Q: What are the factor combinations of the number 16,737,425?

 A:
Positive:   1 x 167374255 x 334748525 x 669497593 x 282251129 x 148252965 x 5645
Negative: -1 x -16737425-5 x -3347485-25 x -669497-593 x -28225-1129 x -14825-2965 x -5645


How do I find the factor combinations of the number 16,737,425?

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 16,737,425, 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 16,737,425
-1 -16,737,425

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 16,737,425.

Example:
1 x 16,737,425 = 16,737,425
and
-1 x -16,737,425 = 16,737,425
Notice both answers equal 16,737,425

With that explanation out of the way, let's continue. Next, we take the number 16,737,425 and divide it by 2:

16,737,425 ÷ 2 = 8,368,712.5

If the quotient is a whole number, then 2 and 8,368,712.5 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 16,737,425
-1 -16,737,425

Now, we try dividing 16,737,425 by 3:

16,737,425 ÷ 3 = 5,579,141.6667

If the quotient is a whole number, then 3 and 5,579,141.6667 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 16,737,425
-1 -16,737,425

Let's try dividing by 4:

16,737,425 ÷ 4 = 4,184,356.25

If the quotient is a whole number, then 4 and 4,184,356.25 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 16,737,425
-1 16,737,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15255931,1292,9655,64514,82528,225669,4973,347,48516,737,425
-1-5-25-593-1,129-2,965-5,645-14,825-28,225-669,497-3,347,485-16,737,425

More Examples

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