Q: What are the factor combinations of the number 243,422,543?

 A:
Positive:   1 x 2434225437 x 3477464913 x 1872481149 x 496780791 x 2674973263 x 925561637 x 3821391453 x 1675311841 x 1322233419 x 7119710171 x 2393312887 x 18889
Negative: -1 x -243422543-7 x -34774649-13 x -18724811-49 x -4967807-91 x -2674973-263 x -925561-637 x -382139-1453 x -167531-1841 x -132223-3419 x -71197-10171 x -23933-12887 x -18889


How do I find the factor combinations of the number 243,422,543?

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 243,422,543, 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.

1 243,422,543
-1 -243,422,543

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 243,422,543.

Example:
1 x 243,422,543 = 243,422,543
and
-1 x -243,422,543 = 243,422,543
Notice both answers equal 243,422,543

With that explanation out of the way, let's continue. Next, we take the number 243,422,543 and divide it by 2:

243,422,543 ÷ 2 = 121,711,271.5

If the quotient is a whole number, then 2 and 121,711,271.5 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:

1 243,422,543
-1 -243,422,543

Now, we try dividing 243,422,543 by 3:

243,422,543 ÷ 3 = 81,140,847.6667

If the quotient is a whole number, then 3 and 81,140,847.6667 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:

1 243,422,543
-1 -243,422,543

Let's try dividing by 4:

243,422,543 ÷ 4 = 60,855,635.75

If the quotient is a whole number, then 4 and 60,855,635.75 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:

1 243,422,543
-1 243,422,543
Keep dividing by the next highest number until you cannot divide anymore.

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

171349912636371,4531,8413,41910,17112,88718,88923,93371,197132,223167,531382,139925,5612,674,9734,967,80718,724,81134,774,649243,422,543
-1-7-13-49-91-263-637-1,453-1,841-3,419-10,171-12,887-18,889-23,933-71,197-132,223-167,531-382,139-925,561-2,674,973-4,967,807-18,724,811-34,774,649-243,422,543

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