Q: What are the factor combinations of the number 337,356,041?

 A:
Positive:   1 x 33735604111 x 3066873117 x 1984447359 x 5717899187 x 1804043649 x 5198091003 x 33634711033 x 30577
Negative: -1 x -337356041-11 x -30668731-17 x -19844473-59 x -5717899-187 x -1804043-649 x -519809-1003 x -336347-11033 x -30577


How do I find the factor combinations of the number 337,356,041?

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 337,356,041, 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.

1 337,356,041
-1 -337,356,041

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 337,356,041.

Example:
1 x 337,356,041 = 337,356,041
and
-1 x -337,356,041 = 337,356,041
Notice both answers equal 337,356,041

With that explanation out of the way, let's continue. Next, we take the number 337,356,041 and divide it by 2:

337,356,041 ÷ 2 = 168,678,020.5

If the quotient is a whole number, then 2 and 168,678,020.5 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:

1 337,356,041
-1 -337,356,041

Now, we try dividing 337,356,041 by 3:

337,356,041 ÷ 3 = 112,452,013.6667

If the quotient is a whole number, then 3 and 112,452,013.6667 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:

1 337,356,041
-1 -337,356,041

Let's try dividing by 4:

337,356,041 ÷ 4 = 84,339,010.25

If the quotient is a whole number, then 4 and 84,339,010.25 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:

1 337,356,041
-1 337,356,041
Keep dividing by the next highest number until you cannot divide anymore.

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

11117591876491,00311,03330,577336,347519,8091,804,0435,717,89919,844,47330,668,731337,356,041
-1-11-17-59-187-649-1,003-11,033-30,577-336,347-519,809-1,804,043-5,717,899-19,844,473-30,668,731-337,356,041

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