Q: What are the factor combinations of the number 55,352,329?

 A:
Positive:   1 x 5535232923 x 240662329 x 190870131 x 1785559667 x 82987713 x 77633899 x 615712677 x 20677
Negative: -1 x -55352329-23 x -2406623-29 x -1908701-31 x -1785559-667 x -82987-713 x -77633-899 x -61571-2677 x -20677


How do I find the factor combinations of the number 55,352,329?

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 55,352,329, 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 55,352,329
-1 -55,352,329

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 55,352,329.

Example:
1 x 55,352,329 = 55,352,329
and
-1 x -55,352,329 = 55,352,329
Notice both answers equal 55,352,329

With that explanation out of the way, let's continue. Next, we take the number 55,352,329 and divide it by 2:

55,352,329 ÷ 2 = 27,676,164.5

If the quotient is a whole number, then 2 and 27,676,164.5 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 55,352,329
-1 -55,352,329

Now, we try dividing 55,352,329 by 3:

55,352,329 ÷ 3 = 18,450,776.3333

If the quotient is a whole number, then 3 and 18,450,776.3333 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 55,352,329
-1 -55,352,329

Let's try dividing by 4:

55,352,329 ÷ 4 = 13,838,082.25

If the quotient is a whole number, then 4 and 13,838,082.25 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 55,352,329
-1 55,352,329
Keep dividing by the next highest number until you cannot divide anymore.

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

12329316677138992,67720,67761,57177,63382,9871,785,5591,908,7012,406,62355,352,329
-1-23-29-31-667-713-899-2,677-20,677-61,571-77,633-82,987-1,785,559-1,908,701-2,406,623-55,352,329

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