Q: What are the factor combinations of the number 10,482,125?

 A:
Positive:   1 x 104821255 x 209642525 x 419285125 x 83857
Negative: -1 x -10482125-5 x -2096425-25 x -419285-125 x -83857


How do I find the factor combinations of the number 10,482,125?

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 10,482,125, 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 10,482,125
-1 -10,482,125

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 10,482,125.

Example:
1 x 10,482,125 = 10,482,125
and
-1 x -10,482,125 = 10,482,125
Notice both answers equal 10,482,125

With that explanation out of the way, let's continue. Next, we take the number 10,482,125 and divide it by 2:

10,482,125 ÷ 2 = 5,241,062.5

If the quotient is a whole number, then 2 and 5,241,062.5 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 10,482,125
-1 -10,482,125

Now, we try dividing 10,482,125 by 3:

10,482,125 ÷ 3 = 3,494,041.6667

If the quotient is a whole number, then 3 and 3,494,041.6667 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 10,482,125
-1 -10,482,125

Let's try dividing by 4:

10,482,125 ÷ 4 = 2,620,531.25

If the quotient is a whole number, then 4 and 2,620,531.25 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 10,482,125
-1 10,482,125
Keep dividing by the next highest number until you cannot divide anymore.

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

152512583,857419,2852,096,42510,482,125
-1-5-25-125-83,857-419,285-2,096,425-10,482,125

More Examples

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