Q: What are the factor combinations of the number 213,543,043?

 A:
Positive:   1 x 2135430437 x 3050614947 x 4543469329 x 649067433 x 4931711499 x 1424573031 x 7045310493 x 20351
Negative: -1 x -213543043-7 x -30506149-47 x -4543469-329 x -649067-433 x -493171-1499 x -142457-3031 x -70453-10493 x -20351


How do I find the factor combinations of the number 213,543,043?

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 213,543,043, 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.

1 213,543,043
-1 -213,543,043

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 213,543,043.

Example:
1 x 213,543,043 = 213,543,043
and
-1 x -213,543,043 = 213,543,043
Notice both answers equal 213,543,043

With that explanation out of the way, let's continue. Next, we take the number 213,543,043 and divide it by 2:

213,543,043 ÷ 2 = 106,771,521.5

If the quotient is a whole number, then 2 and 106,771,521.5 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:

1 213,543,043
-1 -213,543,043

Now, we try dividing 213,543,043 by 3:

213,543,043 ÷ 3 = 71,181,014.3333

If the quotient is a whole number, then 3 and 71,181,014.3333 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:

1 213,543,043
-1 -213,543,043

Let's try dividing by 4:

213,543,043 ÷ 4 = 53,385,760.75

If the quotient is a whole number, then 4 and 53,385,760.75 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:

1 213,543,043
-1 213,543,043
Keep dividing by the next highest number until you cannot divide anymore.

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

17473294331,4993,03110,49320,35170,453142,457493,171649,0674,543,46930,506,149213,543,043
-1-7-47-329-433-1,499-3,031-10,493-20,351-70,453-142,457-493,171-649,067-4,543,469-30,506,149-213,543,043

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