Q: What are the factor combinations of the number 2,425,675?

 A:
Positive:   1 x 24256755 x 4851357 x 34652525 x 9702735 x 6930583 x 29225167 x 14525175 x 13861415 x 5845581 x 4175835 x 29051169 x 2075
Negative: -1 x -2425675-5 x -485135-7 x -346525-25 x -97027-35 x -69305-83 x -29225-167 x -14525-175 x -13861-415 x -5845-581 x -4175-835 x -2905-1169 x -2075


How do I find the factor combinations of the number 2,425,675?

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 2,425,675, 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 2,425,675
-1 -2,425,675

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 2,425,675.

Example:
1 x 2,425,675 = 2,425,675
and
-1 x -2,425,675 = 2,425,675
Notice both answers equal 2,425,675

With that explanation out of the way, let's continue. Next, we take the number 2,425,675 and divide it by 2:

2,425,675 ÷ 2 = 1,212,837.5

If the quotient is a whole number, then 2 and 1,212,837.5 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 2,425,675
-1 -2,425,675

Now, we try dividing 2,425,675 by 3:

2,425,675 ÷ 3 = 808,558.3333

If the quotient is a whole number, then 3 and 808,558.3333 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 2,425,675
-1 -2,425,675

Let's try dividing by 4:

2,425,675 ÷ 4 = 606,418.75

If the quotient is a whole number, then 4 and 606,418.75 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 2,425,675
-1 2,425,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535831671754155818351,1692,0752,9054,1755,84513,86114,52529,22569,30597,027346,525485,1352,425,675
-1-5-7-25-35-83-167-175-415-581-835-1,169-2,075-2,905-4,175-5,845-13,861-14,525-29,225-69,305-97,027-346,525-485,135-2,425,675

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