Q: What are the factor combinations of the number 14,482,421?

 A:
Positive:   1 x 1448242183 x 174487
Negative: -1 x -14482421-83 x -174487


How do I find the factor combinations of the number 14,482,421?

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 14,482,421, 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 14,482,421
-1 -14,482,421

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 14,482,421.

Example:
1 x 14,482,421 = 14,482,421
and
-1 x -14,482,421 = 14,482,421
Notice both answers equal 14,482,421

With that explanation out of the way, let's continue. Next, we take the number 14,482,421 and divide it by 2:

14,482,421 ÷ 2 = 7,241,210.5

If the quotient is a whole number, then 2 and 7,241,210.5 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 14,482,421
-1 -14,482,421

Now, we try dividing 14,482,421 by 3:

14,482,421 ÷ 3 = 4,827,473.6667

If the quotient is a whole number, then 3 and 4,827,473.6667 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 14,482,421
-1 -14,482,421

Let's try dividing by 4:

14,482,421 ÷ 4 = 3,620,605.25

If the quotient is a whole number, then 4 and 3,620,605.25 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 14,482,421
-1 14,482,421
Keep dividing by the next highest number until you cannot divide anymore.

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

183174,48714,482,421
-1-83-174,487-14,482,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,482,421:


Ask a Question