Q: What are the factor combinations of the number 16,050,425?

 A:
Positive:   1 x 160504255 x 321008525 x 642017223 x 719751115 x 143952879 x 5575
Negative: -1 x -16050425-5 x -3210085-25 x -642017-223 x -71975-1115 x -14395-2879 x -5575


How do I find the factor combinations of the number 16,050,425?

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 16,050,425, 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 16,050,425
-1 -16,050,425

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 16,050,425.

Example:
1 x 16,050,425 = 16,050,425
and
-1 x -16,050,425 = 16,050,425
Notice both answers equal 16,050,425

With that explanation out of the way, let's continue. Next, we take the number 16,050,425 and divide it by 2:

16,050,425 ÷ 2 = 8,025,212.5

If the quotient is a whole number, then 2 and 8,025,212.5 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 16,050,425
-1 -16,050,425

Now, we try dividing 16,050,425 by 3:

16,050,425 ÷ 3 = 5,350,141.6667

If the quotient is a whole number, then 3 and 5,350,141.6667 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 16,050,425
-1 -16,050,425

Let's try dividing by 4:

16,050,425 ÷ 4 = 4,012,606.25

If the quotient is a whole number, then 4 and 4,012,606.25 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 16,050,425
-1 16,050,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15252231,1152,8795,57514,39571,975642,0173,210,08516,050,425
-1-5-25-223-1,115-2,879-5,575-14,395-71,975-642,017-3,210,085-16,050,425

More Examples

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