Q: What are the factor combinations of the number 302,466,703?

 A:
Positive:   1 x 3024667037 x 4320952911 x 2749697317 x 1779215977 x 3928139119 x 2541737187 x 16174691309 x 231067
Negative: -1 x -302466703-7 x -43209529-11 x -27496973-17 x -17792159-77 x -3928139-119 x -2541737-187 x -1617469-1309 x -231067


How do I find the factor combinations of the number 302,466,703?

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 302,466,703, 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.

1 302,466,703
-1 -302,466,703

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 302,466,703.

Example:
1 x 302,466,703 = 302,466,703
and
-1 x -302,466,703 = 302,466,703
Notice both answers equal 302,466,703

With that explanation out of the way, let's continue. Next, we take the number 302,466,703 and divide it by 2:

302,466,703 ÷ 2 = 151,233,351.5

If the quotient is a whole number, then 2 and 151,233,351.5 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:

1 302,466,703
-1 -302,466,703

Now, we try dividing 302,466,703 by 3:

302,466,703 ÷ 3 = 100,822,234.3333

If the quotient is a whole number, then 3 and 100,822,234.3333 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:

1 302,466,703
-1 -302,466,703

Let's try dividing by 4:

302,466,703 ÷ 4 = 75,616,675.75

If the quotient is a whole number, then 4 and 75,616,675.75 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:

1 302,466,703
-1 302,466,703
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,309231,0671,617,4692,541,7373,928,13917,792,15927,496,97343,209,529302,466,703
-1-7-11-17-77-119-187-1,309-231,067-1,617,469-2,541,737-3,928,139-17,792,159-27,496,973-43,209,529-302,466,703

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