Q: What are the factor combinations of the number 335,550,677?

 A:
Positive:   1 x 3355506777 x 4793581111 x 3050460729 x 1157071349 x 684797377 x 4357801203 x 1652959319 x 1051883539 x 6225431421 x 2361372233 x 15026915631 x 21467
Negative: -1 x -335550677-7 x -47935811-11 x -30504607-29 x -11570713-49 x -6847973-77 x -4357801-203 x -1652959-319 x -1051883-539 x -622543-1421 x -236137-2233 x -150269-15631 x -21467


How do I find the factor combinations of the number 335,550,677?

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 335,550,677, 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.

1 335,550,677
-1 -335,550,677

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 335,550,677.

Example:
1 x 335,550,677 = 335,550,677
and
-1 x -335,550,677 = 335,550,677
Notice both answers equal 335,550,677

With that explanation out of the way, let's continue. Next, we take the number 335,550,677 and divide it by 2:

335,550,677 ÷ 2 = 167,775,338.5

If the quotient is a whole number, then 2 and 167,775,338.5 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:

1 335,550,677
-1 -335,550,677

Now, we try dividing 335,550,677 by 3:

335,550,677 ÷ 3 = 111,850,225.6667

If the quotient is a whole number, then 3 and 111,850,225.6667 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:

1 335,550,677
-1 -335,550,677

Let's try dividing by 4:

335,550,677 ÷ 4 = 83,887,669.25

If the quotient is a whole number, then 4 and 83,887,669.25 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:

1 335,550,677
-1 335,550,677
Keep dividing by the next highest number until you cannot divide anymore.

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

17112949772033195391,4212,23315,63121,467150,269236,137622,5431,051,8831,652,9594,357,8016,847,97311,570,71330,504,60747,935,811335,550,677
-1-7-11-29-49-77-203-319-539-1,421-2,233-15,631-21,467-150,269-236,137-622,543-1,051,883-1,652,959-4,357,801-6,847,973-11,570,713-30,504,607-47,935,811-335,550,677

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