Q: What are the factor combinations of the number 250,845,125?

 A:
Positive:   1 x 2508451255 x 5016902519 x 1320237525 x 1003380595 x 2640475125 x 2006761475 x 5280952375 x 105619
Negative: -1 x -250845125-5 x -50169025-19 x -13202375-25 x -10033805-95 x -2640475-125 x -2006761-475 x -528095-2375 x -105619


How do I find the factor combinations of the number 250,845,125?

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 250,845,125, 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.

1 250,845,125
-1 -250,845,125

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 250,845,125.

Example:
1 x 250,845,125 = 250,845,125
and
-1 x -250,845,125 = 250,845,125
Notice both answers equal 250,845,125

With that explanation out of the way, let's continue. Next, we take the number 250,845,125 and divide it by 2:

250,845,125 ÷ 2 = 125,422,562.5

If the quotient is a whole number, then 2 and 125,422,562.5 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:

1 250,845,125
-1 -250,845,125

Now, we try dividing 250,845,125 by 3:

250,845,125 ÷ 3 = 83,615,041.6667

If the quotient is a whole number, then 3 and 83,615,041.6667 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:

1 250,845,125
-1 -250,845,125

Let's try dividing by 4:

250,845,125 ÷ 4 = 62,711,281.25

If the quotient is a whole number, then 4 and 62,711,281.25 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:

1 250,845,125
-1 250,845,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,375105,619528,0952,006,7612,640,47510,033,80513,202,37550,169,025250,845,125
-1-5-19-25-95-125-475-2,375-105,619-528,095-2,006,761-2,640,475-10,033,805-13,202,375-50,169,025-250,845,125

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