Q: What are the factor combinations of the number 250,546,093?

 A:
Positive:   1 x 2505460937 x 3579229961 x 4107313427 x 5867593721 x 673339619 x 26047
Negative: -1 x -250546093-7 x -35792299-61 x -4107313-427 x -586759-3721 x -67333-9619 x -26047


How do I find the factor combinations of the number 250,546,093?

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 250,546,093, 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.

1 250,546,093
-1 -250,546,093

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 250,546,093.

Example:
1 x 250,546,093 = 250,546,093
and
-1 x -250,546,093 = 250,546,093
Notice both answers equal 250,546,093

With that explanation out of the way, let's continue. Next, we take the number 250,546,093 and divide it by 2:

250,546,093 ÷ 2 = 125,273,046.5

If the quotient is a whole number, then 2 and 125,273,046.5 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:

1 250,546,093
-1 -250,546,093

Now, we try dividing 250,546,093 by 3:

250,546,093 ÷ 3 = 83,515,364.3333

If the quotient is a whole number, then 3 and 83,515,364.3333 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:

1 250,546,093
-1 -250,546,093

Let's try dividing by 4:

250,546,093 ÷ 4 = 62,636,523.25

If the quotient is a whole number, then 4 and 62,636,523.25 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:

1 250,546,093
-1 250,546,093
Keep dividing by the next highest number until you cannot divide anymore.

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

17614273,7219,61926,04767,333586,7594,107,31335,792,299250,546,093
-1-7-61-427-3,721-9,619-26,047-67,333-586,759-4,107,313-35,792,299-250,546,093

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