Q: What are the factor combinations of the number 343,201,433?

 A:
Positive:   1 x 34320143361 x 562625371 x 4833823109 x 3148637727 x 4720794331 x 792436649 x 516177739 x 44347
Negative: -1 x -343201433-61 x -5626253-71 x -4833823-109 x -3148637-727 x -472079-4331 x -79243-6649 x -51617-7739 x -44347


How do I find the factor combinations of the number 343,201,433?

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 343,201,433, 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.

1 343,201,433
-1 -343,201,433

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 343,201,433.

Example:
1 x 343,201,433 = 343,201,433
and
-1 x -343,201,433 = 343,201,433
Notice both answers equal 343,201,433

With that explanation out of the way, let's continue. Next, we take the number 343,201,433 and divide it by 2:

343,201,433 ÷ 2 = 171,600,716.5

If the quotient is a whole number, then 2 and 171,600,716.5 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:

1 343,201,433
-1 -343,201,433

Now, we try dividing 343,201,433 by 3:

343,201,433 ÷ 3 = 114,400,477.6667

If the quotient is a whole number, then 3 and 114,400,477.6667 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:

1 343,201,433
-1 -343,201,433

Let's try dividing by 4:

343,201,433 ÷ 4 = 85,800,358.25

If the quotient is a whole number, then 4 and 85,800,358.25 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:

1 343,201,433
-1 343,201,433
Keep dividing by the next highest number until you cannot divide anymore.

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

161711097274,3316,6497,73944,34751,61779,243472,0793,148,6374,833,8235,626,253343,201,433
-1-61-71-109-727-4,331-6,649-7,739-44,347-51,617-79,243-472,079-3,148,637-4,833,823-5,626,253-343,201,433

More Examples

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