Q: What are the factor combinations of the number 250,065,413?

 A:
Positive:   1 x 25006541313 x 1923580161 x 4099433127 x 1969019169 x 1479677191 x 1309243793 x 3153411651 x 1514632483 x 1007117747 x 3227910309 x 2425711651 x 21463
Negative: -1 x -250065413-13 x -19235801-61 x -4099433-127 x -1969019-169 x -1479677-191 x -1309243-793 x -315341-1651 x -151463-2483 x -100711-7747 x -32279-10309 x -24257-11651 x -21463


How do I find the factor combinations of the number 250,065,413?

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 250,065,413, 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.

1 250,065,413
-1 -250,065,413

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 250,065,413.

Example:
1 x 250,065,413 = 250,065,413
and
-1 x -250,065,413 = 250,065,413
Notice both answers equal 250,065,413

With that explanation out of the way, let's continue. Next, we take the number 250,065,413 and divide it by 2:

250,065,413 ÷ 2 = 125,032,706.5

If the quotient is a whole number, then 2 and 125,032,706.5 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:

1 250,065,413
-1 -250,065,413

Now, we try dividing 250,065,413 by 3:

250,065,413 ÷ 3 = 83,355,137.6667

If the quotient is a whole number, then 3 and 83,355,137.6667 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:

1 250,065,413
-1 -250,065,413

Let's try dividing by 4:

250,065,413 ÷ 4 = 62,516,353.25

If the quotient is a whole number, then 4 and 62,516,353.25 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:

1 250,065,413
-1 250,065,413
Keep dividing by the next highest number until you cannot divide anymore.

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

113611271691917931,6512,4837,74710,30911,65121,46324,25732,279100,711151,463315,3411,309,2431,479,6771,969,0194,099,43319,235,801250,065,413
-1-13-61-127-169-191-793-1,651-2,483-7,747-10,309-11,651-21,463-24,257-32,279-100,711-151,463-315,341-1,309,243-1,479,677-1,969,019-4,099,433-19,235,801-250,065,413

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