Q: What are the factor combinations of the number 1,548,485?

 A:
Positive:   1 x 15484855 x 30969761 x 25385305 x 5077
Negative: -1 x -1548485-5 x -309697-61 x -25385-305 x -5077


How do I find the factor combinations of the number 1,548,485?

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 1,548,485, 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 1,548,485
-1 -1,548,485

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 1,548,485.

Example:
1 x 1,548,485 = 1,548,485
and
-1 x -1,548,485 = 1,548,485
Notice both answers equal 1,548,485

With that explanation out of the way, let's continue. Next, we take the number 1,548,485 and divide it by 2:

1,548,485 ÷ 2 = 774,242.5

If the quotient is a whole number, then 2 and 774,242.5 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 1,548,485
-1 -1,548,485

Now, we try dividing 1,548,485 by 3:

1,548,485 ÷ 3 = 516,161.6667

If the quotient is a whole number, then 3 and 516,161.6667 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 1,548,485
-1 -1,548,485

Let's try dividing by 4:

1,548,485 ÷ 4 = 387,121.25

If the quotient is a whole number, then 4 and 387,121.25 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 1,548,485
-1 1,548,485
Keep dividing by the next highest number until you cannot divide anymore.

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

15613055,07725,385309,6971,548,485
-1-5-61-305-5,077-25,385-309,697-1,548,485

More Examples

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