Q: What are the factor combinations of the number 43,650,139?

 A:
Positive:   1 x 4365013913 x 335770331 x 140806989 x 490451403 x 1083131157 x 377271217 x 358672759 x 15821
Negative: -1 x -43650139-13 x -3357703-31 x -1408069-89 x -490451-403 x -108313-1157 x -37727-1217 x -35867-2759 x -15821


How do I find the factor combinations of the number 43,650,139?

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 43,650,139, 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 43,650,139
-1 -43,650,139

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 43,650,139.

Example:
1 x 43,650,139 = 43,650,139
and
-1 x -43,650,139 = 43,650,139
Notice both answers equal 43,650,139

With that explanation out of the way, let's continue. Next, we take the number 43,650,139 and divide it by 2:

43,650,139 ÷ 2 = 21,825,069.5

If the quotient is a whole number, then 2 and 21,825,069.5 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 43,650,139
-1 -43,650,139

Now, we try dividing 43,650,139 by 3:

43,650,139 ÷ 3 = 14,550,046.3333

If the quotient is a whole number, then 3 and 14,550,046.3333 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 43,650,139
-1 -43,650,139

Let's try dividing by 4:

43,650,139 ÷ 4 = 10,912,534.75

If the quotient is a whole number, then 4 and 10,912,534.75 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 43,650,139
-1 43,650,139
Keep dividing by the next highest number until you cannot divide anymore.

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

11331894031,1571,2172,75915,82135,86737,727108,313490,4511,408,0693,357,70343,650,139
-1-13-31-89-403-1,157-1,217-2,759-15,821-35,867-37,727-108,313-490,451-1,408,069-3,357,703-43,650,139

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