Q: What are the factor combinations of the number 201,312,307?

 A:
Positive:   1 x 2013123077 x 2875890123 x 875270959 x 3412073161 x 1250387413 x 4874391357 x 1483519499 x 21193
Negative: -1 x -201312307-7 x -28758901-23 x -8752709-59 x -3412073-161 x -1250387-413 x -487439-1357 x -148351-9499 x -21193


How do I find the factor combinations of the number 201,312,307?

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 201,312,307, 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.

1 201,312,307
-1 -201,312,307

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 201,312,307.

Example:
1 x 201,312,307 = 201,312,307
and
-1 x -201,312,307 = 201,312,307
Notice both answers equal 201,312,307

With that explanation out of the way, let's continue. Next, we take the number 201,312,307 and divide it by 2:

201,312,307 ÷ 2 = 100,656,153.5

If the quotient is a whole number, then 2 and 100,656,153.5 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:

1 201,312,307
-1 -201,312,307

Now, we try dividing 201,312,307 by 3:

201,312,307 ÷ 3 = 67,104,102.3333

If the quotient is a whole number, then 3 and 67,104,102.3333 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:

1 201,312,307
-1 -201,312,307

Let's try dividing by 4:

201,312,307 ÷ 4 = 50,328,076.75

If the quotient is a whole number, then 4 and 50,328,076.75 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:

1 201,312,307
-1 201,312,307
Keep dividing by the next highest number until you cannot divide anymore.

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

1723591614131,3579,49921,193148,351487,4391,250,3873,412,0738,752,70928,758,901201,312,307
-1-7-23-59-161-413-1,357-9,499-21,193-148,351-487,439-1,250,387-3,412,073-8,752,709-28,758,901-201,312,307

More Examples

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