Q: What are the factor combinations of the number 16,344,713?

 A:
Positive:   1 x 163447137 x 233495911 x 148588337 x 44174977 x 212269259 x 63107407 x 401592849 x 5737
Negative: -1 x -16344713-7 x -2334959-11 x -1485883-37 x -441749-77 x -212269-259 x -63107-407 x -40159-2849 x -5737


How do I find the factor combinations of the number 16,344,713?

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 16,344,713, 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 16,344,713
-1 -16,344,713

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 16,344,713.

Example:
1 x 16,344,713 = 16,344,713
and
-1 x -16,344,713 = 16,344,713
Notice both answers equal 16,344,713

With that explanation out of the way, let's continue. Next, we take the number 16,344,713 and divide it by 2:

16,344,713 ÷ 2 = 8,172,356.5

If the quotient is a whole number, then 2 and 8,172,356.5 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 16,344,713
-1 -16,344,713

Now, we try dividing 16,344,713 by 3:

16,344,713 ÷ 3 = 5,448,237.6667

If the quotient is a whole number, then 3 and 5,448,237.6667 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 16,344,713
-1 -16,344,713

Let's try dividing by 4:

16,344,713 ÷ 4 = 4,086,178.25

If the quotient is a whole number, then 4 and 4,086,178.25 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 16,344,713
-1 16,344,713
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,8495,73740,15963,107212,269441,7491,485,8832,334,95916,344,713
-1-7-11-37-77-259-407-2,849-5,737-40,159-63,107-212,269-441,749-1,485,883-2,334,959-16,344,713

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,344,713:


Ask a Question