Q: What are the factor combinations of the number 200,435,057?

 A:
Positive:   1 x 20043505731 x 64656471747 x 1147313701 x 54157
Negative: -1 x -200435057-31 x -6465647-1747 x -114731-3701 x -54157


How do I find the factor combinations of the number 200,435,057?

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 200,435,057, 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.

1 200,435,057
-1 -200,435,057

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 200,435,057.

Example:
1 x 200,435,057 = 200,435,057
and
-1 x -200,435,057 = 200,435,057
Notice both answers equal 200,435,057

With that explanation out of the way, let's continue. Next, we take the number 200,435,057 and divide it by 2:

200,435,057 ÷ 2 = 100,217,528.5

If the quotient is a whole number, then 2 and 100,217,528.5 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:

1 200,435,057
-1 -200,435,057

Now, we try dividing 200,435,057 by 3:

200,435,057 ÷ 3 = 66,811,685.6667

If the quotient is a whole number, then 3 and 66,811,685.6667 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:

1 200,435,057
-1 -200,435,057

Let's try dividing by 4:

200,435,057 ÷ 4 = 50,108,764.25

If the quotient is a whole number, then 4 and 50,108,764.25 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:

1 200,435,057
-1 200,435,057
Keep dividing by the next highest number until you cannot divide anymore.

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

1311,7473,70154,157114,7316,465,647200,435,057
-1-31-1,747-3,701-54,157-114,731-6,465,647-200,435,057

More Examples

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