Q: What are the factor combinations of the number 47,464,781?

 A:
Positive:   1 x 474647817 x 678068313 x 365113749 x 96866991 x 521591269 x 176449277 x 171353637 x 745131883 x 252071939 x 244793497 x 135733601 x 13181
Negative: -1 x -47464781-7 x -6780683-13 x -3651137-49 x -968669-91 x -521591-269 x -176449-277 x -171353-637 x -74513-1883 x -25207-1939 x -24479-3497 x -13573-3601 x -13181


How do I find the factor combinations of the number 47,464,781?

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 47,464,781, 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 47,464,781
-1 -47,464,781

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 47,464,781.

Example:
1 x 47,464,781 = 47,464,781
and
-1 x -47,464,781 = 47,464,781
Notice both answers equal 47,464,781

With that explanation out of the way, let's continue. Next, we take the number 47,464,781 and divide it by 2:

47,464,781 ÷ 2 = 23,732,390.5

If the quotient is a whole number, then 2 and 23,732,390.5 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 47,464,781
-1 -47,464,781

Now, we try dividing 47,464,781 by 3:

47,464,781 ÷ 3 = 15,821,593.6667

If the quotient is a whole number, then 3 and 15,821,593.6667 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 47,464,781
-1 -47,464,781

Let's try dividing by 4:

47,464,781 ÷ 4 = 11,866,195.25

If the quotient is a whole number, then 4 and 11,866,195.25 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 47,464,781
-1 47,464,781
Keep dividing by the next highest number until you cannot divide anymore.

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

171349912692776371,8831,9393,4973,60113,18113,57324,47925,20774,513171,353176,449521,591968,6693,651,1376,780,68347,464,781
-1-7-13-49-91-269-277-637-1,883-1,939-3,497-3,601-13,181-13,573-24,479-25,207-74,513-171,353-176,449-521,591-968,669-3,651,137-6,780,683-47,464,781

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