Q: What are the factor combinations of the number 250,562,741?

 A:
Positive:   1 x 25056274111 x 2277843113 x 19274057143 x 1752187
Negative: -1 x -250562741-11 x -22778431-13 x -19274057-143 x -1752187


How do I find the factor combinations of the number 250,562,741?

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 250,562,741, 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.

1 250,562,741
-1 -250,562,741

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 250,562,741.

Example:
1 x 250,562,741 = 250,562,741
and
-1 x -250,562,741 = 250,562,741
Notice both answers equal 250,562,741

With that explanation out of the way, let's continue. Next, we take the number 250,562,741 and divide it by 2:

250,562,741 ÷ 2 = 125,281,370.5

If the quotient is a whole number, then 2 and 125,281,370.5 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:

1 250,562,741
-1 -250,562,741

Now, we try dividing 250,562,741 by 3:

250,562,741 ÷ 3 = 83,520,913.6667

If the quotient is a whole number, then 3 and 83,520,913.6667 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:

1 250,562,741
-1 -250,562,741

Let's try dividing by 4:

250,562,741 ÷ 4 = 62,640,685.25

If the quotient is a whole number, then 4 and 62,640,685.25 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:

1 250,562,741
-1 250,562,741
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431,752,18719,274,05722,778,431250,562,741
-1-11-13-143-1,752,187-19,274,057-22,778,431-250,562,741

More Examples

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