Q: What are the factor combinations of the number 47,736,731?

 A:
Positive:   1 x 477367317 x 681953317 x 280804349 x 974219119 x 401149289 x 165179833 x 573072023 x 235973371 x 14161
Negative: -1 x -47736731-7 x -6819533-17 x -2808043-49 x -974219-119 x -401149-289 x -165179-833 x -57307-2023 x -23597-3371 x -14161


How do I find the factor combinations of the number 47,736,731?

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 47,736,731, 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 47,736,731
-1 -47,736,731

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 47,736,731.

Example:
1 x 47,736,731 = 47,736,731
and
-1 x -47,736,731 = 47,736,731
Notice both answers equal 47,736,731

With that explanation out of the way, let's continue. Next, we take the number 47,736,731 and divide it by 2:

47,736,731 ÷ 2 = 23,868,365.5

If the quotient is a whole number, then 2 and 23,868,365.5 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 47,736,731
-1 -47,736,731

Now, we try dividing 47,736,731 by 3:

47,736,731 ÷ 3 = 15,912,243.6667

If the quotient is a whole number, then 3 and 15,912,243.6667 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 47,736,731
-1 -47,736,731

Let's try dividing by 4:

47,736,731 ÷ 4 = 11,934,182.75

If the quotient is a whole number, then 4 and 11,934,182.75 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 47,736,731
-1 47,736,731
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491192898332,0233,37114,16123,59757,307165,179401,149974,2192,808,0436,819,53347,736,731
-1-7-17-49-119-289-833-2,023-3,371-14,161-23,597-57,307-165,179-401,149-974,219-2,808,043-6,819,533-47,736,731

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