Q: What are the factor combinations of the number 1,252,075?

 A:
Positive:   1 x 12520755 x 25041511 x 11382525 x 5008329 x 4317555 x 22765145 x 8635157 x 7975275 x 4553319 x 3925725 x 1727785 x 1595
Negative: -1 x -1252075-5 x -250415-11 x -113825-25 x -50083-29 x -43175-55 x -22765-145 x -8635-157 x -7975-275 x -4553-319 x -3925-725 x -1727-785 x -1595


How do I find the factor combinations of the number 1,252,075?

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 1,252,075, 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 1,252,075
-1 -1,252,075

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 1,252,075.

Example:
1 x 1,252,075 = 1,252,075
and
-1 x -1,252,075 = 1,252,075
Notice both answers equal 1,252,075

With that explanation out of the way, let's continue. Next, we take the number 1,252,075 and divide it by 2:

1,252,075 ÷ 2 = 626,037.5

If the quotient is a whole number, then 2 and 626,037.5 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 1,252,075
-1 -1,252,075

Now, we try dividing 1,252,075 by 3:

1,252,075 ÷ 3 = 417,358.3333

If the quotient is a whole number, then 3 and 417,358.3333 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 1,252,075
-1 -1,252,075

Let's try dividing by 4:

1,252,075 ÷ 4 = 313,018.75

If the quotient is a whole number, then 4 and 313,018.75 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 1,252,075
-1 1,252,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15112529551451572753197257851,5951,7273,9254,5537,9758,63522,76543,17550,083113,825250,4151,252,075
-1-5-11-25-29-55-145-157-275-319-725-785-1,595-1,727-3,925-4,553-7,975-8,635-22,765-43,175-50,083-113,825-250,415-1,252,075

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