Q: What are the factor combinations of the number 14,432,243?

 A:
Positive:   1 x 144322437 x 206174947 x 307069329 x 43867
Negative: -1 x -14432243-7 x -2061749-47 x -307069-329 x -43867


How do I find the factor combinations of the number 14,432,243?

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 14,432,243, 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 14,432,243
-1 -14,432,243

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 14,432,243.

Example:
1 x 14,432,243 = 14,432,243
and
-1 x -14,432,243 = 14,432,243
Notice both answers equal 14,432,243

With that explanation out of the way, let's continue. Next, we take the number 14,432,243 and divide it by 2:

14,432,243 ÷ 2 = 7,216,121.5

If the quotient is a whole number, then 2 and 7,216,121.5 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 14,432,243
-1 -14,432,243

Now, we try dividing 14,432,243 by 3:

14,432,243 ÷ 3 = 4,810,747.6667

If the quotient is a whole number, then 3 and 4,810,747.6667 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 14,432,243
-1 -14,432,243

Let's try dividing by 4:

14,432,243 ÷ 4 = 3,608,060.75

If the quotient is a whole number, then 4 and 3,608,060.75 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 14,432,243
-1 14,432,243
Keep dividing by the next highest number until you cannot divide anymore.

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

174732943,867307,0692,061,74914,432,243
-1-7-47-329-43,867-307,069-2,061,749-14,432,243

More Examples

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