Q: What are the factor combinations of the number 16,162,055?

 A:
Positive:   1 x 161620555 x 32324117 x 230886513 x 124323535 x 46177365 x 24864791 x 177605455 x 35521
Negative: -1 x -16162055-5 x -3232411-7 x -2308865-13 x -1243235-35 x -461773-65 x -248647-91 x -177605-455 x -35521


How do I find the factor combinations of the number 16,162,055?

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 16,162,055, 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 16,162,055
-1 -16,162,055

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 16,162,055.

Example:
1 x 16,162,055 = 16,162,055
and
-1 x -16,162,055 = 16,162,055
Notice both answers equal 16,162,055

With that explanation out of the way, let's continue. Next, we take the number 16,162,055 and divide it by 2:

16,162,055 ÷ 2 = 8,081,027.5

If the quotient is a whole number, then 2 and 8,081,027.5 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 16,162,055
-1 -16,162,055

Now, we try dividing 16,162,055 by 3:

16,162,055 ÷ 3 = 5,387,351.6667

If the quotient is a whole number, then 3 and 5,387,351.6667 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 16,162,055
-1 -16,162,055

Let's try dividing by 4:

16,162,055 ÷ 4 = 4,040,513.75

If the quotient is a whole number, then 4 and 4,040,513.75 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 16,162,055
-1 16,162,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145535,521177,605248,647461,7731,243,2352,308,8653,232,41116,162,055
-1-5-7-13-35-65-91-455-35,521-177,605-248,647-461,773-1,243,235-2,308,865-3,232,411-16,162,055

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