Q: What are the factor combinations of the number 164,052,155?

 A:
Positive:   1 x 1640521555 x 3281043131 x 529200559 x 2780545155 x 1058401295 x 5561091829 x 896959145 x 17939
Negative: -1 x -164052155-5 x -32810431-31 x -5292005-59 x -2780545-155 x -1058401-295 x -556109-1829 x -89695-9145 x -17939


How do I find the factor combinations of the number 164,052,155?

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 164,052,155, 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.

1 164,052,155
-1 -164,052,155

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 164,052,155.

Example:
1 x 164,052,155 = 164,052,155
and
-1 x -164,052,155 = 164,052,155
Notice both answers equal 164,052,155

With that explanation out of the way, let's continue. Next, we take the number 164,052,155 and divide it by 2:

164,052,155 ÷ 2 = 82,026,077.5

If the quotient is a whole number, then 2 and 82,026,077.5 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:

1 164,052,155
-1 -164,052,155

Now, we try dividing 164,052,155 by 3:

164,052,155 ÷ 3 = 54,684,051.6667

If the quotient is a whole number, then 3 and 54,684,051.6667 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:

1 164,052,155
-1 -164,052,155

Let's try dividing by 4:

164,052,155 ÷ 4 = 41,013,038.75

If the quotient is a whole number, then 4 and 41,013,038.75 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:

1 164,052,155
-1 164,052,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1531591552951,8299,14517,93989,695556,1091,058,4012,780,5455,292,00532,810,431164,052,155
-1-5-31-59-155-295-1,829-9,145-17,939-89,695-556,109-1,058,401-2,780,545-5,292,005-32,810,431-164,052,155

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