Q: What are the factor combinations of the number 548,405?

 A:
Positive:   1 x 5484055 x 10968111 x 4985513 x 4218555 x 997159 x 929565 x 8437143 x 3835169 x 3245295 x 1859649 x 845715 x 767
Negative: -1 x -548405-5 x -109681-11 x -49855-13 x -42185-55 x -9971-59 x -9295-65 x -8437-143 x -3835-169 x -3245-295 x -1859-649 x -845-715 x -767


How do I find the factor combinations of the number 548,405?

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 548,405, 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.

1 548,405
-1 -548,405

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 548,405.

Example:
1 x 548,405 = 548,405
and
-1 x -548,405 = 548,405
Notice both answers equal 548,405

With that explanation out of the way, let's continue. Next, we take the number 548,405 and divide it by 2:

548,405 ÷ 2 = 274,202.5

If the quotient is a whole number, then 2 and 274,202.5 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:

1 548,405
-1 -548,405

Now, we try dividing 548,405 by 3:

548,405 ÷ 3 = 182,801.6667

If the quotient is a whole number, then 3 and 182,801.6667 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:

1 548,405
-1 -548,405

Let's try dividing by 4:

548,405 ÷ 4 = 137,101.25

If the quotient is a whole number, then 4 and 137,101.25 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:

1 548,405
-1 548,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135559651431692956497157678451,8593,2453,8358,4379,2959,97142,18549,855109,681548,405
-1-5-11-13-55-59-65-143-169-295-649-715-767-845-1,859-3,245-3,835-8,437-9,295-9,971-42,185-49,855-109,681-548,405

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