Q: What are the factor combinations of the number 343,155,029?

 A:
Positive:   1 x 3431550297 x 4902214719 x 18060791133 x 25801131283 x 2674632011 x 1706398981 x 3820914077 x 24377
Negative: -1 x -343155029-7 x -49022147-19 x -18060791-133 x -2580113-1283 x -267463-2011 x -170639-8981 x -38209-14077 x -24377


How do I find the factor combinations of the number 343,155,029?

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 343,155,029, 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.

1 343,155,029
-1 -343,155,029

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 343,155,029.

Example:
1 x 343,155,029 = 343,155,029
and
-1 x -343,155,029 = 343,155,029
Notice both answers equal 343,155,029

With that explanation out of the way, let's continue. Next, we take the number 343,155,029 and divide it by 2:

343,155,029 ÷ 2 = 171,577,514.5

If the quotient is a whole number, then 2 and 171,577,514.5 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:

1 343,155,029
-1 -343,155,029

Now, we try dividing 343,155,029 by 3:

343,155,029 ÷ 3 = 114,385,009.6667

If the quotient is a whole number, then 3 and 114,385,009.6667 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:

1 343,155,029
-1 -343,155,029

Let's try dividing by 4:

343,155,029 ÷ 4 = 85,788,757.25

If the quotient is a whole number, then 4 and 85,788,757.25 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:

1 343,155,029
-1 343,155,029
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331,2832,0118,98114,07724,37738,209170,639267,4632,580,11318,060,79149,022,147343,155,029
-1-7-19-133-1,283-2,011-8,981-14,077-24,377-38,209-170,639-267,463-2,580,113-18,060,791-49,022,147-343,155,029

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