Q: What are the factor combinations of the number 16,016,525?

 A:
Positive:   1 x 160165255 x 32033057 x 228807519 x 84297525 x 64066135 x 45761595 x 168595133 x 120425175 x 91523475 x 33719665 x 240853325 x 4817
Negative: -1 x -16016525-5 x -3203305-7 x -2288075-19 x -842975-25 x -640661-35 x -457615-95 x -168595-133 x -120425-175 x -91523-475 x -33719-665 x -24085-3325 x -4817


How do I find the factor combinations of the number 16,016,525?

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 16,016,525, 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 16,016,525
-1 -16,016,525

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 16,016,525.

Example:
1 x 16,016,525 = 16,016,525
and
-1 x -16,016,525 = 16,016,525
Notice both answers equal 16,016,525

With that explanation out of the way, let's continue. Next, we take the number 16,016,525 and divide it by 2:

16,016,525 ÷ 2 = 8,008,262.5

If the quotient is a whole number, then 2 and 8,008,262.5 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 16,016,525
-1 -16,016,525

Now, we try dividing 16,016,525 by 3:

16,016,525 ÷ 3 = 5,338,841.6667

If the quotient is a whole number, then 3 and 5,338,841.6667 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 16,016,525
-1 -16,016,525

Let's try dividing by 4:

16,016,525 ÷ 4 = 4,004,131.25

If the quotient is a whole number, then 4 and 4,004,131.25 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 16,016,525
-1 16,016,525
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754756653,3254,81724,08533,71991,523120,425168,595457,615640,661842,9752,288,0753,203,30516,016,525
-1-5-7-19-25-35-95-133-175-475-665-3,325-4,817-24,085-33,719-91,523-120,425-168,595-457,615-640,661-842,975-2,288,075-3,203,305-16,016,525

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