Q: What are the factor combinations of the number 346,342,135?

 A:
Positive:   1 x 3463421355 x 69268427103 x 3362545167 x 2073905515 x 672509835 x 4147814027 x 8600517201 x 20135
Negative: -1 x -346342135-5 x -69268427-103 x -3362545-167 x -2073905-515 x -672509-835 x -414781-4027 x -86005-17201 x -20135


How do I find the factor combinations of the number 346,342,135?

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 346,342,135, 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.

1 346,342,135
-1 -346,342,135

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 346,342,135.

Example:
1 x 346,342,135 = 346,342,135
and
-1 x -346,342,135 = 346,342,135
Notice both answers equal 346,342,135

With that explanation out of the way, let's continue. Next, we take the number 346,342,135 and divide it by 2:

346,342,135 ÷ 2 = 173,171,067.5

If the quotient is a whole number, then 2 and 173,171,067.5 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:

1 346,342,135
-1 -346,342,135

Now, we try dividing 346,342,135 by 3:

346,342,135 ÷ 3 = 115,447,378.3333

If the quotient is a whole number, then 3 and 115,447,378.3333 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:

1 346,342,135
-1 -346,342,135

Let's try dividing by 4:

346,342,135 ÷ 4 = 86,585,533.75

If the quotient is a whole number, then 4 and 86,585,533.75 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:

1 346,342,135
-1 346,342,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151031675158354,02717,20120,13586,005414,781672,5092,073,9053,362,54569,268,427346,342,135
-1-5-103-167-515-835-4,027-17,201-20,135-86,005-414,781-672,509-2,073,905-3,362,545-69,268,427-346,342,135

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