Q: What are the factor combinations of the number 343,033,015?

 A:
Positive:   1 x 3430330155 x 6860660313 x 2638715565 x 5277431149 x 2302235745 x 4604471937 x 1770959685 x 35419
Negative: -1 x -343033015-5 x -68606603-13 x -26387155-65 x -5277431-149 x -2302235-745 x -460447-1937 x -177095-9685 x -35419


How do I find the factor combinations of the number 343,033,015?

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 343,033,015, 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.

1 343,033,015
-1 -343,033,015

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 343,033,015.

Example:
1 x 343,033,015 = 343,033,015
and
-1 x -343,033,015 = 343,033,015
Notice both answers equal 343,033,015

With that explanation out of the way, let's continue. Next, we take the number 343,033,015 and divide it by 2:

343,033,015 ÷ 2 = 171,516,507.5

If the quotient is a whole number, then 2 and 171,516,507.5 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:

1 343,033,015
-1 -343,033,015

Now, we try dividing 343,033,015 by 3:

343,033,015 ÷ 3 = 114,344,338.3333

If the quotient is a whole number, then 3 and 114,344,338.3333 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:

1 343,033,015
-1 -343,033,015

Let's try dividing by 4:

343,033,015 ÷ 4 = 85,758,253.75

If the quotient is a whole number, then 4 and 85,758,253.75 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:

1 343,033,015
-1 343,033,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651497451,9379,68535,419177,095460,4472,302,2355,277,43126,387,15568,606,603343,033,015
-1-5-13-65-149-745-1,937-9,685-35,419-177,095-460,447-2,302,235-5,277,431-26,387,155-68,606,603-343,033,015

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