Q: What are the factor combinations of the number 250,655,245?

 A:
Positive:   1 x 2506552455 x 50131049467 x 5367352335 x 107347
Negative: -1 x -250655245-5 x -50131049-467 x -536735-2335 x -107347


How do I find the factor combinations of the number 250,655,245?

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 250,655,245, 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.

1 250,655,245
-1 -250,655,245

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 250,655,245.

Example:
1 x 250,655,245 = 250,655,245
and
-1 x -250,655,245 = 250,655,245
Notice both answers equal 250,655,245

With that explanation out of the way, let's continue. Next, we take the number 250,655,245 and divide it by 2:

250,655,245 ÷ 2 = 125,327,622.5

If the quotient is a whole number, then 2 and 125,327,622.5 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:

1 250,655,245
-1 -250,655,245

Now, we try dividing 250,655,245 by 3:

250,655,245 ÷ 3 = 83,551,748.3333

If the quotient is a whole number, then 3 and 83,551,748.3333 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:

1 250,655,245
-1 -250,655,245

Let's try dividing by 4:

250,655,245 ÷ 4 = 62,663,811.25

If the quotient is a whole number, then 4 and 62,663,811.25 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:

1 250,655,245
-1 250,655,245
Keep dividing by the next highest number until you cannot divide anymore.

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

154672,335107,347536,73550,131,049250,655,245
-1-5-467-2,335-107,347-536,735-50,131,049-250,655,245

More Examples

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