Q: What are the factor combinations of the number 250,352,065?

 A:
Positive:   1 x 2503520655 x 50070413113 x 2215505223 x 1122655565 x 4431011115 x 2245311987 x 1259959935 x 25199
Negative: -1 x -250352065-5 x -50070413-113 x -2215505-223 x -1122655-565 x -443101-1115 x -224531-1987 x -125995-9935 x -25199


How do I find the factor combinations of the number 250,352,065?

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 250,352,065, 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.

1 250,352,065
-1 -250,352,065

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 250,352,065.

Example:
1 x 250,352,065 = 250,352,065
and
-1 x -250,352,065 = 250,352,065
Notice both answers equal 250,352,065

With that explanation out of the way, let's continue. Next, we take the number 250,352,065 and divide it by 2:

250,352,065 ÷ 2 = 125,176,032.5

If the quotient is a whole number, then 2 and 125,176,032.5 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:

1 250,352,065
-1 -250,352,065

Now, we try dividing 250,352,065 by 3:

250,352,065 ÷ 3 = 83,450,688.3333

If the quotient is a whole number, then 3 and 83,450,688.3333 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:

1 250,352,065
-1 -250,352,065

Let's try dividing by 4:

250,352,065 ÷ 4 = 62,588,016.25

If the quotient is a whole number, then 4 and 62,588,016.25 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:

1 250,352,065
-1 250,352,065
Keep dividing by the next highest number until you cannot divide anymore.

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

151132235651,1151,9879,93525,199125,995224,531443,1011,122,6552,215,50550,070,413250,352,065
-1-5-113-223-565-1,115-1,987-9,935-25,199-125,995-224,531-443,101-1,122,655-2,215,505-50,070,413-250,352,065

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