Q: What are the factor combinations of the number 4,444,315?

 A:
Positive:   1 x 44443155 x 88886331 x 14336553 x 83855155 x 28673265 x 16771541 x 82151643 x 2705
Negative: -1 x -4444315-5 x -888863-31 x -143365-53 x -83855-155 x -28673-265 x -16771-541 x -8215-1643 x -2705


How do I find the factor combinations of the number 4,444,315?

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 4,444,315, 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 4,444,315
-1 -4,444,315

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 4,444,315.

Example:
1 x 4,444,315 = 4,444,315
and
-1 x -4,444,315 = 4,444,315
Notice both answers equal 4,444,315

With that explanation out of the way, let's continue. Next, we take the number 4,444,315 and divide it by 2:

4,444,315 ÷ 2 = 2,222,157.5

If the quotient is a whole number, then 2 and 2,222,157.5 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 4,444,315
-1 -4,444,315

Now, we try dividing 4,444,315 by 3:

4,444,315 ÷ 3 = 1,481,438.3333

If the quotient is a whole number, then 3 and 1,481,438.3333 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 4,444,315
-1 -4,444,315

Let's try dividing by 4:

4,444,315 ÷ 4 = 1,111,078.75

If the quotient is a whole number, then 4 and 1,111,078.75 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 4,444,315
-1 4,444,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1531531552655411,6432,7058,21516,77128,67383,855143,365888,8634,444,315
-1-5-31-53-155-265-541-1,643-2,705-8,215-16,771-28,673-83,855-143,365-888,863-4,444,315

More Examples

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