Q: What are the factor combinations of the number 50,164,265?

 A:
Positive:   1 x 501642655 x 1003285323 x 218105561 x 822365115 x 436211305 x 1644731403 x 357557015 x 7151
Negative: -1 x -50164265-5 x -10032853-23 x -2181055-61 x -822365-115 x -436211-305 x -164473-1403 x -35755-7015 x -7151


How do I find the factor combinations of the number 50,164,265?

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 50,164,265, 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 50,164,265
-1 -50,164,265

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 50,164,265.

Example:
1 x 50,164,265 = 50,164,265
and
-1 x -50,164,265 = 50,164,265
Notice both answers equal 50,164,265

With that explanation out of the way, let's continue. Next, we take the number 50,164,265 and divide it by 2:

50,164,265 ÷ 2 = 25,082,132.5

If the quotient is a whole number, then 2 and 25,082,132.5 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 50,164,265
-1 -50,164,265

Now, we try dividing 50,164,265 by 3:

50,164,265 ÷ 3 = 16,721,421.6667

If the quotient is a whole number, then 3 and 16,721,421.6667 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 50,164,265
-1 -50,164,265

Let's try dividing by 4:

50,164,265 ÷ 4 = 12,541,066.25

If the quotient is a whole number, then 4 and 12,541,066.25 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 50,164,265
-1 50,164,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1523611153051,4037,0157,15135,755164,473436,211822,3652,181,05510,032,85350,164,265
-1-5-23-61-115-305-1,403-7,015-7,151-35,755-164,473-436,211-822,365-2,181,055-10,032,853-50,164,265

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