Q: What are the factor combinations of the number 1,380,125?

 A:
Positive:   1 x 13801255 x 27602525 x 5520561 x 22625125 x 11041181 x 7625305 x 4525905 x 1525
Negative: -1 x -1380125-5 x -276025-25 x -55205-61 x -22625-125 x -11041-181 x -7625-305 x -4525-905 x -1525


How do I find the factor combinations of the number 1,380,125?

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 1,380,125, 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 1,380,125
-1 -1,380,125

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 1,380,125.

Example:
1 x 1,380,125 = 1,380,125
and
-1 x -1,380,125 = 1,380,125
Notice both answers equal 1,380,125

With that explanation out of the way, let's continue. Next, we take the number 1,380,125 and divide it by 2:

1,380,125 ÷ 2 = 690,062.5

If the quotient is a whole number, then 2 and 690,062.5 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 1,380,125
-1 -1,380,125

Now, we try dividing 1,380,125 by 3:

1,380,125 ÷ 3 = 460,041.6667

If the quotient is a whole number, then 3 and 460,041.6667 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 1,380,125
-1 -1,380,125

Let's try dividing by 4:

1,380,125 ÷ 4 = 345,031.25

If the quotient is a whole number, then 4 and 345,031.25 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 1,380,125
-1 1,380,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525611251813059051,5254,5257,62511,04122,62555,205276,0251,380,125
-1-5-25-61-125-181-305-905-1,525-4,525-7,625-11,041-22,625-55,205-276,025-1,380,125

More Examples

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