Q: What are the factor combinations of the number 547,525?

 A:
Positive:   1 x 5475255 x 10950511 x 4977525 x 2190155 x 9955121 x 4525181 x 3025275 x 1991605 x 905
Negative: -1 x -547525-5 x -109505-11 x -49775-25 x -21901-55 x -9955-121 x -4525-181 x -3025-275 x -1991-605 x -905


How do I find the factor combinations of the number 547,525?

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 547,525, 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.

1 547,525
-1 -547,525

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 547,525.

Example:
1 x 547,525 = 547,525
and
-1 x -547,525 = 547,525
Notice both answers equal 547,525

With that explanation out of the way, let's continue. Next, we take the number 547,525 and divide it by 2:

547,525 ÷ 2 = 273,762.5

If the quotient is a whole number, then 2 and 273,762.5 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:

1 547,525
-1 -547,525

Now, we try dividing 547,525 by 3:

547,525 ÷ 3 = 182,508.3333

If the quotient is a whole number, then 3 and 182,508.3333 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:

1 547,525
-1 -547,525

Let's try dividing by 4:

547,525 ÷ 4 = 136,881.25

If the quotient is a whole number, then 4 and 136,881.25 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:

1 547,525
-1 547,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551211812756059051,9913,0254,5259,95521,90149,775109,505547,525
-1-5-11-25-55-121-181-275-605-905-1,991-3,025-4,525-9,955-21,901-49,775-109,505-547,525

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