Q: What are the factor combinations of the number 250,680,157?

 A:
Positive:   1 x 2506801577 x 3581145113 x 1928308991 x 2754727971 x 2581672837 x 883616797 x 3688112623 x 19859
Negative: -1 x -250680157-7 x -35811451-13 x -19283089-91 x -2754727-971 x -258167-2837 x -88361-6797 x -36881-12623 x -19859


How do I find the factor combinations of the number 250,680,157?

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 250,680,157, 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.

1 250,680,157
-1 -250,680,157

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 250,680,157.

Example:
1 x 250,680,157 = 250,680,157
and
-1 x -250,680,157 = 250,680,157
Notice both answers equal 250,680,157

With that explanation out of the way, let's continue. Next, we take the number 250,680,157 and divide it by 2:

250,680,157 ÷ 2 = 125,340,078.5

If the quotient is a whole number, then 2 and 125,340,078.5 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:

1 250,680,157
-1 -250,680,157

Now, we try dividing 250,680,157 by 3:

250,680,157 ÷ 3 = 83,560,052.3333

If the quotient is a whole number, then 3 and 83,560,052.3333 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:

1 250,680,157
-1 -250,680,157

Let's try dividing by 4:

250,680,157 ÷ 4 = 62,670,039.25

If the quotient is a whole number, then 4 and 62,670,039.25 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:

1 250,680,157
-1 250,680,157
Keep dividing by the next highest number until you cannot divide anymore.

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

1713919712,8376,79712,62319,85936,88188,361258,1672,754,72719,283,08935,811,451250,680,157
-1-7-13-91-971-2,837-6,797-12,623-19,859-36,881-88,361-258,167-2,754,727-19,283,089-35,811,451-250,680,157

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