Q: What are the factor combinations of the number 6,008,225?

 A:
Positive:   1 x 60082255 x 120164517 x 35342525 x 24032967 x 8967585 x 70685211 x 28475335 x 17935425 x 141371055 x 56951139 x 52751675 x 3587
Negative: -1 x -6008225-5 x -1201645-17 x -353425-25 x -240329-67 x -89675-85 x -70685-211 x -28475-335 x -17935-425 x -14137-1055 x -5695-1139 x -5275-1675 x -3587


How do I find the factor combinations of the number 6,008,225?

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 6,008,225, 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 6,008,225
-1 -6,008,225

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 6,008,225.

Example:
1 x 6,008,225 = 6,008,225
and
-1 x -6,008,225 = 6,008,225
Notice both answers equal 6,008,225

With that explanation out of the way, let's continue. Next, we take the number 6,008,225 and divide it by 2:

6,008,225 ÷ 2 = 3,004,112.5

If the quotient is a whole number, then 2 and 3,004,112.5 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 6,008,225
-1 -6,008,225

Now, we try dividing 6,008,225 by 3:

6,008,225 ÷ 3 = 2,002,741.6667

If the quotient is a whole number, then 3 and 2,002,741.6667 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 6,008,225
-1 -6,008,225

Let's try dividing by 4:

6,008,225 ÷ 4 = 1,502,056.25

If the quotient is a whole number, then 4 and 1,502,056.25 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 6,008,225
-1 6,008,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15172567852113354251,0551,1391,6753,5875,2755,69514,13717,93528,47570,68589,675240,329353,4251,201,6456,008,225
-1-5-17-25-67-85-211-335-425-1,055-1,139-1,675-3,587-5,275-5,695-14,137-17,935-28,475-70,685-89,675-240,329-353,425-1,201,645-6,008,225

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