Q: What are the factor combinations of the number 302,403,115?

 A:
Positive:   1 x 3024031155 x 604806237 x 4320044535 x 8640089239 x 12652851195 x 2530571673 x 1807558365 x 36151
Negative: -1 x -302403115-5 x -60480623-7 x -43200445-35 x -8640089-239 x -1265285-1195 x -253057-1673 x -180755-8365 x -36151


How do I find the factor combinations of the number 302,403,115?

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 302,403,115, 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.

1 302,403,115
-1 -302,403,115

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 302,403,115.

Example:
1 x 302,403,115 = 302,403,115
and
-1 x -302,403,115 = 302,403,115
Notice both answers equal 302,403,115

With that explanation out of the way, let's continue. Next, we take the number 302,403,115 and divide it by 2:

302,403,115 ÷ 2 = 151,201,557.5

If the quotient is a whole number, then 2 and 151,201,557.5 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:

1 302,403,115
-1 -302,403,115

Now, we try dividing 302,403,115 by 3:

302,403,115 ÷ 3 = 100,801,038.3333

If the quotient is a whole number, then 3 and 100,801,038.3333 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:

1 302,403,115
-1 -302,403,115

Let's try dividing by 4:

302,403,115 ÷ 4 = 75,600,778.75

If the quotient is a whole number, then 4 and 75,600,778.75 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:

1 302,403,115
-1 302,403,115
Keep dividing by the next highest number until you cannot divide anymore.

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

157352391,1951,6738,36536,151180,755253,0571,265,2858,640,08943,200,44560,480,623302,403,115
-1-5-7-35-239-1,195-1,673-8,365-36,151-180,755-253,057-1,265,285-8,640,089-43,200,445-60,480,623-302,403,115

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