Q: What are the factor combinations of the number 4,542,425?

 A:
Positive:   1 x 45424255 x 90848519 x 23907525 x 18169773 x 6222595 x 47815131 x 34675365 x 12445475 x 9563655 x 69351387 x 32751825 x 2489
Negative: -1 x -4542425-5 x -908485-19 x -239075-25 x -181697-73 x -62225-95 x -47815-131 x -34675-365 x -12445-475 x -9563-655 x -6935-1387 x -3275-1825 x -2489


How do I find the factor combinations of the number 4,542,425?

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 4,542,425, 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 4,542,425
-1 -4,542,425

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 4,542,425.

Example:
1 x 4,542,425 = 4,542,425
and
-1 x -4,542,425 = 4,542,425
Notice both answers equal 4,542,425

With that explanation out of the way, let's continue. Next, we take the number 4,542,425 and divide it by 2:

4,542,425 ÷ 2 = 2,271,212.5

If the quotient is a whole number, then 2 and 2,271,212.5 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 4,542,425
-1 -4,542,425

Now, we try dividing 4,542,425 by 3:

4,542,425 ÷ 3 = 1,514,141.6667

If the quotient is a whole number, then 3 and 1,514,141.6667 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 4,542,425
-1 -4,542,425

Let's try dividing by 4:

4,542,425 ÷ 4 = 1,135,606.25

If the quotient is a whole number, then 4 and 1,135,606.25 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 4,542,425
-1 4,542,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192573951313654756551,3871,8252,4893,2756,9359,56312,44534,67547,81562,225181,697239,075908,4854,542,425
-1-5-19-25-73-95-131-365-475-655-1,387-1,825-2,489-3,275-6,935-9,563-12,445-34,675-47,815-62,225-181,697-239,075-908,485-4,542,425

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