Q: What are the factor combinations of the number 5,403,425?

 A:
Positive:   1 x 54034255 x 108068525 x 21613729 x 186325145 x 37265257 x 21025725 x 7453841 x 64251285 x 4205
Negative: -1 x -5403425-5 x -1080685-25 x -216137-29 x -186325-145 x -37265-257 x -21025-725 x -7453-841 x -6425-1285 x -4205


How do I find the factor combinations of the number 5,403,425?

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 5,403,425, 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 5,403,425
-1 -5,403,425

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 5,403,425.

Example:
1 x 5,403,425 = 5,403,425
and
-1 x -5,403,425 = 5,403,425
Notice both answers equal 5,403,425

With that explanation out of the way, let's continue. Next, we take the number 5,403,425 and divide it by 2:

5,403,425 ÷ 2 = 2,701,712.5

If the quotient is a whole number, then 2 and 2,701,712.5 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 5,403,425
-1 -5,403,425

Now, we try dividing 5,403,425 by 3:

5,403,425 ÷ 3 = 1,801,141.6667

If the quotient is a whole number, then 3 and 1,801,141.6667 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 5,403,425
-1 -5,403,425

Let's try dividing by 4:

5,403,425 ÷ 4 = 1,350,856.25

If the quotient is a whole number, then 4 and 1,350,856.25 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 5,403,425
-1 5,403,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291452577258411,2854,2056,4257,45321,02537,265186,325216,1371,080,6855,403,425
-1-5-25-29-145-257-725-841-1,285-4,205-6,425-7,453-21,025-37,265-186,325-216,137-1,080,685-5,403,425

More Examples

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