Q: What are the factor combinations of the number 2,372,225?

 A:
Positive:   1 x 23722255 x 47444525 x 94889
Negative: -1 x -2372225-5 x -474445-25 x -94889


How do I find the factor combinations of the number 2,372,225?

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 2,372,225, 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 2,372,225
-1 -2,372,225

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 2,372,225.

Example:
1 x 2,372,225 = 2,372,225
and
-1 x -2,372,225 = 2,372,225
Notice both answers equal 2,372,225

With that explanation out of the way, let's continue. Next, we take the number 2,372,225 and divide it by 2:

2,372,225 ÷ 2 = 1,186,112.5

If the quotient is a whole number, then 2 and 1,186,112.5 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 2,372,225
-1 -2,372,225

Now, we try dividing 2,372,225 by 3:

2,372,225 ÷ 3 = 790,741.6667

If the quotient is a whole number, then 3 and 790,741.6667 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 2,372,225
-1 -2,372,225

Let's try dividing by 4:

2,372,225 ÷ 4 = 593,056.25

If the quotient is a whole number, then 4 and 593,056.25 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 2,372,225
-1 2,372,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152594,889474,4452,372,225
-1-5-25-94,889-474,445-2,372,225

More Examples

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