Q: What are the factor combinations of the number 577,330,721?

 A:
Positive:   1 x 57733072111 x 5248461137 x 15603533223 x 2588927407 x 14185032453 x 2353576361 x 907618251 x 69971
Negative: -1 x -577330721-11 x -52484611-37 x -15603533-223 x -2588927-407 x -1418503-2453 x -235357-6361 x -90761-8251 x -69971


How do I find the factor combinations of the number 577,330,721?

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 577,330,721, 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.

1 577,330,721
-1 -577,330,721

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 577,330,721.

Example:
1 x 577,330,721 = 577,330,721
and
-1 x -577,330,721 = 577,330,721
Notice both answers equal 577,330,721

With that explanation out of the way, let's continue. Next, we take the number 577,330,721 and divide it by 2:

577,330,721 ÷ 2 = 288,665,360.5

If the quotient is a whole number, then 2 and 288,665,360.5 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:

1 577,330,721
-1 -577,330,721

Now, we try dividing 577,330,721 by 3:

577,330,721 ÷ 3 = 192,443,573.6667

If the quotient is a whole number, then 3 and 192,443,573.6667 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:

1 577,330,721
-1 -577,330,721

Let's try dividing by 4:

577,330,721 ÷ 4 = 144,332,680.25

If the quotient is a whole number, then 4 and 144,332,680.25 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:

1 577,330,721
-1 577,330,721
Keep dividing by the next highest number until you cannot divide anymore.

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

111372234072,4536,3618,25169,97190,761235,3571,418,5032,588,92715,603,53352,484,611577,330,721
-1-11-37-223-407-2,453-6,361-8,251-69,971-90,761-235,357-1,418,503-2,588,927-15,603,533-52,484,611-577,330,721

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