Q: What are the factor combinations of the number 250,062,851?

 A:
Positive:   1 x 25006285153 x 471816761 x 40993913233 x 77347
Negative: -1 x -250062851-53 x -4718167-61 x -4099391-3233 x -77347


How do I find the factor combinations of the number 250,062,851?

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 250,062,851, 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.

1 250,062,851
-1 -250,062,851

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 250,062,851.

Example:
1 x 250,062,851 = 250,062,851
and
-1 x -250,062,851 = 250,062,851
Notice both answers equal 250,062,851

With that explanation out of the way, let's continue. Next, we take the number 250,062,851 and divide it by 2:

250,062,851 ÷ 2 = 125,031,425.5

If the quotient is a whole number, then 2 and 125,031,425.5 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:

1 250,062,851
-1 -250,062,851

Now, we try dividing 250,062,851 by 3:

250,062,851 ÷ 3 = 83,354,283.6667

If the quotient is a whole number, then 3 and 83,354,283.6667 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:

1 250,062,851
-1 -250,062,851

Let's try dividing by 4:

250,062,851 ÷ 4 = 62,515,712.75

If the quotient is a whole number, then 4 and 62,515,712.75 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:

1 250,062,851
-1 250,062,851
Keep dividing by the next highest number until you cannot divide anymore.

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

153613,23377,3474,099,3914,718,167250,062,851
-1-53-61-3,233-77,347-4,099,391-4,718,167-250,062,851

More Examples

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