Q: What are the factor combinations of the number 200,321,345?

 A:
Positive:   1 x 2003213455 x 400642697 x 2861733535 x 57234671103 x 1816155189 x 386055515 x 363237721 x 25945
Negative: -1 x -200321345-5 x -40064269-7 x -28617335-35 x -5723467-1103 x -181615-5189 x -38605-5515 x -36323-7721 x -25945


How do I find the factor combinations of the number 200,321,345?

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 200,321,345, 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.

1 200,321,345
-1 -200,321,345

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 200,321,345.

Example:
1 x 200,321,345 = 200,321,345
and
-1 x -200,321,345 = 200,321,345
Notice both answers equal 200,321,345

With that explanation out of the way, let's continue. Next, we take the number 200,321,345 and divide it by 2:

200,321,345 ÷ 2 = 100,160,672.5

If the quotient is a whole number, then 2 and 100,160,672.5 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:

1 200,321,345
-1 -200,321,345

Now, we try dividing 200,321,345 by 3:

200,321,345 ÷ 3 = 66,773,781.6667

If the quotient is a whole number, then 3 and 66,773,781.6667 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:

1 200,321,345
-1 -200,321,345

Let's try dividing by 4:

200,321,345 ÷ 4 = 50,080,336.25

If the quotient is a whole number, then 4 and 50,080,336.25 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:

1 200,321,345
-1 200,321,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,1035,1895,5157,72125,94536,32338,605181,6155,723,46728,617,33540,064,269200,321,345
-1-5-7-35-1,103-5,189-5,515-7,721-25,945-36,323-38,605-181,615-5,723,467-28,617,335-40,064,269-200,321,345

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