Q: What are the factor combinations of the number 250,200,275?

 A:
Positive:   1 x 2502002755 x 5004005513 x 1924617525 x 1000801165 x 3849235169 x 1480475325 x 769847845 x 2960954225 x 59219
Negative: -1 x -250200275-5 x -50040055-13 x -19246175-25 x -10008011-65 x -3849235-169 x -1480475-325 x -769847-845 x -296095-4225 x -59219


How do I find the factor combinations of the number 250,200,275?

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 250,200,275, 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.

1 250,200,275
-1 -250,200,275

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 250,200,275.

Example:
1 x 250,200,275 = 250,200,275
and
-1 x -250,200,275 = 250,200,275
Notice both answers equal 250,200,275

With that explanation out of the way, let's continue. Next, we take the number 250,200,275 and divide it by 2:

250,200,275 ÷ 2 = 125,100,137.5

If the quotient is a whole number, then 2 and 125,100,137.5 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:

1 250,200,275
-1 -250,200,275

Now, we try dividing 250,200,275 by 3:

250,200,275 ÷ 3 = 83,400,091.6667

If the quotient is a whole number, then 3 and 83,400,091.6667 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:

1 250,200,275
-1 -250,200,275

Let's try dividing by 4:

250,200,275 ÷ 4 = 62,550,068.75

If the quotient is a whole number, then 4 and 62,550,068.75 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:

1 250,200,275
-1 250,200,275
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651693258454,22559,219296,095769,8471,480,4753,849,23510,008,01119,246,17550,040,055250,200,275
-1-5-13-25-65-169-325-845-4,225-59,219-296,095-769,847-1,480,475-3,849,235-10,008,011-19,246,175-50,040,055-250,200,275

More Examples

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