Q: What are the factor combinations of the number 549,875?

 A:
Positive:   1 x 5498755 x 10997525 x 2199553 x 1037583 x 6625125 x 4399265 x 2075415 x 1325
Negative: -1 x -549875-5 x -109975-25 x -21995-53 x -10375-83 x -6625-125 x -4399-265 x -2075-415 x -1325


How do I find the factor combinations of the number 549,875?

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 549,875, 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.

1 549,875
-1 -549,875

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 549,875.

Example:
1 x 549,875 = 549,875
and
-1 x -549,875 = 549,875
Notice both answers equal 549,875

With that explanation out of the way, let's continue. Next, we take the number 549,875 and divide it by 2:

549,875 ÷ 2 = 274,937.5

If the quotient is a whole number, then 2 and 274,937.5 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:

1 549,875
-1 -549,875

Now, we try dividing 549,875 by 3:

549,875 ÷ 3 = 183,291.6667

If the quotient is a whole number, then 3 and 183,291.6667 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:

1 549,875
-1 -549,875

Let's try dividing by 4:

549,875 ÷ 4 = 137,468.75

If the quotient is a whole number, then 4 and 137,468.75 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:

1 549,875
-1 549,875
Keep dividing by the next highest number until you cannot divide anymore.

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

152553831252654151,3252,0754,3996,62510,37521,995109,975549,875
-1-5-25-53-83-125-265-415-1,325-2,075-4,399-6,625-10,375-21,995-109,975-549,875

More Examples

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