Q: What are the factor combinations of the number 2,679,125?

 A:
Positive:   1 x 26791255 x 53582525 x 107165125 x 21433
Negative: -1 x -2679125-5 x -535825-25 x -107165-125 x -21433


How do I find the factor combinations of the number 2,679,125?

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 2,679,125, 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 2,679,125
-1 -2,679,125

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 2,679,125.

Example:
1 x 2,679,125 = 2,679,125
and
-1 x -2,679,125 = 2,679,125
Notice both answers equal 2,679,125

With that explanation out of the way, let's continue. Next, we take the number 2,679,125 and divide it by 2:

2,679,125 ÷ 2 = 1,339,562.5

If the quotient is a whole number, then 2 and 1,339,562.5 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 2,679,125
-1 -2,679,125

Now, we try dividing 2,679,125 by 3:

2,679,125 ÷ 3 = 893,041.6667

If the quotient is a whole number, then 3 and 893,041.6667 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 2,679,125
-1 -2,679,125

Let's try dividing by 4:

2,679,125 ÷ 4 = 669,781.25

If the quotient is a whole number, then 4 and 669,781.25 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 2,679,125
-1 2,679,125
Keep dividing by the next highest number until you cannot divide anymore.

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

152512521,433107,165535,8252,679,125
-1-5-25-125-21,433-107,165-535,825-2,679,125

More Examples

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