Q: What are the factor combinations of the number 200,055,125?

 A:
Positive:   1 x 2000551255 x 4001102525 x 800220553 x 3774625125 x 1600441265 x 7549251325 x 1509856625 x 30197
Negative: -1 x -200055125-5 x -40011025-25 x -8002205-53 x -3774625-125 x -1600441-265 x -754925-1325 x -150985-6625 x -30197


How do I find the factor combinations of the number 200,055,125?

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 200,055,125, 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.

1 200,055,125
-1 -200,055,125

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 200,055,125.

Example:
1 x 200,055,125 = 200,055,125
and
-1 x -200,055,125 = 200,055,125
Notice both answers equal 200,055,125

With that explanation out of the way, let's continue. Next, we take the number 200,055,125 and divide it by 2:

200,055,125 ÷ 2 = 100,027,562.5

If the quotient is a whole number, then 2 and 100,027,562.5 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:

1 200,055,125
-1 -200,055,125

Now, we try dividing 200,055,125 by 3:

200,055,125 ÷ 3 = 66,685,041.6667

If the quotient is a whole number, then 3 and 66,685,041.6667 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:

1 200,055,125
-1 -200,055,125

Let's try dividing by 4:

200,055,125 ÷ 4 = 50,013,781.25

If the quotient is a whole number, then 4 and 50,013,781.25 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:

1 200,055,125
-1 200,055,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3256,62530,197150,985754,9251,600,4413,774,6258,002,20540,011,025200,055,125
-1-5-25-53-125-265-1,325-6,625-30,197-150,985-754,925-1,600,441-3,774,625-8,002,205-40,011,025-200,055,125

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