Q: What are the factor combinations of the number 16,025,713?

 A:
Positive:   1 x 1602571311 x 145688317 x 94268943 x 372691187 x 85699473 x 33881731 x 219231993 x 8041
Negative: -1 x -16025713-11 x -1456883-17 x -942689-43 x -372691-187 x -85699-473 x -33881-731 x -21923-1993 x -8041


How do I find the factor combinations of the number 16,025,713?

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 16,025,713, 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 16,025,713
-1 -16,025,713

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 16,025,713.

Example:
1 x 16,025,713 = 16,025,713
and
-1 x -16,025,713 = 16,025,713
Notice both answers equal 16,025,713

With that explanation out of the way, let's continue. Next, we take the number 16,025,713 and divide it by 2:

16,025,713 ÷ 2 = 8,012,856.5

If the quotient is a whole number, then 2 and 8,012,856.5 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 16,025,713
-1 -16,025,713

Now, we try dividing 16,025,713 by 3:

16,025,713 ÷ 3 = 5,341,904.3333

If the quotient is a whole number, then 3 and 5,341,904.3333 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 16,025,713
-1 -16,025,713

Let's try dividing by 4:

16,025,713 ÷ 4 = 4,006,428.25

If the quotient is a whole number, then 4 and 4,006,428.25 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 16,025,713
-1 16,025,713
Keep dividing by the next highest number until you cannot divide anymore.

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

11117431874737311,9938,04121,92333,88185,699372,691942,6891,456,88316,025,713
-1-11-17-43-187-473-731-1,993-8,041-21,923-33,881-85,699-372,691-942,689-1,456,883-16,025,713

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,025,713:


Ask a Question