Q: What are the factor combinations of the number 242,103,647?

 A:
Positive:   1 x 24210364717 x 1424139141 x 5904967419 x 577813697 x 347351829 x 2920437123 x 3398914093 x 17179
Negative: -1 x -242103647-17 x -14241391-41 x -5904967-419 x -577813-697 x -347351-829 x -292043-7123 x -33989-14093 x -17179


How do I find the factor combinations of the number 242,103,647?

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 242,103,647, 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.

1 242,103,647
-1 -242,103,647

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 242,103,647.

Example:
1 x 242,103,647 = 242,103,647
and
-1 x -242,103,647 = 242,103,647
Notice both answers equal 242,103,647

With that explanation out of the way, let's continue. Next, we take the number 242,103,647 and divide it by 2:

242,103,647 ÷ 2 = 121,051,823.5

If the quotient is a whole number, then 2 and 121,051,823.5 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:

1 242,103,647
-1 -242,103,647

Now, we try dividing 242,103,647 by 3:

242,103,647 ÷ 3 = 80,701,215.6667

If the quotient is a whole number, then 3 and 80,701,215.6667 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:

1 242,103,647
-1 -242,103,647

Let's try dividing by 4:

242,103,647 ÷ 4 = 60,525,911.75

If the quotient is a whole number, then 4 and 60,525,911.75 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:

1 242,103,647
-1 242,103,647
Keep dividing by the next highest number until you cannot divide anymore.

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

117414196978297,12314,09317,17933,989292,043347,351577,8135,904,96714,241,391242,103,647
-1-17-41-419-697-829-7,123-14,093-17,179-33,989-292,043-347,351-577,813-5,904,967-14,241,391-242,103,647

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