Q: What are the factor combinations of the number 300,020,357?

 A:
Positive:   1 x 3000203577 x 4286005113 x 2307848991 x 3296927103 x 2912819721 x 4161171339 x 2240639373 x 32009
Negative: -1 x -300020357-7 x -42860051-13 x -23078489-91 x -3296927-103 x -2912819-721 x -416117-1339 x -224063-9373 x -32009


How do I find the factor combinations of the number 300,020,357?

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 300,020,357, 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.

1 300,020,357
-1 -300,020,357

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 300,020,357.

Example:
1 x 300,020,357 = 300,020,357
and
-1 x -300,020,357 = 300,020,357
Notice both answers equal 300,020,357

With that explanation out of the way, let's continue. Next, we take the number 300,020,357 and divide it by 2:

300,020,357 ÷ 2 = 150,010,178.5

If the quotient is a whole number, then 2 and 150,010,178.5 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:

1 300,020,357
-1 -300,020,357

Now, we try dividing 300,020,357 by 3:

300,020,357 ÷ 3 = 100,006,785.6667

If the quotient is a whole number, then 3 and 100,006,785.6667 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:

1 300,020,357
-1 -300,020,357

Let's try dividing by 4:

300,020,357 ÷ 4 = 75,005,089.25

If the quotient is a whole number, then 4 and 75,005,089.25 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:

1 300,020,357
-1 300,020,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911037211,3399,37332,009224,063416,1172,912,8193,296,92723,078,48942,860,051300,020,357
-1-7-13-91-103-721-1,339-9,373-32,009-224,063-416,117-2,912,819-3,296,927-23,078,489-42,860,051-300,020,357

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