Q: What are the factor combinations of the number 250,614,715?

 A:
Positive:   1 x 2506147155 x 5012294313 x 1927805565 x 3855611251 x 9984651255 x 1996933263 x 7680515361 x 16315
Negative: -1 x -250614715-5 x -50122943-13 x -19278055-65 x -3855611-251 x -998465-1255 x -199693-3263 x -76805-15361 x -16315


How do I find the factor combinations of the number 250,614,715?

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 250,614,715, 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.

1 250,614,715
-1 -250,614,715

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 250,614,715.

Example:
1 x 250,614,715 = 250,614,715
and
-1 x -250,614,715 = 250,614,715
Notice both answers equal 250,614,715

With that explanation out of the way, let's continue. Next, we take the number 250,614,715 and divide it by 2:

250,614,715 ÷ 2 = 125,307,357.5

If the quotient is a whole number, then 2 and 125,307,357.5 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:

1 250,614,715
-1 -250,614,715

Now, we try dividing 250,614,715 by 3:

250,614,715 ÷ 3 = 83,538,238.3333

If the quotient is a whole number, then 3 and 83,538,238.3333 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:

1 250,614,715
-1 -250,614,715

Let's try dividing by 4:

250,614,715 ÷ 4 = 62,653,678.75

If the quotient is a whole number, then 4 and 62,653,678.75 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:

1 250,614,715
-1 250,614,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652511,2553,26315,36116,31576,805199,693998,4653,855,61119,278,05550,122,943250,614,715
-1-5-13-65-251-1,255-3,263-15,361-16,315-76,805-199,693-998,465-3,855,611-19,278,055-50,122,943-250,614,715

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