Q: What are the factor combinations of the number 49,369,135?

 A:
Positive:   1 x 493691355 x 987382759 x 836765113 x 436895295 x 167353565 x 873791481 x 333356667 x 7405
Negative: -1 x -49369135-5 x -9873827-59 x -836765-113 x -436895-295 x -167353-565 x -87379-1481 x -33335-6667 x -7405


How do I find the factor combinations of the number 49,369,135?

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 49,369,135, 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 49,369,135
-1 -49,369,135

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 49,369,135.

Example:
1 x 49,369,135 = 49,369,135
and
-1 x -49,369,135 = 49,369,135
Notice both answers equal 49,369,135

With that explanation out of the way, let's continue. Next, we take the number 49,369,135 and divide it by 2:

49,369,135 ÷ 2 = 24,684,567.5

If the quotient is a whole number, then 2 and 24,684,567.5 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 49,369,135
-1 -49,369,135

Now, we try dividing 49,369,135 by 3:

49,369,135 ÷ 3 = 16,456,378.3333

If the quotient is a whole number, then 3 and 16,456,378.3333 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 49,369,135
-1 -49,369,135

Let's try dividing by 4:

49,369,135 ÷ 4 = 12,342,283.75

If the quotient is a whole number, then 4 and 12,342,283.75 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 49,369,135
-1 49,369,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15591132955651,4816,6677,40533,33587,379167,353436,895836,7659,873,82749,369,135
-1-5-59-113-295-565-1,481-6,667-7,405-33,335-87,379-167,353-436,895-836,765-9,873,827-49,369,135

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