Q: What are the factor combinations of the number 2,042,425?

 A:
Positive:   1 x 20424255 x 4084857 x 29177511 x 18567525 x 8169735 x 5835555 x 3713577 x 26525175 x 11671275 x 7427385 x 53051061 x 1925
Negative: -1 x -2042425-5 x -408485-7 x -291775-11 x -185675-25 x -81697-35 x -58355-55 x -37135-77 x -26525-175 x -11671-275 x -7427-385 x -5305-1061 x -1925


How do I find the factor combinations of the number 2,042,425?

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 2,042,425, 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 2,042,425
-1 -2,042,425

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 2,042,425.

Example:
1 x 2,042,425 = 2,042,425
and
-1 x -2,042,425 = 2,042,425
Notice both answers equal 2,042,425

With that explanation out of the way, let's continue. Next, we take the number 2,042,425 and divide it by 2:

2,042,425 ÷ 2 = 1,021,212.5

If the quotient is a whole number, then 2 and 1,021,212.5 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 2,042,425
-1 -2,042,425

Now, we try dividing 2,042,425 by 3:

2,042,425 ÷ 3 = 680,808.3333

If the quotient is a whole number, then 3 and 680,808.3333 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 2,042,425
-1 -2,042,425

Let's try dividing by 4:

2,042,425 ÷ 4 = 510,606.25

If the quotient is a whole number, then 4 and 510,606.25 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 2,042,425
-1 2,042,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,0611,9255,3057,42711,67126,52537,13558,35581,697185,675291,775408,4852,042,425
-1-5-7-11-25-35-55-77-175-275-385-1,061-1,925-5,305-7,427-11,671-26,525-37,135-58,355-81,697-185,675-291,775-408,485-2,042,425

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