Q: What are the factor combinations of the number 110,668,145?

 A:
Positive:   1 x 1106681455 x 221336297 x 1580973535 x 3161947131 x 844795655 x 168959917 x 1206854585 x 24137
Negative: -1 x -110668145-5 x -22133629-7 x -15809735-35 x -3161947-131 x -844795-655 x -168959-917 x -120685-4585 x -24137


How do I find the factor combinations of the number 110,668,145?

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 110,668,145, 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.

1 110,668,145
-1 -110,668,145

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 110,668,145.

Example:
1 x 110,668,145 = 110,668,145
and
-1 x -110,668,145 = 110,668,145
Notice both answers equal 110,668,145

With that explanation out of the way, let's continue. Next, we take the number 110,668,145 and divide it by 2:

110,668,145 ÷ 2 = 55,334,072.5

If the quotient is a whole number, then 2 and 55,334,072.5 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:

1 110,668,145
-1 -110,668,145

Now, we try dividing 110,668,145 by 3:

110,668,145 ÷ 3 = 36,889,381.6667

If the quotient is a whole number, then 3 and 36,889,381.6667 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:

1 110,668,145
-1 -110,668,145

Let's try dividing by 4:

110,668,145 ÷ 4 = 27,667,036.25

If the quotient is a whole number, then 4 and 27,667,036.25 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:

1 110,668,145
-1 110,668,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157351316559174,58524,137120,685168,959844,7953,161,94715,809,73522,133,629110,668,145
-1-5-7-35-131-655-917-4,585-24,137-120,685-168,959-844,795-3,161,947-15,809,735-22,133,629-110,668,145

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