Q: What are the factor combinations of the number 47,051,771?

 A:
Positive:   1 x 4705177113 x 361936719 x 247640971 x 662701247 x 190493923 x 509771349 x 348792683 x 17537
Negative: -1 x -47051771-13 x -3619367-19 x -2476409-71 x -662701-247 x -190493-923 x -50977-1349 x -34879-2683 x -17537


How do I find the factor combinations of the number 47,051,771?

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 47,051,771, 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 47,051,771
-1 -47,051,771

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 47,051,771.

Example:
1 x 47,051,771 = 47,051,771
and
-1 x -47,051,771 = 47,051,771
Notice both answers equal 47,051,771

With that explanation out of the way, let's continue. Next, we take the number 47,051,771 and divide it by 2:

47,051,771 ÷ 2 = 23,525,885.5

If the quotient is a whole number, then 2 and 23,525,885.5 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 47,051,771
-1 -47,051,771

Now, we try dividing 47,051,771 by 3:

47,051,771 ÷ 3 = 15,683,923.6667

If the quotient is a whole number, then 3 and 15,683,923.6667 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 47,051,771
-1 -47,051,771

Let's try dividing by 4:

47,051,771 ÷ 4 = 11,762,942.75

If the quotient is a whole number, then 4 and 11,762,942.75 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 47,051,771
-1 47,051,771
Keep dividing by the next highest number until you cannot divide anymore.

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

11319712479231,3492,68317,53734,87950,977190,493662,7012,476,4093,619,36747,051,771
-1-13-19-71-247-923-1,349-2,683-17,537-34,879-50,977-190,493-662,701-2,476,409-3,619,367-47,051,771

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