Q: What are the factor combinations of the number 165,556,255?

 A:
Positive:   1 x 1655562555 x 331112512029 x 8159510145 x 16319
Negative: -1 x -165556255-5 x -33111251-2029 x -81595-10145 x -16319


How do I find the factor combinations of the number 165,556,255?

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 165,556,255, 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.

1 165,556,255
-1 -165,556,255

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 165,556,255.

Example:
1 x 165,556,255 = 165,556,255
and
-1 x -165,556,255 = 165,556,255
Notice both answers equal 165,556,255

With that explanation out of the way, let's continue. Next, we take the number 165,556,255 and divide it by 2:

165,556,255 ÷ 2 = 82,778,127.5

If the quotient is a whole number, then 2 and 82,778,127.5 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:

1 165,556,255
-1 -165,556,255

Now, we try dividing 165,556,255 by 3:

165,556,255 ÷ 3 = 55,185,418.3333

If the quotient is a whole number, then 3 and 55,185,418.3333 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:

1 165,556,255
-1 -165,556,255

Let's try dividing by 4:

165,556,255 ÷ 4 = 41,389,063.75

If the quotient is a whole number, then 4 and 41,389,063.75 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:

1 165,556,255
-1 165,556,255
Keep dividing by the next highest number until you cannot divide anymore.

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

152,02910,14516,31981,59533,111,251165,556,255
-1-5-2,029-10,145-16,319-81,595-33,111,251-165,556,255

More Examples

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