Q: What are the factor combinations of the number 56,043,433?

 A:
Positive:   1 x 5604343323 x 243667141 x 1366913103 x 544111577 x 97129943 x 594312369 x 236574223 x 13271
Negative: -1 x -56043433-23 x -2436671-41 x -1366913-103 x -544111-577 x -97129-943 x -59431-2369 x -23657-4223 x -13271


How do I find the factor combinations of the number 56,043,433?

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 56,043,433, 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 56,043,433
-1 -56,043,433

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 56,043,433.

Example:
1 x 56,043,433 = 56,043,433
and
-1 x -56,043,433 = 56,043,433
Notice both answers equal 56,043,433

With that explanation out of the way, let's continue. Next, we take the number 56,043,433 and divide it by 2:

56,043,433 ÷ 2 = 28,021,716.5

If the quotient is a whole number, then 2 and 28,021,716.5 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 56,043,433
-1 -56,043,433

Now, we try dividing 56,043,433 by 3:

56,043,433 ÷ 3 = 18,681,144.3333

If the quotient is a whole number, then 3 and 18,681,144.3333 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 56,043,433
-1 -56,043,433

Let's try dividing by 4:

56,043,433 ÷ 4 = 14,010,858.25

If the quotient is a whole number, then 4 and 14,010,858.25 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 56,043,433
-1 56,043,433
Keep dividing by the next highest number until you cannot divide anymore.

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

123411035779432,3694,22313,27123,65759,43197,129544,1111,366,9132,436,67156,043,433
-1-23-41-103-577-943-2,369-4,223-13,271-23,657-59,431-97,129-544,111-1,366,913-2,436,671-56,043,433

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