Q: What are the factor combinations of the number 1,426,075?

 A:
Positive:   1 x 14260755 x 2852157 x 20372525 x 5704329 x 4917535 x 40745145 x 9835175 x 8149203 x 7025281 x 5075725 x 19671015 x 1405
Negative: -1 x -1426075-5 x -285215-7 x -203725-25 x -57043-29 x -49175-35 x -40745-145 x -9835-175 x -8149-203 x -7025-281 x -5075-725 x -1967-1015 x -1405


How do I find the factor combinations of the number 1,426,075?

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 1,426,075, 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 1,426,075
-1 -1,426,075

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 1,426,075.

Example:
1 x 1,426,075 = 1,426,075
and
-1 x -1,426,075 = 1,426,075
Notice both answers equal 1,426,075

With that explanation out of the way, let's continue. Next, we take the number 1,426,075 and divide it by 2:

1,426,075 ÷ 2 = 713,037.5

If the quotient is a whole number, then 2 and 713,037.5 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 1,426,075
-1 -1,426,075

Now, we try dividing 1,426,075 by 3:

1,426,075 ÷ 3 = 475,358.3333

If the quotient is a whole number, then 3 and 475,358.3333 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 1,426,075
-1 -1,426,075

Let's try dividing by 4:

1,426,075 ÷ 4 = 356,518.75

If the quotient is a whole number, then 4 and 356,518.75 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 1,426,075
-1 1,426,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1572529351451752032817251,0151,4051,9675,0757,0258,1499,83540,74549,17557,043203,725285,2151,426,075
-1-5-7-25-29-35-145-175-203-281-725-1,015-1,405-1,967-5,075-7,025-8,149-9,835-40,745-49,175-57,043-203,725-285,215-1,426,075

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