Q: What are the factor combinations of the number 4,240,225?

 A:
Positive:   1 x 42402255 x 84804511 x 38547517 x 24942525 x 16960955 x 7709585 x 49885187 x 22675275 x 15419425 x 9977907 x 4675935 x 4535
Negative: -1 x -4240225-5 x -848045-11 x -385475-17 x -249425-25 x -169609-55 x -77095-85 x -49885-187 x -22675-275 x -15419-425 x -9977-907 x -4675-935 x -4535


How do I find the factor combinations of the number 4,240,225?

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 4,240,225, 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 4,240,225
-1 -4,240,225

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 4,240,225.

Example:
1 x 4,240,225 = 4,240,225
and
-1 x -4,240,225 = 4,240,225
Notice both answers equal 4,240,225

With that explanation out of the way, let's continue. Next, we take the number 4,240,225 and divide it by 2:

4,240,225 ÷ 2 = 2,120,112.5

If the quotient is a whole number, then 2 and 2,120,112.5 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 4,240,225
-1 -4,240,225

Now, we try dividing 4,240,225 by 3:

4,240,225 ÷ 3 = 1,413,408.3333

If the quotient is a whole number, then 3 and 1,413,408.3333 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 4,240,225
-1 -4,240,225

Let's try dividing by 4:

4,240,225 ÷ 4 = 1,060,056.25

If the quotient is a whole number, then 4 and 1,060,056.25 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 4,240,225
-1 4,240,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259079354,5354,6759,97715,41922,67549,88577,095169,609249,425385,475848,0454,240,225
-1-5-11-17-25-55-85-187-275-425-907-935-4,535-4,675-9,977-15,419-22,675-49,885-77,095-169,609-249,425-385,475-848,045-4,240,225

More Examples

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