Q: What are the factor combinations of the number 16,423,625?

 A:
Positive:   1 x 164236255 x 328472525 x 65694583 x 197875125 x 131389415 x 395751583 x 103752075 x 7915
Negative: -1 x -16423625-5 x -3284725-25 x -656945-83 x -197875-125 x -131389-415 x -39575-1583 x -10375-2075 x -7915


How do I find the factor combinations of the number 16,423,625?

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 16,423,625, 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 16,423,625
-1 -16,423,625

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 16,423,625.

Example:
1 x 16,423,625 = 16,423,625
and
-1 x -16,423,625 = 16,423,625
Notice both answers equal 16,423,625

With that explanation out of the way, let's continue. Next, we take the number 16,423,625 and divide it by 2:

16,423,625 ÷ 2 = 8,211,812.5

If the quotient is a whole number, then 2 and 8,211,812.5 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 16,423,625
-1 -16,423,625

Now, we try dividing 16,423,625 by 3:

16,423,625 ÷ 3 = 5,474,541.6667

If the quotient is a whole number, then 3 and 5,474,541.6667 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 16,423,625
-1 -16,423,625

Let's try dividing by 4:

16,423,625 ÷ 4 = 4,105,906.25

If the quotient is a whole number, then 4 and 4,105,906.25 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 16,423,625
-1 16,423,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831254151,5832,0757,91510,37539,575131,389197,875656,9453,284,72516,423,625
-1-5-25-83-125-415-1,583-2,075-7,915-10,375-39,575-131,389-197,875-656,945-3,284,725-16,423,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,423,625:


Ask a Question