Q: What are the factor combinations of the number 552,242,161?

 A:
Positive:   1 x 55224216117 x 3248483341 x 13469321359 x 1538279697 x 7923132207 x 2502236103 x 9048714719 x 37519
Negative: -1 x -552242161-17 x -32484833-41 x -13469321-359 x -1538279-697 x -792313-2207 x -250223-6103 x -90487-14719 x -37519


How do I find the factor combinations of the number 552,242,161?

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 552,242,161, 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.

1 552,242,161
-1 -552,242,161

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 552,242,161.

Example:
1 x 552,242,161 = 552,242,161
and
-1 x -552,242,161 = 552,242,161
Notice both answers equal 552,242,161

With that explanation out of the way, let's continue. Next, we take the number 552,242,161 and divide it by 2:

552,242,161 ÷ 2 = 276,121,080.5

If the quotient is a whole number, then 2 and 276,121,080.5 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:

1 552,242,161
-1 -552,242,161

Now, we try dividing 552,242,161 by 3:

552,242,161 ÷ 3 = 184,080,720.3333

If the quotient is a whole number, then 3 and 184,080,720.3333 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:

1 552,242,161
-1 -552,242,161

Let's try dividing by 4:

552,242,161 ÷ 4 = 138,060,540.25

If the quotient is a whole number, then 4 and 138,060,540.25 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:

1 552,242,161
-1 552,242,161
Keep dividing by the next highest number until you cannot divide anymore.

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

117413596972,2076,10314,71937,51990,487250,223792,3131,538,27913,469,32132,484,833552,242,161
-1-17-41-359-697-2,207-6,103-14,719-37,519-90,487-250,223-792,313-1,538,279-13,469,321-32,484,833-552,242,161

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