the quotient is a whole number, then 2 and 271,712,811.5 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:

1 543,425,623
-1 -543,425,623

Now, we try dividing 543,425,623 by 3:

543,425,623 ÷ 3 = 181,141,874.3333

If the quotient is a whole number, then 3 and 181,141,874.3333 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:

1 543,425,623
-1 -543,425,623

Let's try dividing by 4:

543,425,623 ÷ 4 = 135,856,405.75

If the quotient is a whole number, then 4 and 135,856,405.75 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:

1 543,425,623
-1 543,425,623
Keep dividing by the next highest number until you cannot divide anymore.

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

113233729948185111,06349,121638,5731,129,7831,817,47714,687,17923,627,20141,801,971543,425,623
-1-13-23-37-299-481-851-11,063-49,121-638,573-1,129,783-1,817,477-14,687,179-23,627,201-41,801,971-543,425,623

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