Q: What are the factor combinations of the number 722,241,443?

 A:
Positive:   1 x 7222414437 x 10317734911 x 6565831337 x 1952003977 x 9379759259 x 2788577407 x 17745492849 x 253507
Negative: -1 x -722241443-7 x -103177349-11 x -65658313-37 x -19520039-77 x -9379759-259 x -2788577-407 x -1774549-2849 x -253507


How do I find the factor combinations of the number 722,241,443?

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 722,241,443, 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.

1 722,241,443
-1 -722,241,443

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 722,241,443.

Example:
1 x 722,241,443 = 722,241,443
and
-1 x -722,241,443 = 722,241,443
Notice both answers equal 722,241,443

With that explanation out of the way, let's continue. Next, we take the number 722,241,443 and divide it by 2:

722,241,443 ÷ 2 = 361,120,721.5

If the quotient is a whole number, then 2 and 361,120,721.5 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:

1 722,241,443
-1 -722,241,443

Now, we try dividing 722,241,443 by 3:

722,241,443 ÷ 3 = 240,747,147.6667

If the quotient is a whole number, then 3 and 240,747,147.6667 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:

1 722,241,443
-1 -722,241,443

Let's try dividing by 4:

722,241,443 ÷ 4 = 180,560,360.75

If the quotient is a whole number, then 4 and 180,560,360.75 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:

1 722,241,443
-1 722,241,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,849253,5071,774,5492,788,5779,379,75919,520,03965,658,313103,177,349722,241,443
-1-7-11-37-77-259-407-2,849-253,507-1,774,549-2,788,577-9,379,759-19,520,039-65,658,313-103,177,349-722,241,443

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