Q: What are the factor combinations of the number 47,134,373?

 A:
Positive:   1 x 4713437311 x 428494313 x 362572147 x 1002859143 x 329611517 x 91169611 x 771436721 x 7013
Negative: -1 x -47134373-11 x -4284943-13 x -3625721-47 x -1002859-143 x -329611-517 x -91169-611 x -77143-6721 x -7013


How do I find the factor combinations of the number 47,134,373?

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 47,134,373, 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 47,134,373
-1 -47,134,373

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 47,134,373.

Example:
1 x 47,134,373 = 47,134,373
and
-1 x -47,134,373 = 47,134,373
Notice both answers equal 47,134,373

With that explanation out of the way, let's continue. Next, we take the number 47,134,373 and divide it by 2:

47,134,373 ÷ 2 = 23,567,186.5

If the quotient is a whole number, then 2 and 23,567,186.5 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 47,134,373
-1 -47,134,373

Now, we try dividing 47,134,373 by 3:

47,134,373 ÷ 3 = 15,711,457.6667

If the quotient is a whole number, then 3 and 15,711,457.6667 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 47,134,373
-1 -47,134,373

Let's try dividing by 4:

47,134,373 ÷ 4 = 11,783,593.25

If the quotient is a whole number, then 4 and 11,783,593.25 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 47,134,373
-1 47,134,373
Keep dividing by the next highest number until you cannot divide anymore.

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

11113471435176116,7217,01377,14391,169329,6111,002,8593,625,7214,284,94347,134,373
-1-11-13-47-143-517-611-6,721-7,013-77,143-91,169-329,611-1,002,859-3,625,721-4,284,943-47,134,373

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