Q: What are the factor combinations of the number 250,156,417?

 A:
Positive:   1 x 2501564177 x 3573663149 x 5105233109 x 2295013343 x 729319763 x 3278595341 x 468376691 x 37387
Negative: -1 x -250156417-7 x -35736631-49 x -5105233-109 x -2295013-343 x -729319-763 x -327859-5341 x -46837-6691 x -37387


How do I find the factor combinations of the number 250,156,417?

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 250,156,417, 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.

1 250,156,417
-1 -250,156,417

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 250,156,417.

Example:
1 x 250,156,417 = 250,156,417
and
-1 x -250,156,417 = 250,156,417
Notice both answers equal 250,156,417

With that explanation out of the way, let's continue. Next, we take the number 250,156,417 and divide it by 2:

250,156,417 ÷ 2 = 125,078,208.5

If the quotient is a whole number, then 2 and 125,078,208.5 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:

1 250,156,417
-1 -250,156,417

Now, we try dividing 250,156,417 by 3:

250,156,417 ÷ 3 = 83,385,472.3333

If the quotient is a whole number, then 3 and 83,385,472.3333 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:

1 250,156,417
-1 -250,156,417

Let's try dividing by 4:

250,156,417 ÷ 4 = 62,539,104.25

If the quotient is a whole number, then 4 and 62,539,104.25 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:

1 250,156,417
-1 250,156,417
Keep dividing by the next highest number until you cannot divide anymore.

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

17491093437635,3416,69137,38746,837327,859729,3192,295,0135,105,23335,736,631250,156,417
-1-7-49-109-343-763-5,341-6,691-37,387-46,837-327,859-729,319-2,295,013-5,105,233-35,736,631-250,156,417

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