Q: What are the factor combinations of the number 243,213,607?

 A:
Positive:   1 x 2432136077 x 3474480113 x 1870873949 x 496354391 x 2672677173 x 1405859637 x 3818111211 x 2008372207 x 1102012249 x 1081438477 x 2869115449 x 15743
Negative: -1 x -243213607-7 x -34744801-13 x -18708739-49 x -4963543-91 x -2672677-173 x -1405859-637 x -381811-1211 x -200837-2207 x -110201-2249 x -108143-8477 x -28691-15449 x -15743


How do I find the factor combinations of the number 243,213,607?

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 243,213,607, 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.

1 243,213,607
-1 -243,213,607

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 243,213,607.

Example:
1 x 243,213,607 = 243,213,607
and
-1 x -243,213,607 = 243,213,607
Notice both answers equal 243,213,607

With that explanation out of the way, let's continue. Next, we take the number 243,213,607 and divide it by 2:

243,213,607 ÷ 2 = 121,606,803.5

If the quotient is a whole number, then 2 and 121,606,803.5 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:

1 243,213,607
-1 -243,213,607

Now, we try dividing 243,213,607 by 3:

243,213,607 ÷ 3 = 81,071,202.3333

If the quotient is a whole number, then 3 and 81,071,202.3333 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:

1 243,213,607
-1 -243,213,607

Let's try dividing by 4:

243,213,607 ÷ 4 = 60,803,401.75

If the quotient is a whole number, then 4 and 60,803,401.75 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:

1 243,213,607
-1 243,213,607
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911736371,2112,2072,2498,47715,44915,74328,691108,143110,201200,837381,8111,405,8592,672,6774,963,54318,708,73934,744,801243,213,607
-1-7-13-49-91-173-637-1,211-2,207-2,249-8,477-15,449-15,743-28,691-108,143-110,201-200,837-381,811-1,405,859-2,672,677-4,963,543-18,708,739-34,744,801-243,213,607

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