Q: What are the factor combinations of the number 350,522,051?

 A:
Positive:   1 x 35052205111 x 3186564119 x 18448529209 x 1677139499 x 7024493361 x 1042915489 x 638599481 x 36971
Negative: -1 x -350522051-11 x -31865641-19 x -18448529-209 x -1677139-499 x -702449-3361 x -104291-5489 x -63859-9481 x -36971


How do I find the factor combinations of the number 350,522,051?

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 350,522,051, 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.

1 350,522,051
-1 -350,522,051

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 350,522,051.

Example:
1 x 350,522,051 = 350,522,051
and
-1 x -350,522,051 = 350,522,051
Notice both answers equal 350,522,051

With that explanation out of the way, let's continue. Next, we take the number 350,522,051 and divide it by 2:

350,522,051 ÷ 2 = 175,261,025.5

If the quotient is a whole number, then 2 and 175,261,025.5 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:

1 350,522,051
-1 -350,522,051

Now, we try dividing 350,522,051 by 3:

350,522,051 ÷ 3 = 116,840,683.6667

If the quotient is a whole number, then 3 and 116,840,683.6667 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:

1 350,522,051
-1 -350,522,051

Let's try dividing by 4:

350,522,051 ÷ 4 = 87,630,512.75

If the quotient is a whole number, then 4 and 87,630,512.75 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:

1 350,522,051
-1 350,522,051
Keep dividing by the next highest number until you cannot divide anymore.

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

111192094993,3615,4899,48136,97163,859104,291702,4491,677,13918,448,52931,865,641350,522,051
-1-11-19-209-499-3,361-5,489-9,481-36,971-63,859-104,291-702,449-1,677,139-18,448,529-31,865,641-350,522,051

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