Q: What are the factor combinations of the number 16,163,357?

 A:
Positive:   1 x 161633577 x 230905119 x 85070353 x 304969133 x 121529371 x 435671007 x 160512293 x 7049
Negative: -1 x -16163357-7 x -2309051-19 x -850703-53 x -304969-133 x -121529-371 x -43567-1007 x -16051-2293 x -7049


How do I find the factor combinations of the number 16,163,357?

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 16,163,357, 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 16,163,357
-1 -16,163,357

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 16,163,357.

Example:
1 x 16,163,357 = 16,163,357
and
-1 x -16,163,357 = 16,163,357
Notice both answers equal 16,163,357

With that explanation out of the way, let's continue. Next, we take the number 16,163,357 and divide it by 2:

16,163,357 ÷ 2 = 8,081,678.5

If the quotient is a whole number, then 2 and 8,081,678.5 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 16,163,357
-1 -16,163,357

Now, we try dividing 16,163,357 by 3:

16,163,357 ÷ 3 = 5,387,785.6667

If the quotient is a whole number, then 3 and 5,387,785.6667 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 16,163,357
-1 -16,163,357

Let's try dividing by 4:

16,163,357 ÷ 4 = 4,040,839.25

If the quotient is a whole number, then 4 and 4,040,839.25 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 16,163,357
-1 16,163,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1719531333711,0072,2937,04916,05143,567121,529304,969850,7032,309,05116,163,357
-1-7-19-53-133-371-1,007-2,293-7,049-16,051-43,567-121,529-304,969-850,703-2,309,051-16,163,357

More Examples

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