Q: What are the factor combinations of the number 343,360,633?

 A:
Positive:   1 x 3433606337 x 4905151911 x 3121460343 x 798513177 x 4459229301 x 1140733473 x 7259213311 x 103703
Negative: -1 x -343360633-7 x -49051519-11 x -31214603-43 x -7985131-77 x -4459229-301 x -1140733-473 x -725921-3311 x -103703


How do I find the factor combinations of the number 343,360,633?

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 343,360,633, 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.

1 343,360,633
-1 -343,360,633

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 343,360,633.

Example:
1 x 343,360,633 = 343,360,633
and
-1 x -343,360,633 = 343,360,633
Notice both answers equal 343,360,633

With that explanation out of the way, let's continue. Next, we take the number 343,360,633 and divide it by 2:

343,360,633 ÷ 2 = 171,680,316.5

If the quotient is a whole number, then 2 and 171,680,316.5 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:

1 343,360,633
-1 -343,360,633

Now, we try dividing 343,360,633 by 3:

343,360,633 ÷ 3 = 114,453,544.3333

If the quotient is a whole number, then 3 and 114,453,544.3333 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:

1 343,360,633
-1 -343,360,633

Let's try dividing by 4:

343,360,633 ÷ 4 = 85,840,158.25

If the quotient is a whole number, then 4 and 85,840,158.25 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:

1 343,360,633
-1 343,360,633
Keep dividing by the next highest number until you cannot divide anymore.

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

171143773014733,311103,703725,9211,140,7334,459,2297,985,13131,214,60349,051,519343,360,633
-1-7-11-43-77-301-473-3,311-103,703-725,921-1,140,733-4,459,229-7,985,131-31,214,603-49,051,519-343,360,633

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