Q: What are the factor combinations of the number 16,001,515?

 A:
Positive:   1 x 160015155 x 320030319 x 84218595 x 168437389 x 41135433 x 369551945 x 82272165 x 7391
Negative: -1 x -16001515-5 x -3200303-19 x -842185-95 x -168437-389 x -41135-433 x -36955-1945 x -8227-2165 x -7391


How do I find the factor combinations of the number 16,001,515?

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 16,001,515, 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 16,001,515
-1 -16,001,515

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 16,001,515.

Example:
1 x 16,001,515 = 16,001,515
and
-1 x -16,001,515 = 16,001,515
Notice both answers equal 16,001,515

With that explanation out of the way, let's continue. Next, we take the number 16,001,515 and divide it by 2:

16,001,515 ÷ 2 = 8,000,757.5

If the quotient is a whole number, then 2 and 8,000,757.5 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 16,001,515
-1 -16,001,515

Now, we try dividing 16,001,515 by 3:

16,001,515 ÷ 3 = 5,333,838.3333

If the quotient is a whole number, then 3 and 5,333,838.3333 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 16,001,515
-1 -16,001,515

Let's try dividing by 4:

16,001,515 ÷ 4 = 4,000,378.75

If the quotient is a whole number, then 4 and 4,000,378.75 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 16,001,515
-1 16,001,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953894331,9452,1657,3918,22736,95541,135168,437842,1853,200,30316,001,515
-1-5-19-95-389-433-1,945-2,165-7,391-8,227-36,955-41,135-168,437-842,185-3,200,303-16,001,515

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