Q: What are the factor combinations of the number 250,015,357?

 A:
Positive:   1 x 25001535719 x 13158703389 x 6427137391 x 33827
Negative: -1 x -250015357-19 x -13158703-389 x -642713-7391 x -33827


How do I find the factor combinations of the number 250,015,357?

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 250,015,357, 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.

1 250,015,357
-1 -250,015,357

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 250,015,357.

Example:
1 x 250,015,357 = 250,015,357
and
-1 x -250,015,357 = 250,015,357
Notice both answers equal 250,015,357

With that explanation out of the way, let's continue. Next, we take the number 250,015,357 and divide it by 2:

250,015,357 ÷ 2 = 125,007,678.5

If the quotient is a whole number, then 2 and 125,007,678.5 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:

1 250,015,357
-1 -250,015,357

Now, we try dividing 250,015,357 by 3:

250,015,357 ÷ 3 = 83,338,452.3333

If the quotient is a whole number, then 3 and 83,338,452.3333 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:

1 250,015,357
-1 -250,015,357

Let's try dividing by 4:

250,015,357 ÷ 4 = 62,503,839.25

If the quotient is a whole number, then 4 and 62,503,839.25 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:

1 250,015,357
-1 250,015,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1193897,39133,827642,71313,158,703250,015,357
-1-19-389-7,391-33,827-642,713-13,158,703-250,015,357

More Examples

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