Q: What are the factor combinations of the number 14,346,871?

 A:
Positive:   1 x 143468717 x 204955311 x 130426123 x 62377777 x 186323161 x 89111253 x 567071771 x 8101
Negative: -1 x -14346871-7 x -2049553-11 x -1304261-23 x -623777-77 x -186323-161 x -89111-253 x -56707-1771 x -8101


How do I find the factor combinations of the number 14,346,871?

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 14,346,871, 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 14,346,871
-1 -14,346,871

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 14,346,871.

Example:
1 x 14,346,871 = 14,346,871
and
-1 x -14,346,871 = 14,346,871
Notice both answers equal 14,346,871

With that explanation out of the way, let's continue. Next, we take the number 14,346,871 and divide it by 2:

14,346,871 ÷ 2 = 7,173,435.5

If the quotient is a whole number, then 2 and 7,173,435.5 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 14,346,871
-1 -14,346,871

Now, we try dividing 14,346,871 by 3:

14,346,871 ÷ 3 = 4,782,290.3333

If the quotient is a whole number, then 3 and 4,782,290.3333 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 14,346,871
-1 -14,346,871

Let's try dividing by 4:

14,346,871 ÷ 4 = 3,586,717.75

If the quotient is a whole number, then 4 and 3,586,717.75 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 14,346,871
-1 14,346,871
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,7718,10156,70789,111186,323623,7771,304,2612,049,55314,346,871
-1-7-11-23-77-161-253-1,771-8,101-56,707-89,111-186,323-623,777-1,304,261-2,049,553-14,346,871

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,346,871:


Ask a Question