Q: What are the factor combinations of the number 250,004,035?

 A:
Positive:   1 x 2500040355 x 50000807109 x 2293615545 x 458723647 x 386405709 x 3526153235 x 772813545 x 70523
Negative: -1 x -250004035-5 x -50000807-109 x -2293615-545 x -458723-647 x -386405-709 x -352615-3235 x -77281-3545 x -70523


How do I find the factor combinations of the number 250,004,035?

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 250,004,035, 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.

1 250,004,035
-1 -250,004,035

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 250,004,035.

Example:
1 x 250,004,035 = 250,004,035
and
-1 x -250,004,035 = 250,004,035
Notice both answers equal 250,004,035

With that explanation out of the way, let's continue. Next, we take the number 250,004,035 and divide it by 2:

250,004,035 ÷ 2 = 125,002,017.5

If the quotient is a whole number, then 2 and 125,002,017.5 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:

1 250,004,035
-1 -250,004,035

Now, we try dividing 250,004,035 by 3:

250,004,035 ÷ 3 = 83,334,678.3333

If the quotient is a whole number, then 3 and 83,334,678.3333 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:

1 250,004,035
-1 -250,004,035

Let's try dividing by 4:

250,004,035 ÷ 4 = 62,501,008.75

If the quotient is a whole number, then 4 and 62,501,008.75 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:

1 250,004,035
-1 250,004,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151095456477093,2353,54570,52377,281352,615386,405458,7232,293,61550,000,807250,004,035
-1-5-109-545-647-709-3,235-3,545-70,523-77,281-352,615-386,405-458,723-2,293,615-50,000,807-250,004,035

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