Q: What are the factor combinations of the number 552,347,243?

 A:
Positive:   1 x 5523472437 x 7890674931 x 1781765347 x 11752069217 x 2545379329 x 1678867961 x 5747631457 x 3790991747 x 3161696727 x 8210910199 x 5415712229 x 45167
Negative: -1 x -552347243-7 x -78906749-31 x -17817653-47 x -11752069-217 x -2545379-329 x -1678867-961 x -574763-1457 x -379099-1747 x -316169-6727 x -82109-10199 x -54157-12229 x -45167


How do I find the factor combinations of the number 552,347,243?

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 552,347,243, 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.

1 552,347,243
-1 -552,347,243

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 552,347,243.

Example:
1 x 552,347,243 = 552,347,243
and
-1 x -552,347,243 = 552,347,243
Notice both answers equal 552,347,243

With that explanation out of the way, let's continue. Next, we take the number 552,347,243 and divide it by 2:

552,347,243 ÷ 2 = 276,173,621.5

If the quotient is a whole number, then 2 and 276,173,621.5 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:

1 552,347,243
-1 -552,347,243

Now, we try dividing 552,347,243 by 3:

552,347,243 ÷ 3 = 184,115,747.6667

If the quotient is a whole number, then 3 and 184,115,747.6667 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:

1 552,347,243
-1 -552,347,243

Let's try dividing by 4:

552,347,243 ÷ 4 = 138,086,810.75

If the quotient is a whole number, then 4 and 138,086,810.75 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:

1 552,347,243
-1 552,347,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1731472173299611,4571,7476,72710,19912,22945,16754,15782,109316,169379,099574,7631,678,8672,545,37911,752,06917,817,65378,906,749552,347,243
-1-7-31-47-217-329-961-1,457-1,747-6,727-10,199-12,229-45,167-54,157-82,109-316,169-379,099-574,763-1,678,867-2,545,379-11,752,069-17,817,653-78,906,749-552,347,243

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