Q: What are the factor combinations of the number 250,014,661?

 A:
Positive:   1 x 25001466113 x 1923189737 x 675715361 x 4098601481 x 519781793 x 3152772257 x 1107738521 x 29341
Negative: -1 x -250014661-13 x -19231897-37 x -6757153-61 x -4098601-481 x -519781-793 x -315277-2257 x -110773-8521 x -29341


How do I find the factor combinations of the number 250,014,661?

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 250,014,661, 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.

1 250,014,661
-1 -250,014,661

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 250,014,661.

Example:
1 x 250,014,661 = 250,014,661
and
-1 x -250,014,661 = 250,014,661
Notice both answers equal 250,014,661

With that explanation out of the way, let's continue. Next, we take the number 250,014,661 and divide it by 2:

250,014,661 ÷ 2 = 125,007,330.5

If the quotient is a whole number, then 2 and 125,007,330.5 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:

1 250,014,661
-1 -250,014,661

Now, we try dividing 250,014,661 by 3:

250,014,661 ÷ 3 = 83,338,220.3333

If the quotient is a whole number, then 3 and 83,338,220.3333 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:

1 250,014,661
-1 -250,014,661

Let's try dividing by 4:

250,014,661 ÷ 4 = 62,503,665.25

If the quotient is a whole number, then 4 and 62,503,665.25 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:

1 250,014,661
-1 250,014,661
Keep dividing by the next highest number until you cannot divide anymore.

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

11337614817932,2578,52129,341110,773315,277519,7814,098,6016,757,15319,231,897250,014,661
-1-13-37-61-481-793-2,257-8,521-29,341-110,773-315,277-519,781-4,098,601-6,757,153-19,231,897-250,014,661

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