Q: What are the factor combinations of the number 164,356,555?

 A:
Positive:   1 x 1643565555 x 3287131111 x 1494150519 x 865034555 x 298830195 x 1730069209 x 7863951045 x 157279
Negative: -1 x -164356555-5 x -32871311-11 x -14941505-19 x -8650345-55 x -2988301-95 x -1730069-209 x -786395-1045 x -157279


How do I find the factor combinations of the number 164,356,555?

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 164,356,555, 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.

1 164,356,555
-1 -164,356,555

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 164,356,555.

Example:
1 x 164,356,555 = 164,356,555
and
-1 x -164,356,555 = 164,356,555
Notice both answers equal 164,356,555

With that explanation out of the way, let's continue. Next, we take the number 164,356,555 and divide it by 2:

164,356,555 ÷ 2 = 82,178,277.5

If the quotient is a whole number, then 2 and 82,178,277.5 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:

1 164,356,555
-1 -164,356,555

Now, we try dividing 164,356,555 by 3:

164,356,555 ÷ 3 = 54,785,518.3333

If the quotient is a whole number, then 3 and 54,785,518.3333 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:

1 164,356,555
-1 -164,356,555

Let's try dividing by 4:

164,356,555 ÷ 4 = 41,089,138.75

If the quotient is a whole number, then 4 and 41,089,138.75 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:

1 164,356,555
-1 164,356,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045157,279786,3951,730,0692,988,3018,650,34514,941,50532,871,311164,356,555
-1-5-11-19-55-95-209-1,045-157,279-786,395-1,730,069-2,988,301-8,650,345-14,941,505-32,871,311-164,356,555

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