Q: What are the factor combinations of the number 14,212,445?

 A:
Positive:   1 x 142124455 x 284248913 x 109326541 x 34664565 x 218653205 x 69329533 x 266652665 x 5333
Negative: -1 x -14212445-5 x -2842489-13 x -1093265-41 x -346645-65 x -218653-205 x -69329-533 x -26665-2665 x -5333


How do I find the factor combinations of the number 14,212,445?

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 14,212,445, 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 14,212,445
-1 -14,212,445

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 14,212,445.

Example:
1 x 14,212,445 = 14,212,445
and
-1 x -14,212,445 = 14,212,445
Notice both answers equal 14,212,445

With that explanation out of the way, let's continue. Next, we take the number 14,212,445 and divide it by 2:

14,212,445 ÷ 2 = 7,106,222.5

If the quotient is a whole number, then 2 and 7,106,222.5 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 14,212,445
-1 -14,212,445

Now, we try dividing 14,212,445 by 3:

14,212,445 ÷ 3 = 4,737,481.6667

If the quotient is a whole number, then 3 and 4,737,481.6667 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 14,212,445
-1 -14,212,445

Let's try dividing by 4:

14,212,445 ÷ 4 = 3,553,111.25

If the quotient is a whole number, then 4 and 3,553,111.25 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 14,212,445
-1 14,212,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151341652055332,6655,33326,66569,329218,653346,6451,093,2652,842,48914,212,445
-1-5-13-41-65-205-533-2,665-5,333-26,665-69,329-218,653-346,645-1,093,265-2,842,489-14,212,445

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