Q: What are the factor combinations of the number 42,360,043?

 A:
Positive:   1 x 4236004311 x 385091323 x 184174131 x 1366453121 x 350083253 x 167431341 x 124223491 x 86273713 x 594112783 x 152213751 x 112935401 x 7843
Negative: -1 x -42360043-11 x -3850913-23 x -1841741-31 x -1366453-121 x -350083-253 x -167431-341 x -124223-491 x -86273-713 x -59411-2783 x -15221-3751 x -11293-5401 x -7843


How do I find the factor combinations of the number 42,360,043?

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 42,360,043, 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 42,360,043
-1 -42,360,043

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 42,360,043.

Example:
1 x 42,360,043 = 42,360,043
and
-1 x -42,360,043 = 42,360,043
Notice both answers equal 42,360,043

With that explanation out of the way, let's continue. Next, we take the number 42,360,043 and divide it by 2:

42,360,043 ÷ 2 = 21,180,021.5

If the quotient is a whole number, then 2 and 21,180,021.5 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 42,360,043
-1 -42,360,043

Now, we try dividing 42,360,043 by 3:

42,360,043 ÷ 3 = 14,120,014.3333

If the quotient is a whole number, then 3 and 14,120,014.3333 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 42,360,043
-1 -42,360,043

Let's try dividing by 4:

42,360,043 ÷ 4 = 10,590,010.75

If the quotient is a whole number, then 4 and 10,590,010.75 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 42,360,043
-1 42,360,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11123311212533414917132,7833,7515,4017,84311,29315,22159,41186,273124,223167,431350,0831,366,4531,841,7413,850,91342,360,043
-1-11-23-31-121-253-341-491-713-2,783-3,751-5,401-7,843-11,293-15,221-59,411-86,273-124,223-167,431-350,083-1,366,453-1,841,741-3,850,913-42,360,043

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