Q: What are the factor combinations of the number 4,441,507?

 A:
Positive:   1 x 44415077 x 63450123 x 19310949 x 90643161 x 27587343 x 12949563 x 78891127 x 3941
Negative: -1 x -4441507-7 x -634501-23 x -193109-49 x -90643-161 x -27587-343 x -12949-563 x -7889-1127 x -3941


How do I find the factor combinations of the number 4,441,507?

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 4,441,507, 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 4,441,507
-1 -4,441,507

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 4,441,507.

Example:
1 x 4,441,507 = 4,441,507
and
-1 x -4,441,507 = 4,441,507
Notice both answers equal 4,441,507

With that explanation out of the way, let's continue. Next, we take the number 4,441,507 and divide it by 2:

4,441,507 ÷ 2 = 2,220,753.5

If the quotient is a whole number, then 2 and 2,220,753.5 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 4,441,507
-1 -4,441,507

Now, we try dividing 4,441,507 by 3:

4,441,507 ÷ 3 = 1,480,502.3333

If the quotient is a whole number, then 3 and 1,480,502.3333 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 4,441,507
-1 -4,441,507

Let's try dividing by 4:

4,441,507 ÷ 4 = 1,110,376.75

If the quotient is a whole number, then 4 and 1,110,376.75 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 4,441,507
-1 4,441,507
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491613435631,1273,9417,88912,94927,58790,643193,109634,5014,441,507
-1-7-23-49-161-343-563-1,127-3,941-7,889-12,949-27,587-90,643-193,109-634,501-4,441,507

More Examples

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