Q: What are the factor combinations of the number 201,562,097?

 A:
Positive:   1 x 20156209711 x 1832382783 x 2428459277 x 727661797 x 252901913 x 2207693047 x 661518767 x 22991
Negative: -1 x -201562097-11 x -18323827-83 x -2428459-277 x -727661-797 x -252901-913 x -220769-3047 x -66151-8767 x -22991


How do I find the factor combinations of the number 201,562,097?

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 201,562,097, 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.

1 201,562,097
-1 -201,562,097

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 201,562,097.

Example:
1 x 201,562,097 = 201,562,097
and
-1 x -201,562,097 = 201,562,097
Notice both answers equal 201,562,097

With that explanation out of the way, let's continue. Next, we take the number 201,562,097 and divide it by 2:

201,562,097 ÷ 2 = 100,781,048.5

If the quotient is a whole number, then 2 and 100,781,048.5 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:

1 201,562,097
-1 -201,562,097

Now, we try dividing 201,562,097 by 3:

201,562,097 ÷ 3 = 67,187,365.6667

If the quotient is a whole number, then 3 and 67,187,365.6667 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:

1 201,562,097
-1 -201,562,097

Let's try dividing by 4:

201,562,097 ÷ 4 = 50,390,524.25

If the quotient is a whole number, then 4 and 50,390,524.25 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:

1 201,562,097
-1 201,562,097
Keep dividing by the next highest number until you cannot divide anymore.

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

111832777979133,0478,76722,99166,151220,769252,901727,6612,428,45918,323,827201,562,097
-1-11-83-277-797-913-3,047-8,767-22,991-66,151-220,769-252,901-727,661-2,428,459-18,323,827-201,562,097

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