Q: What are the factor combinations of the number 49,916,279?

 A:
Positive:   1 x 499162797 x 713089723 x 217027329 x 1721251161 x 310039203 x 245893667 x 748374669 x 10691
Negative: -1 x -49916279-7 x -7130897-23 x -2170273-29 x -1721251-161 x -310039-203 x -245893-667 x -74837-4669 x -10691


How do I find the factor combinations of the number 49,916,279?

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 49,916,279, 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 49,916,279
-1 -49,916,279

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 49,916,279.

Example:
1 x 49,916,279 = 49,916,279
and
-1 x -49,916,279 = 49,916,279
Notice both answers equal 49,916,279

With that explanation out of the way, let's continue. Next, we take the number 49,916,279 and divide it by 2:

49,916,279 ÷ 2 = 24,958,139.5

If the quotient is a whole number, then 2 and 24,958,139.5 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 49,916,279
-1 -49,916,279

Now, we try dividing 49,916,279 by 3:

49,916,279 ÷ 3 = 16,638,759.6667

If the quotient is a whole number, then 3 and 16,638,759.6667 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 49,916,279
-1 -49,916,279

Let's try dividing by 4:

49,916,279 ÷ 4 = 12,479,069.75

If the quotient is a whole number, then 4 and 12,479,069.75 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 49,916,279
-1 49,916,279
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612036674,66910,69174,837245,893310,0391,721,2512,170,2737,130,89749,916,279
-1-7-23-29-161-203-667-4,669-10,691-74,837-245,893-310,039-1,721,251-2,170,273-7,130,897-49,916,279

More Examples

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