Q: What are the factor combinations of the number 250,057,171?

 A:
Positive:   1 x 2500571717 x 3572245313 x 1923516783 x 301273791 x 2747881581 x 4303911079 x 2317497553 x 33107
Negative: -1 x -250057171-7 x -35722453-13 x -19235167-83 x -3012737-91 x -2747881-581 x -430391-1079 x -231749-7553 x -33107


How do I find the factor combinations of the number 250,057,171?

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 250,057,171, 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.

1 250,057,171
-1 -250,057,171

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 250,057,171.

Example:
1 x 250,057,171 = 250,057,171
and
-1 x -250,057,171 = 250,057,171
Notice both answers equal 250,057,171

With that explanation out of the way, let's continue. Next, we take the number 250,057,171 and divide it by 2:

250,057,171 ÷ 2 = 125,028,585.5

If the quotient is a whole number, then 2 and 125,028,585.5 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:

1 250,057,171
-1 -250,057,171

Now, we try dividing 250,057,171 by 3:

250,057,171 ÷ 3 = 83,352,390.3333

If the quotient is a whole number, then 3 and 83,352,390.3333 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:

1 250,057,171
-1 -250,057,171

Let's try dividing by 4:

250,057,171 ÷ 4 = 62,514,292.75

If the quotient is a whole number, then 4 and 62,514,292.75 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:

1 250,057,171
-1 250,057,171
Keep dividing by the next highest number until you cannot divide anymore.

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

171383915811,0797,55333,107231,749430,3912,747,8813,012,73719,235,16735,722,453250,057,171
-1-7-13-83-91-581-1,079-7,553-33,107-231,749-430,391-2,747,881-3,012,737-19,235,167-35,722,453-250,057,171

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