Q: What are the factor combinations of the number 306,462,215?

 A:
Positive:   1 x 3064622155 x 61292443113 x 2712055251 x 1220965565 x 5424111255 x 2441932161 x 14181510805 x 28363
Negative: -1 x -306462215-5 x -61292443-113 x -2712055-251 x -1220965-565 x -542411-1255 x -244193-2161 x -141815-10805 x -28363


How do I find the factor combinations of the number 306,462,215?

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 306,462,215, 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.

1 306,462,215
-1 -306,462,215

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 306,462,215.

Example:
1 x 306,462,215 = 306,462,215
and
-1 x -306,462,215 = 306,462,215
Notice both answers equal 306,462,215

With that explanation out of the way, let's continue. Next, we take the number 306,462,215 and divide it by 2:

306,462,215 ÷ 2 = 153,231,107.5

If the quotient is a whole number, then 2 and 153,231,107.5 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:

1 306,462,215
-1 -306,462,215

Now, we try dividing 306,462,215 by 3:

306,462,215 ÷ 3 = 102,154,071.6667

If the quotient is a whole number, then 3 and 102,154,071.6667 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:

1 306,462,215
-1 -306,462,215

Let's try dividing by 4:

306,462,215 ÷ 4 = 76,615,553.75

If the quotient is a whole number, then 4 and 76,615,553.75 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:

1 306,462,215
-1 306,462,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151132515651,2552,16110,80528,363141,815244,193542,4111,220,9652,712,05561,292,443306,462,215
-1-5-113-251-565-1,255-2,161-10,805-28,363-141,815-244,193-542,411-1,220,965-2,712,055-61,292,443-306,462,215

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