Q: What are the factor combinations of the number 300,020,515?

 A:
Positive:   1 x 3000205155 x 6000410329 x 1034553583 x 361470597 x 3092995145 x 2069107257 x 1167395415 x 722941485 x 6185991285 x 2334792407 x 1246452813 x 1066557453 x 402558051 x 3726512035 x 2492914065 x 21331
Negative: -1 x -300020515-5 x -60004103-29 x -10345535-83 x -3614705-97 x -3092995-145 x -2069107-257 x -1167395-415 x -722941-485 x -618599-1285 x -233479-2407 x -124645-2813 x -106655-7453 x -40255-8051 x -37265-12035 x -24929-14065 x -21331


How do I find the factor combinations of the number 300,020,515?

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 300,020,515, 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.

1 300,020,515
-1 -300,020,515

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 300,020,515.

Example:
1 x 300,020,515 = 300,020,515
and
-1 x -300,020,515 = 300,020,515
Notice both answers equal 300,020,515

With that explanation out of the way, let's continue. Next, we take the number 300,020,515 and divide it by 2:

300,020,515 ÷ 2 = 150,010,257.5

If the quotient is a whole number, then 2 and 150,010,257.5 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:

1 300,020,515
-1 -300,020,515

Now, we try dividing 300,020,515 by 3:

300,020,515 ÷ 3 = 100,006,838.3333

If the quotient is a whole number, then 3 and 100,006,838.3333 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:

1 300,020,515
-1 -300,020,515

Let's try dividing by 4:

300,020,515 ÷ 4 = 75,005,128.75

If the quotient is a whole number, then 4 and 75,005,128.75 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:

1 300,020,515
-1 300,020,515
Keep dividing by the next highest number until you cannot divide anymore.

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

152983971452574154851,2852,4072,8137,4538,05112,03514,06521,33124,92937,26540,255106,655124,645233,479618,599722,9411,167,3952,069,1073,092,9953,614,70510,345,53560,004,103300,020,515
-1-5-29-83-97-145-257-415-485-1,285-2,407-2,813-7,453-8,051-12,035-14,065-21,331-24,929-37,265-40,255-106,655-124,645-233,479-618,599-722,941-1,167,395-2,069,107-3,092,995-3,614,705-10,345,535-60,004,103-300,020,515

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