Q: What are the factor combinations of the number 200,435,525?

 A:
Positive:   1 x 2004355255 x 4008710517 x 1179032525 x 801742167 x 299157585 x 2358065335 x 598315425 x 4716131139 x 1759751675 x 1196635695 x 351957039 x 28475
Negative: -1 x -200435525-5 x -40087105-17 x -11790325-25 x -8017421-67 x -2991575-85 x -2358065-335 x -598315-425 x -471613-1139 x -175975-1675 x -119663-5695 x -35195-7039 x -28475


How do I find the factor combinations of the number 200,435,525?

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 200,435,525, 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.

1 200,435,525
-1 -200,435,525

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 200,435,525.

Example:
1 x 200,435,525 = 200,435,525
and
-1 x -200,435,525 = 200,435,525
Notice both answers equal 200,435,525

With that explanation out of the way, let's continue. Next, we take the number 200,435,525 and divide it by 2:

200,435,525 ÷ 2 = 100,217,762.5

If the quotient is a whole number, then 2 and 100,217,762.5 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:

1 200,435,525
-1 -200,435,525

Now, we try dividing 200,435,525 by 3:

200,435,525 ÷ 3 = 66,811,841.6667

If the quotient is a whole number, then 3 and 66,811,841.6667 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:

1 200,435,525
-1 -200,435,525

Let's try dividing by 4:

200,435,525 ÷ 4 = 50,108,881.25

If the quotient is a whole number, then 4 and 50,108,881.25 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:

1 200,435,525
-1 200,435,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15172567853354251,1391,6755,6957,03928,47535,195119,663175,975471,613598,3152,358,0652,991,5758,017,42111,790,32540,087,105200,435,525
-1-5-17-25-67-85-335-425-1,139-1,675-5,695-7,039-28,475-35,195-119,663-175,975-471,613-598,315-2,358,065-2,991,575-8,017,421-11,790,325-40,087,105-200,435,525

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