Q: What are the factor combinations of the number 548,275?

 A:
Positive:   1 x 5482755 x 1096557 x 7832513 x 4217525 x 2193135 x 1566565 x 843591 x 6025175 x 3133241 x 2275325 x 1687455 x 1205
Negative: -1 x -548275-5 x -109655-7 x -78325-13 x -42175-25 x -21931-35 x -15665-65 x -8435-91 x -6025-175 x -3133-241 x -2275-325 x -1687-455 x -1205


How do I find the factor combinations of the number 548,275?

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 548,275, 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.

1 548,275
-1 -548,275

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 548,275.

Example:
1 x 548,275 = 548,275
and
-1 x -548,275 = 548,275
Notice both answers equal 548,275

With that explanation out of the way, let's continue. Next, we take the number 548,275 and divide it by 2:

548,275 ÷ 2 = 274,137.5

If the quotient is a whole number, then 2 and 274,137.5 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:

1 548,275
-1 -548,275

Now, we try dividing 548,275 by 3:

548,275 ÷ 3 = 182,758.3333

If the quotient is a whole number, then 3 and 182,758.3333 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:

1 548,275
-1 -548,275

Let's try dividing by 4:

548,275 ÷ 4 = 137,068.75

If the quotient is a whole number, then 4 and 137,068.75 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:

1 548,275
-1 548,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911752413254551,2051,6872,2753,1336,0258,43515,66521,93142,17578,325109,655548,275
-1-5-7-13-25-35-65-91-175-241-325-455-1,205-1,687-2,275-3,133-6,025-8,435-15,665-21,931-42,175-78,325-109,655-548,275

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