Q: What are the factor combinations of the number 165,040,249?

 A:
Positive:   1 x 16504024911 x 1500365923 x 717566331 x 5323879121 x 1363969253 x 652333341 x 483989713 x 2314731913 x 862732783 x 593033751 x 439997843 x 21043
Negative: -1 x -165040249-11 x -15003659-23 x -7175663-31 x -5323879-121 x -1363969-253 x -652333-341 x -483989-713 x -231473-1913 x -86273-2783 x -59303-3751 x -43999-7843 x -21043


How do I find the factor combinations of the number 165,040,249?

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 165,040,249, 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.

1 165,040,249
-1 -165,040,249

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 165,040,249.

Example:
1 x 165,040,249 = 165,040,249
and
-1 x -165,040,249 = 165,040,249
Notice both answers equal 165,040,249

With that explanation out of the way, let's continue. Next, we take the number 165,040,249 and divide it by 2:

165,040,249 ÷ 2 = 82,520,124.5

If the quotient is a whole number, then 2 and 82,520,124.5 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:

1 165,040,249
-1 -165,040,249

Now, we try dividing 165,040,249 by 3:

165,040,249 ÷ 3 = 55,013,416.3333

If the quotient is a whole number, then 3 and 55,013,416.3333 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:

1 165,040,249
-1 -165,040,249

Let's try dividing by 4:

165,040,249 ÷ 4 = 41,260,062.25

If the quotient is a whole number, then 4 and 41,260,062.25 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:

1 165,040,249
-1 165,040,249
Keep dividing by the next highest number until you cannot divide anymore.

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

11123311212533417131,9132,7833,7517,84321,04343,99959,30386,273231,473483,989652,3331,363,9695,323,8797,175,66315,003,659165,040,249
-1-11-23-31-121-253-341-713-1,913-2,783-3,751-7,843-21,043-43,999-59,303-86,273-231,473-483,989-652,333-1,363,969-5,323,879-7,175,663-15,003,659-165,040,249

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