Q: What are the factor combinations of the number 547,375?

 A:
Positive:   1 x 5473755 x 10947525 x 2189529 x 18875125 x 4379145 x 3775151 x 3625725 x 755
Negative: -1 x -547375-5 x -109475-25 x -21895-29 x -18875-125 x -4379-145 x -3775-151 x -3625-725 x -755


How do I find the factor combinations of the number 547,375?

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 547,375, 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.

1 547,375
-1 -547,375

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 547,375.

Example:
1 x 547,375 = 547,375
and
-1 x -547,375 = 547,375
Notice both answers equal 547,375

With that explanation out of the way, let's continue. Next, we take the number 547,375 and divide it by 2:

547,375 ÷ 2 = 273,687.5

If the quotient is a whole number, then 2 and 273,687.5 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:

1 547,375
-1 -547,375

Now, we try dividing 547,375 by 3:

547,375 ÷ 3 = 182,458.3333

If the quotient is a whole number, then 3 and 182,458.3333 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:

1 547,375
-1 -547,375

Let's try dividing by 4:

547,375 ÷ 4 = 136,843.75

If the quotient is a whole number, then 4 and 136,843.75 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:

1 547,375
-1 547,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291251451517257553,6253,7754,37918,87521,895109,475547,375
-1-5-25-29-125-145-151-725-755-3,625-3,775-4,379-18,875-21,895-109,475-547,375

More Examples

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