Q: What are the factor combinations of the number 200,132,111?

 A:
Positive:   1 x 20013211119 x 1053326941 x 4881271199 x 1005689779 x 2569091291 x 1550213781 x 529318159 x 24529
Negative: -1 x -200132111-19 x -10533269-41 x -4881271-199 x -1005689-779 x -256909-1291 x -155021-3781 x -52931-8159 x -24529


How do I find the factor combinations of the number 200,132,111?

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 200,132,111, 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.

1 200,132,111
-1 -200,132,111

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 200,132,111.

Example:
1 x 200,132,111 = 200,132,111
and
-1 x -200,132,111 = 200,132,111
Notice both answers equal 200,132,111

With that explanation out of the way, let's continue. Next, we take the number 200,132,111 and divide it by 2:

200,132,111 ÷ 2 = 100,066,055.5

If the quotient is a whole number, then 2 and 100,066,055.5 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:

1 200,132,111
-1 -200,132,111

Now, we try dividing 200,132,111 by 3:

200,132,111 ÷ 3 = 66,710,703.6667

If the quotient is a whole number, then 3 and 66,710,703.6667 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:

1 200,132,111
-1 -200,132,111

Let's try dividing by 4:

200,132,111 ÷ 4 = 50,033,027.75

If the quotient is a whole number, then 4 and 50,033,027.75 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:

1 200,132,111
-1 200,132,111
Keep dividing by the next highest number until you cannot divide anymore.

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

119411997791,2913,7818,15924,52952,931155,021256,9091,005,6894,881,27110,533,269200,132,111
-1-19-41-199-779-1,291-3,781-8,159-24,529-52,931-155,021-256,909-1,005,689-4,881,271-10,533,269-200,132,111

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