Q: What are the factor combinations of the number 125,000,245?

 A:
Positive:   1 x 1250002455 x 2500004937 x 3378385185 x 675677709 x 176305953 x 1311653545 x 352614765 x 26233
Negative: -1 x -125000245-5 x -25000049-37 x -3378385-185 x -675677-709 x -176305-953 x -131165-3545 x -35261-4765 x -26233


How do I find the factor combinations of the number 125,000,245?

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 125,000,245, 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.

1 125,000,245
-1 -125,000,245

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 125,000,245.

Example:
1 x 125,000,245 = 125,000,245
and
-1 x -125,000,245 = 125,000,245
Notice both answers equal 125,000,245

With that explanation out of the way, let's continue. Next, we take the number 125,000,245 and divide it by 2:

125,000,245 ÷ 2 = 62,500,122.5

If the quotient is a whole number, then 2 and 62,500,122.5 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:

1 125,000,245
-1 -125,000,245

Now, we try dividing 125,000,245 by 3:

125,000,245 ÷ 3 = 41,666,748.3333

If the quotient is a whole number, then 3 and 41,666,748.3333 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:

1 125,000,245
-1 -125,000,245

Let's try dividing by 4:

125,000,245 ÷ 4 = 31,250,061.25

If the quotient is a whole number, then 4 and 31,250,061.25 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:

1 125,000,245
-1 125,000,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15371857099533,5454,76526,23335,261131,165176,305675,6773,378,38525,000,049125,000,245
-1-5-37-185-709-953-3,545-4,765-26,233-35,261-131,165-176,305-675,677-3,378,385-25,000,049-125,000,245

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