Q: What are the factor combinations of the number 200,230,121?

 A:
Positive:   1 x 2002301217 x 2860430313 x 1540231749 x 408632961 x 328246191 x 2200331427 x 468923637 x 314333793 x 2524972989 x 669895153 x 388575551 x 36071
Negative: -1 x -200230121-7 x -28604303-13 x -15402317-49 x -4086329-61 x -3282461-91 x -2200331-427 x -468923-637 x -314333-793 x -252497-2989 x -66989-5153 x -38857-5551 x -36071


How do I find the factor combinations of the number 200,230,121?

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 200,230,121, 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.

1 200,230,121
-1 -200,230,121

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 200,230,121.

Example:
1 x 200,230,121 = 200,230,121
and
-1 x -200,230,121 = 200,230,121
Notice both answers equal 200,230,121

With that explanation out of the way, let's continue. Next, we take the number 200,230,121 and divide it by 2:

200,230,121 ÷ 2 = 100,115,060.5

If the quotient is a whole number, then 2 and 100,115,060.5 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:

1 200,230,121
-1 -200,230,121

Now, we try dividing 200,230,121 by 3:

200,230,121 ÷ 3 = 66,743,373.6667

If the quotient is a whole number, then 3 and 66,743,373.6667 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:

1 200,230,121
-1 -200,230,121

Let's try dividing by 4:

200,230,121 ÷ 4 = 50,057,530.25

If the quotient is a whole number, then 4 and 50,057,530.25 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:

1 200,230,121
-1 200,230,121
Keep dividing by the next highest number until you cannot divide anymore.

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

17134961914276377932,9895,1535,55136,07138,85766,989252,497314,333468,9232,200,3313,282,4614,086,32915,402,31728,604,303200,230,121
-1-7-13-49-61-91-427-637-793-2,989-5,153-5,551-36,071-38,857-66,989-252,497-314,333-468,923-2,200,331-3,282,461-4,086,329-15,402,317-28,604,303-200,230,121

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