Q: What are the factor combinations of the number 250,024,135?

 A:
Positive:   1 x 2500241355 x 5000482719 x 1315916595 x 2631833
Negative: -1 x -250024135-5 x -50004827-19 x -13159165-95 x -2631833


How do I find the factor combinations of the number 250,024,135?

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 250,024,135, 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.

1 250,024,135
-1 -250,024,135

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 250,024,135.

Example:
1 x 250,024,135 = 250,024,135
and
-1 x -250,024,135 = 250,024,135
Notice both answers equal 250,024,135

With that explanation out of the way, let's continue. Next, we take the number 250,024,135 and divide it by 2:

250,024,135 ÷ 2 = 125,012,067.5

If the quotient is a whole number, then 2 and 125,012,067.5 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:

1 250,024,135
-1 -250,024,135

Now, we try dividing 250,024,135 by 3:

250,024,135 ÷ 3 = 83,341,378.3333

If the quotient is a whole number, then 3 and 83,341,378.3333 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:

1 250,024,135
-1 -250,024,135

Let's try dividing by 4:

250,024,135 ÷ 4 = 62,506,033.75

If the quotient is a whole number, then 4 and 62,506,033.75 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:

1 250,024,135
-1 250,024,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952,631,83313,159,16550,004,827250,024,135
-1-5-19-95-2,631,833-13,159,165-50,004,827-250,024,135

More Examples

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