Q: What are the factor combinations of the number 14,121,203?

 A:
Positive:   1 x 1412120317 x 830659191 x 739333247 x 4349
Negative: -1 x -14121203-17 x -830659-191 x -73933-3247 x -4349


How do I find the factor combinations of the number 14,121,203?

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 14,121,203, 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 14,121,203
-1 -14,121,203

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 14,121,203.

Example:
1 x 14,121,203 = 14,121,203
and
-1 x -14,121,203 = 14,121,203
Notice both answers equal 14,121,203

With that explanation out of the way, let's continue. Next, we take the number 14,121,203 and divide it by 2:

14,121,203 ÷ 2 = 7,060,601.5

If the quotient is a whole number, then 2 and 7,060,601.5 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 14,121,203
-1 -14,121,203

Now, we try dividing 14,121,203 by 3:

14,121,203 ÷ 3 = 4,707,067.6667

If the quotient is a whole number, then 3 and 4,707,067.6667 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 14,121,203
-1 -14,121,203

Let's try dividing by 4:

14,121,203 ÷ 4 = 3,530,300.75

If the quotient is a whole number, then 4 and 3,530,300.75 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 14,121,203
-1 14,121,203
Keep dividing by the next highest number until you cannot divide anymore.

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

1171913,2474,34973,933830,65914,121,203
-1-17-191-3,247-4,349-73,933-830,659-14,121,203

More Examples

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