Q: What are the factor combinations of the number 300,232,015?

 A:
Positive:   1 x 3002320155 x 6004640319 x 1580168553 x 566475595 x 3160337265 x 11329511007 x 2981455035 x 59629
Negative: -1 x -300232015-5 x -60046403-19 x -15801685-53 x -5664755-95 x -3160337-265 x -1132951-1007 x -298145-5035 x -59629


How do I find the factor combinations of the number 300,232,015?

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 300,232,015, 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.

1 300,232,015
-1 -300,232,015

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 300,232,015.

Example:
1 x 300,232,015 = 300,232,015
and
-1 x -300,232,015 = 300,232,015
Notice both answers equal 300,232,015

With that explanation out of the way, let's continue. Next, we take the number 300,232,015 and divide it by 2:

300,232,015 ÷ 2 = 150,116,007.5

If the quotient is a whole number, then 2 and 150,116,007.5 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:

1 300,232,015
-1 -300,232,015

Now, we try dividing 300,232,015 by 3:

300,232,015 ÷ 3 = 100,077,338.3333

If the quotient is a whole number, then 3 and 100,077,338.3333 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:

1 300,232,015
-1 -300,232,015

Let's try dividing by 4:

300,232,015 ÷ 4 = 75,058,003.75

If the quotient is a whole number, then 4 and 75,058,003.75 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:

1 300,232,015
-1 300,232,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151953952651,0075,03559,629298,1451,132,9513,160,3375,664,75515,801,68560,046,403300,232,015
-1-5-19-53-95-265-1,007-5,035-59,629-298,145-1,132,951-3,160,337-5,664,755-15,801,685-60,046,403-300,232,015

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