Q: What are the factor combinations of the number 1,682,725?

 A:
Positive:   1 x 16827255 x 33654511 x 15297525 x 6730929 x 5802555 x 30595145 x 11605211 x 7975275 x 6119319 x 5275725 x 23211055 x 1595
Negative: -1 x -1682725-5 x -336545-11 x -152975-25 x -67309-29 x -58025-55 x -30595-145 x -11605-211 x -7975-275 x -6119-319 x -5275-725 x -2321-1055 x -1595


How do I find the factor combinations of the number 1,682,725?

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 1,682,725, 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 1,682,725
-1 -1,682,725

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 1,682,725.

Example:
1 x 1,682,725 = 1,682,725
and
-1 x -1,682,725 = 1,682,725
Notice both answers equal 1,682,725

With that explanation out of the way, let's continue. Next, we take the number 1,682,725 and divide it by 2:

1,682,725 ÷ 2 = 841,362.5

If the quotient is a whole number, then 2 and 841,362.5 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 1,682,725
-1 -1,682,725

Now, we try dividing 1,682,725 by 3:

1,682,725 ÷ 3 = 560,908.3333

If the quotient is a whole number, then 3 and 560,908.3333 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 1,682,725
-1 -1,682,725

Let's try dividing by 4:

1,682,725 ÷ 4 = 420,681.25

If the quotient is a whole number, then 4 and 420,681.25 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 1,682,725
-1 1,682,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112529551452112753197251,0551,5952,3215,2756,1197,97511,60530,59558,02567,309152,975336,5451,682,725
-1-5-11-25-29-55-145-211-275-319-725-1,055-1,595-2,321-5,275-6,119-7,975-11,605-30,595-58,025-67,309-152,975-336,545-1,682,725

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