Q: What are the factor combinations of the number 16,271,755?

 A:
Positive:   1 x 162717555 x 325435129 x 561095145 x 112219293 x 55535383 x 424851465 x 111071915 x 8497
Negative: -1 x -16271755-5 x -3254351-29 x -561095-145 x -112219-293 x -55535-383 x -42485-1465 x -11107-1915 x -8497


How do I find the factor combinations of the number 16,271,755?

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 16,271,755, 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 16,271,755
-1 -16,271,755

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 16,271,755.

Example:
1 x 16,271,755 = 16,271,755
and
-1 x -16,271,755 = 16,271,755
Notice both answers equal 16,271,755

With that explanation out of the way, let's continue. Next, we take the number 16,271,755 and divide it by 2:

16,271,755 ÷ 2 = 8,135,877.5

If the quotient is a whole number, then 2 and 8,135,877.5 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 16,271,755
-1 -16,271,755

Now, we try dividing 16,271,755 by 3:

16,271,755 ÷ 3 = 5,423,918.3333

If the quotient is a whole number, then 3 and 5,423,918.3333 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 16,271,755
-1 -16,271,755

Let's try dividing by 4:

16,271,755 ÷ 4 = 4,067,938.75

If the quotient is a whole number, then 4 and 4,067,938.75 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 16,271,755
-1 16,271,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15291452933831,4651,9158,49711,10742,48555,535112,219561,0953,254,35116,271,755
-1-5-29-145-293-383-1,465-1,915-8,497-11,107-42,485-55,535-112,219-561,095-3,254,351-16,271,755

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