Q: What are the factor combinations of the number 200,304,299?

 A:
Positive:   1 x 20030429913 x 1540802331 x 6461429307 x 652457403 x 4970331619 x 1237213991 x 501899517 x 21047
Negative: -1 x -200304299-13 x -15408023-31 x -6461429-307 x -652457-403 x -497033-1619 x -123721-3991 x -50189-9517 x -21047


How do I find the factor combinations of the number 200,304,299?

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 200,304,299, 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.

1 200,304,299
-1 -200,304,299

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 200,304,299.

Example:
1 x 200,304,299 = 200,304,299
and
-1 x -200,304,299 = 200,304,299
Notice both answers equal 200,304,299

With that explanation out of the way, let's continue. Next, we take the number 200,304,299 and divide it by 2:

200,304,299 ÷ 2 = 100,152,149.5

If the quotient is a whole number, then 2 and 100,152,149.5 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:

1 200,304,299
-1 -200,304,299

Now, we try dividing 200,304,299 by 3:

200,304,299 ÷ 3 = 66,768,099.6667

If the quotient is a whole number, then 3 and 66,768,099.6667 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:

1 200,304,299
-1 -200,304,299

Let's try dividing by 4:

200,304,299 ÷ 4 = 50,076,074.75

If the quotient is a whole number, then 4 and 50,076,074.75 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:

1 200,304,299
-1 200,304,299
Keep dividing by the next highest number until you cannot divide anymore.

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

113313074031,6193,9919,51721,04750,189123,721497,033652,4576,461,42915,408,023200,304,299
-1-13-31-307-403-1,619-3,991-9,517-21,047-50,189-123,721-497,033-652,457-6,461,429-15,408,023-200,304,299

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