Q: What are the factor combinations of the number 302,300,995?

 A:
Positive:   1 x 3023009955 x 6046019931 x 975164541 x 7373195155 x 1950329205 x 14746391271 x 2378456355 x 47569
Negative: -1 x -302300995-5 x -60460199-31 x -9751645-41 x -7373195-155 x -1950329-205 x -1474639-1271 x -237845-6355 x -47569


How do I find the factor combinations of the number 302,300,995?

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 302,300,995, 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.

1 302,300,995
-1 -302,300,995

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 302,300,995.

Example:
1 x 302,300,995 = 302,300,995
and
-1 x -302,300,995 = 302,300,995
Notice both answers equal 302,300,995

With that explanation out of the way, let's continue. Next, we take the number 302,300,995 and divide it by 2:

302,300,995 ÷ 2 = 151,150,497.5

If the quotient is a whole number, then 2 and 151,150,497.5 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:

1 302,300,995
-1 -302,300,995

Now, we try dividing 302,300,995 by 3:

302,300,995 ÷ 3 = 100,766,998.3333

If the quotient is a whole number, then 3 and 100,766,998.3333 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:

1 302,300,995
-1 -302,300,995

Let's try dividing by 4:

302,300,995 ÷ 4 = 75,575,248.75

If the quotient is a whole number, then 4 and 75,575,248.75 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:

1 302,300,995
-1 302,300,995
Keep dividing by the next highest number until you cannot divide anymore.

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

1531411552051,2716,35547,569237,8451,474,6391,950,3297,373,1959,751,64560,460,199302,300,995
-1-5-31-41-155-205-1,271-6,355-47,569-237,845-1,474,639-1,950,329-7,373,195-9,751,645-60,460,199-302,300,995

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