Q: What are the factor combinations of the number 1,043,525?

 A:
Positive:   1 x 10435255 x 2087057 x 14907525 x 4174135 x 2981567 x 1557589 x 11725175 x 5963335 x 3115445 x 2345469 x 2225623 x 1675
Negative: -1 x -1043525-5 x -208705-7 x -149075-25 x -41741-35 x -29815-67 x -15575-89 x -11725-175 x -5963-335 x -3115-445 x -2345-469 x -2225-623 x -1675


How do I find the factor combinations of the number 1,043,525?

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 1,043,525, 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 1,043,525
-1 -1,043,525

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 1,043,525.

Example:
1 x 1,043,525 = 1,043,525
and
-1 x -1,043,525 = 1,043,525
Notice both answers equal 1,043,525

With that explanation out of the way, let's continue. Next, we take the number 1,043,525 and divide it by 2:

1,043,525 ÷ 2 = 521,762.5

If the quotient is a whole number, then 2 and 521,762.5 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 1,043,525
-1 -1,043,525

Now, we try dividing 1,043,525 by 3:

1,043,525 ÷ 3 = 347,841.6667

If the quotient is a whole number, then 3 and 347,841.6667 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 1,043,525
-1 -1,043,525

Let's try dividing by 4:

1,043,525 ÷ 4 = 260,881.25

If the quotient is a whole number, then 4 and 260,881.25 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 1,043,525
-1 1,043,525
Keep dividing by the next highest number until you cannot divide anymore.

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

157253567891753354454696231,6752,2252,3453,1155,96311,72515,57529,81541,741149,075208,7051,043,525
-1-5-7-25-35-67-89-175-335-445-469-623-1,675-2,225-2,345-3,115-5,963-11,725-15,575-29,815-41,741-149,075-208,705-1,043,525

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