Q: What are the factor combinations of the number 201,331,153?

 A:
Positive:   1 x 20133115317 x 1184300953 x 379870173 x 2757961901 x 2234531241 x 1622333061 x 657733869 x 52037
Negative: -1 x -201331153-17 x -11843009-53 x -3798701-73 x -2757961-901 x -223453-1241 x -162233-3061 x -65773-3869 x -52037


How do I find the factor combinations of the number 201,331,153?

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 201,331,153, 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.

1 201,331,153
-1 -201,331,153

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 201,331,153.

Example:
1 x 201,331,153 = 201,331,153
and
-1 x -201,331,153 = 201,331,153
Notice both answers equal 201,331,153

With that explanation out of the way, let's continue. Next, we take the number 201,331,153 and divide it by 2:

201,331,153 ÷ 2 = 100,665,576.5

If the quotient is a whole number, then 2 and 100,665,576.5 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:

1 201,331,153
-1 -201,331,153

Now, we try dividing 201,331,153 by 3:

201,331,153 ÷ 3 = 67,110,384.3333

If the quotient is a whole number, then 3 and 67,110,384.3333 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:

1 201,331,153
-1 -201,331,153

Let's try dividing by 4:

201,331,153 ÷ 4 = 50,332,788.25

If the quotient is a whole number, then 4 and 50,332,788.25 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:

1 201,331,153
-1 201,331,153
Keep dividing by the next highest number until you cannot divide anymore.

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

11753739011,2413,0613,86952,03765,773162,233223,4532,757,9613,798,70111,843,009201,331,153
-1-17-53-73-901-1,241-3,061-3,869-52,037-65,773-162,233-223,453-2,757,961-3,798,701-11,843,009-201,331,153

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