Q: What are the factor combinations of the number 2,474,425?

 A:
Positive:   1 x 24744255 x 49488525 x 9897729 x 85325145 x 17065725 x 3413
Negative: -1 x -2474425-5 x -494885-25 x -98977-29 x -85325-145 x -17065-725 x -3413


How do I find the factor combinations of the number 2,474,425?

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 2,474,425, 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 2,474,425
-1 -2,474,425

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 2,474,425.

Example:
1 x 2,474,425 = 2,474,425
and
-1 x -2,474,425 = 2,474,425
Notice both answers equal 2,474,425

With that explanation out of the way, let's continue. Next, we take the number 2,474,425 and divide it by 2:

2,474,425 ÷ 2 = 1,237,212.5

If the quotient is a whole number, then 2 and 1,237,212.5 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 2,474,425
-1 -2,474,425

Now, we try dividing 2,474,425 by 3:

2,474,425 ÷ 3 = 824,808.3333

If the quotient is a whole number, then 3 and 824,808.3333 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 2,474,425
-1 -2,474,425

Let's try dividing by 4:

2,474,425 ÷ 4 = 618,606.25

If the quotient is a whole number, then 4 and 618,606.25 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 2,474,425
-1 2,474,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291457253,41317,06585,32598,977494,8852,474,425
-1-5-25-29-145-725-3,413-17,065-85,325-98,977-494,885-2,474,425

More Examples

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