Q: What are the factor combinations of the number 16,016,351?

 A:
Positive:   1 x 1601635113 x 123202789 x 179959109 x 146939127 x 1261131157 x 138431417 x 113031651 x 9701
Negative: -1 x -16016351-13 x -1232027-89 x -179959-109 x -146939-127 x -126113-1157 x -13843-1417 x -11303-1651 x -9701


How do I find the factor combinations of the number 16,016,351?

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 16,016,351, 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 16,016,351
-1 -16,016,351

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 16,016,351.

Example:
1 x 16,016,351 = 16,016,351
and
-1 x -16,016,351 = 16,016,351
Notice both answers equal 16,016,351

With that explanation out of the way, let's continue. Next, we take the number 16,016,351 and divide it by 2:

16,016,351 ÷ 2 = 8,008,175.5

If the quotient is a whole number, then 2 and 8,008,175.5 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 16,016,351
-1 -16,016,351

Now, we try dividing 16,016,351 by 3:

16,016,351 ÷ 3 = 5,338,783.6667

If the quotient is a whole number, then 3 and 5,338,783.6667 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 16,016,351
-1 -16,016,351

Let's try dividing by 4:

16,016,351 ÷ 4 = 4,004,087.75

If the quotient is a whole number, then 4 and 4,004,087.75 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 16,016,351
-1 16,016,351
Keep dividing by the next highest number until you cannot divide anymore.

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

113891091271,1571,4171,6519,70111,30313,843126,113146,939179,9591,232,02716,016,351
-1-13-89-109-127-1,157-1,417-1,651-9,701-11,303-13,843-126,113-146,939-179,959-1,232,027-16,016,351

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