Q: What are the factor combinations of the number 16,657,627?

 A:
Positive:   1 x 166576277 x 2379661101 x 164927707 x 23561
Negative: -1 x -16657627-7 x -2379661-101 x -164927-707 x -23561


How do I find the factor combinations of the number 16,657,627?

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 16,657,627, 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 16,657,627
-1 -16,657,627

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 16,657,627.

Example:
1 x 16,657,627 = 16,657,627
and
-1 x -16,657,627 = 16,657,627
Notice both answers equal 16,657,627

With that explanation out of the way, let's continue. Next, we take the number 16,657,627 and divide it by 2:

16,657,627 ÷ 2 = 8,328,813.5

If the quotient is a whole number, then 2 and 8,328,813.5 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 16,657,627
-1 -16,657,627

Now, we try dividing 16,657,627 by 3:

16,657,627 ÷ 3 = 5,552,542.3333

If the quotient is a whole number, then 3 and 5,552,542.3333 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 16,657,627
-1 -16,657,627

Let's try dividing by 4:

16,657,627 ÷ 4 = 4,164,406.75

If the quotient is a whole number, then 4 and 4,164,406.75 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 16,657,627
-1 16,657,627
Keep dividing by the next highest number until you cannot divide anymore.

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

1710170723,561164,9272,379,66116,657,627
-1-7-101-707-23,561-164,927-2,379,661-16,657,627

More Examples

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