Q: What are the factor combinations of the number 1,240,525?

 A:
Positive:   1 x 12405255 x 24810511 x 11277513 x 9542525 x 4962155 x 2255565 x 19085143 x 8675275 x 4511325 x 3817347 x 3575715 x 1735
Negative: -1 x -1240525-5 x -248105-11 x -112775-13 x -95425-25 x -49621-55 x -22555-65 x -19085-143 x -8675-275 x -4511-325 x -3817-347 x -3575-715 x -1735


How do I find the factor combinations of the number 1,240,525?

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 1,240,525, 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 1,240,525
-1 -1,240,525

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 1,240,525.

Example:
1 x 1,240,525 = 1,240,525
and
-1 x -1,240,525 = 1,240,525
Notice both answers equal 1,240,525

With that explanation out of the way, let's continue. Next, we take the number 1,240,525 and divide it by 2:

1,240,525 ÷ 2 = 620,262.5

If the quotient is a whole number, then 2 and 620,262.5 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 1,240,525
-1 -1,240,525

Now, we try dividing 1,240,525 by 3:

1,240,525 ÷ 3 = 413,508.3333

If the quotient is a whole number, then 3 and 413,508.3333 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 1,240,525
-1 -1,240,525

Let's try dividing by 4:

1,240,525 ÷ 4 = 310,131.25

If the quotient is a whole number, then 4 and 310,131.25 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 1,240,525
-1 1,240,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753253477151,7353,5753,8174,5118,67519,08522,55549,62195,425112,775248,1051,240,525
-1-5-11-13-25-55-65-143-275-325-347-715-1,735-3,575-3,817-4,511-8,675-19,085-22,555-49,621-95,425-112,775-248,105-1,240,525

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