Q: What are the factor combinations of the number 250,063,685?

 A:
Positive:   1 x 2500636855 x 500127371279 x 1955156395 x 39103
Negative: -1 x -250063685-5 x -50012737-1279 x -195515-6395 x -39103


How do I find the factor combinations of the number 250,063,685?

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 250,063,685, 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.

1 250,063,685
-1 -250,063,685

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 250,063,685.

Example:
1 x 250,063,685 = 250,063,685
and
-1 x -250,063,685 = 250,063,685
Notice both answers equal 250,063,685

With that explanation out of the way, let's continue. Next, we take the number 250,063,685 and divide it by 2:

250,063,685 ÷ 2 = 125,031,842.5

If the quotient is a whole number, then 2 and 125,031,842.5 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:

1 250,063,685
-1 -250,063,685

Now, we try dividing 250,063,685 by 3:

250,063,685 ÷ 3 = 83,354,561.6667

If the quotient is a whole number, then 3 and 83,354,561.6667 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:

1 250,063,685
-1 -250,063,685

Let's try dividing by 4:

250,063,685 ÷ 4 = 62,515,921.25

If the quotient is a whole number, then 4 and 62,515,921.25 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:

1 250,063,685
-1 250,063,685
Keep dividing by the next highest number until you cannot divide anymore.

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

151,2796,39539,103195,51550,012,737250,063,685
-1-5-1,279-6,395-39,103-195,515-50,012,737-250,063,685

More Examples

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