Q: What are the factor combinations of the number 164,366,015?

 A:
Positive:   1 x 1643660155 x 3287320311 x 1494236555 x 298847397 x 1694495485 x 3388991067 x 1540455335 x 30809
Negative: -1 x -164366015-5 x -32873203-11 x -14942365-55 x -2988473-97 x -1694495-485 x -338899-1067 x -154045-5335 x -30809


How do I find the factor combinations of the number 164,366,015?

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 164,366,015, 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.

1 164,366,015
-1 -164,366,015

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 164,366,015.

Example:
1 x 164,366,015 = 164,366,015
and
-1 x -164,366,015 = 164,366,015
Notice both answers equal 164,366,015

With that explanation out of the way, let's continue. Next, we take the number 164,366,015 and divide it by 2:

164,366,015 ÷ 2 = 82,183,007.5

If the quotient is a whole number, then 2 and 82,183,007.5 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:

1 164,366,015
-1 -164,366,015

Now, we try dividing 164,366,015 by 3:

164,366,015 ÷ 3 = 54,788,671.6667

If the quotient is a whole number, then 3 and 54,788,671.6667 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:

1 164,366,015
-1 -164,366,015

Let's try dividing by 4:

164,366,015 ÷ 4 = 41,091,503.75

If the quotient is a whole number, then 4 and 41,091,503.75 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:

1 164,366,015
-1 164,366,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151155974851,0675,33530,809154,045338,8991,694,4952,988,47314,942,36532,873,203164,366,015
-1-5-11-55-97-485-1,067-5,335-30,809-154,045-338,899-1,694,495-2,988,473-14,942,365-32,873,203-164,366,015

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