Q: What are the factor combinations of the number 462,614,815?

 A:
Positive:   1 x 4626148155 x 9252296313 x 3558575529 x 1595223565 x 7117151145 x 3190447377 x 12270951885 x 245419
Negative: -1 x -462614815-5 x -92522963-13 x -35585755-29 x -15952235-65 x -7117151-145 x -3190447-377 x -1227095-1885 x -245419


How do I find the factor combinations of the number 462,614,815?

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 462,614,815, 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.

1 462,614,815
-1 -462,614,815

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 462,614,815.

Example:
1 x 462,614,815 = 462,614,815
and
-1 x -462,614,815 = 462,614,815
Notice both answers equal 462,614,815

With that explanation out of the way, let's continue. Next, we take the number 462,614,815 and divide it by 2:

462,614,815 ÷ 2 = 231,307,407.5

If the quotient is a whole number, then 2 and 231,307,407.5 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:

1 462,614,815
-1 -462,614,815

Now, we try dividing 462,614,815 by 3:

462,614,815 ÷ 3 = 154,204,938.3333

If the quotient is a whole number, then 3 and 154,204,938.3333 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:

1 462,614,815
-1 -462,614,815

Let's try dividing by 4:

462,614,815 ÷ 4 = 115,653,703.75

If the quotient is a whole number, then 4 and 115,653,703.75 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:

1 462,614,815
-1 462,614,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,885245,4191,227,0953,190,4477,117,15115,952,23535,585,75592,522,963462,614,815
-1-5-13-29-65-145-377-1,885-245,419-1,227,095-3,190,447-7,117,151-15,952,235-35,585,755-92,522,963-462,614,815

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