Q: What are the factor combinations of the number 4,441,031?

 A:
Positive:   1 x 44410317 x 63443329 x 153139131 x 33901167 x 26593203 x 21877917 x 48431169 x 3799
Negative: -1 x -4441031-7 x -634433-29 x -153139-131 x -33901-167 x -26593-203 x -21877-917 x -4843-1169 x -3799


How do I find the factor combinations of the number 4,441,031?

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 4,441,031, 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 4,441,031
-1 -4,441,031

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 4,441,031.

Example:
1 x 4,441,031 = 4,441,031
and
-1 x -4,441,031 = 4,441,031
Notice both answers equal 4,441,031

With that explanation out of the way, let's continue. Next, we take the number 4,441,031 and divide it by 2:

4,441,031 ÷ 2 = 2,220,515.5

If the quotient is a whole number, then 2 and 2,220,515.5 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 4,441,031
-1 -4,441,031

Now, we try dividing 4,441,031 by 3:

4,441,031 ÷ 3 = 1,480,343.6667

If the quotient is a whole number, then 3 and 1,480,343.6667 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 4,441,031
-1 -4,441,031

Let's try dividing by 4:

4,441,031 ÷ 4 = 1,110,257.75

If the quotient is a whole number, then 4 and 1,110,257.75 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 4,441,031
-1 4,441,031
Keep dividing by the next highest number until you cannot divide anymore.

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

17291311672039171,1693,7994,84321,87726,59333,901153,139634,4334,441,031
-1-7-29-131-167-203-917-1,169-3,799-4,843-21,877-26,593-33,901-153,139-634,433-4,441,031

More Examples

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