Q: What are the factor combinations of the number 1,427,725?

 A:
Positive:   1 x 14277255 x 28554513 x 10982523 x 6207525 x 5710965 x 21965115 x 12415191 x 7475299 x 4775325 x 4393575 x 2483955 x 1495
Negative: -1 x -1427725-5 x -285545-13 x -109825-23 x -62075-25 x -57109-65 x -21965-115 x -12415-191 x -7475-299 x -4775-325 x -4393-575 x -2483-955 x -1495


How do I find the factor combinations of the number 1,427,725?

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 1,427,725, 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 1,427,725
-1 -1,427,725

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 1,427,725.

Example:
1 x 1,427,725 = 1,427,725
and
-1 x -1,427,725 = 1,427,725
Notice both answers equal 1,427,725

With that explanation out of the way, let's continue. Next, we take the number 1,427,725 and divide it by 2:

1,427,725 ÷ 2 = 713,862.5

If the quotient is a whole number, then 2 and 713,862.5 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 1,427,725
-1 -1,427,725

Now, we try dividing 1,427,725 by 3:

1,427,725 ÷ 3 = 475,908.3333

If the quotient is a whole number, then 3 and 475,908.3333 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 1,427,725
-1 -1,427,725

Let's try dividing by 4:

1,427,725 ÷ 4 = 356,931.25

If the quotient is a whole number, then 4 and 356,931.25 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 1,427,725
-1 1,427,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15132325651151912993255759551,4952,4834,3934,7757,47512,41521,96557,10962,075109,825285,5451,427,725
-1-5-13-23-25-65-115-191-299-325-575-955-1,495-2,483-4,393-4,775-7,475-12,415-21,965-57,109-62,075-109,825-285,545-1,427,725

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