Q: What are the factor combinations of the number 200,055,145?

 A:
Positive:   1 x 2000551455 x 40011029167 x 1197935835 x 239587
Negative: -1 x -200055145-5 x -40011029-167 x -1197935-835 x -239587


How do I find the factor combinations of the number 200,055,145?

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 200,055,145, 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.

1 200,055,145
-1 -200,055,145

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 200,055,145.

Example:
1 x 200,055,145 = 200,055,145
and
-1 x -200,055,145 = 200,055,145
Notice both answers equal 200,055,145

With that explanation out of the way, let's continue. Next, we take the number 200,055,145 and divide it by 2:

200,055,145 ÷ 2 = 100,027,572.5

If the quotient is a whole number, then 2 and 100,027,572.5 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:

1 200,055,145
-1 -200,055,145

Now, we try dividing 200,055,145 by 3:

200,055,145 ÷ 3 = 66,685,048.3333

If the quotient is a whole number, then 3 and 66,685,048.3333 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:

1 200,055,145
-1 -200,055,145

Let's try dividing by 4:

200,055,145 ÷ 4 = 50,013,786.25

If the quotient is a whole number, then 4 and 50,013,786.25 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:

1 200,055,145
-1 200,055,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15167835239,5871,197,93540,011,029200,055,145
-1-5-167-835-239,587-1,197,935-40,011,029-200,055,145

More Examples

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