Q: What are the factor combinations of the number 666,021,024?

 A:
Positive:   1 x 6660210242 x 3330105123 x 2220070084 x 1665052566 x 1110035048 x 832526289 x 7400233612 x 5550175216 x 4162631418 x 3700116824 x 2775087632 x 2081315736 x 1850058448 x 1387543872 x 925029296 x 6937719144 x 4625146288 x 2312573
Negative: -1 x -666021024-2 x -333010512-3 x -222007008-4 x -166505256-6 x -111003504-8 x -83252628-9 x -74002336-12 x -55501752-16 x -41626314-18 x -37001168-24 x -27750876-32 x -20813157-36 x -18500584-48 x -13875438-72 x -9250292-96 x -6937719-144 x -4625146-288 x -2312573


How do I find the factor combinations of the number 666,021,024?

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 666,021,024, 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.

1 666,021,024
-1 -666,021,024

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 666,021,024.

Example:
1 x 666,021,024 = 666,021,024
and
-1 x -666,021,024 = 666,021,024
Notice both answers equal 666,021,024

With that explanation out of the way, let's continue. Next, we take the number 666,021,024 and divide it by 2:

666,021,024 ÷ 2 = 333,010,512

If the quotient is a whole number, then 2 and 333,010,512 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 333,010,512 666,021,024
-1 -2 -333,010,512 -666,021,024

Now, we try dividing 666,021,024 by 3:

666,021,024 ÷ 3 = 222,007,008

If the quotient is a whole number, then 3 and 222,007,008 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 222,007,008 333,010,512 666,021,024
-1 -2 -3 -222,007,008 -333,010,512 -666,021,024

Let's try dividing by 4:

666,021,024 ÷ 4 = 166,505,256

If the quotient is a whole number, then 4 and 166,505,256 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 166,505,256 222,007,008 333,010,512 666,021,024
-1 -2 -3 -4 -166,505,256 -222,007,008 -333,010,512 666,021,024
Keep dividing by the next highest number until you cannot divide anymore.

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

12346891216182432364872961442882,312,5734,625,1466,937,7199,250,29213,875,43818,500,58420,813,15727,750,87637,001,16841,626,31455,501,75274,002,33683,252,628111,003,504166,505,256222,007,008333,010,512666,021,024
-1-2-3-4-6-8-9-12-16-18-24-32-36-48-72-96-144-288-2,312,573-4,625,146-6,937,719-9,250,292-13,875,438-18,500,584-20,813,157-27,750,876-37,001,168-41,626,314-55,501,752-74,002,336-83,252,628-111,003,504-166,505,256-222,007,008-333,010,512-666,021,024

More Examples

Here are some more numbers to try:

666,021,022666,021,023666,021,025666,021,026
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