Q: What are the factor combinations of the number 2,967,425?

 A:
Positive:   1 x 29674255 x 59348525 x 11869729 x 102325145 x 20465725 x 4093
Negative: -1 x -2967425-5 x -593485-25 x -118697-29 x -102325-145 x -20465-725 x -4093


How do I find the factor combinations of the number 2,967,425?

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 2,967,425, 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 2,967,425
-1 -2,967,425

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 2,967,425.

Example:
1 x 2,967,425 = 2,967,425
and
-1 x -2,967,425 = 2,967,425
Notice both answers equal 2,967,425

With that explanation out of the way, let's continue. Next, we take the number 2,967,425 and divide it by 2:

2,967,425 ÷ 2 = 1,483,712.5

If the quotient is a whole number, then 2 and 1,483,712.5 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 2,967,425
-1 -2,967,425

Now, we try dividing 2,967,425 by 3:

2,967,425 ÷ 3 = 989,141.6667

If the quotient is a whole number, then 3 and 989,141.6667 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 2,967,425
-1 -2,967,425

Let's try dividing by 4:

2,967,425 ÷ 4 = 741,856.25

If the quotient is a whole number, then 4 and 741,856.25 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 2,967,425
-1 2,967,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291457254,09320,465102,325118,697593,4852,967,425
-1-5-25-29-145-725-4,093-20,465-102,325-118,697-593,485-2,967,425

More Examples

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