Q: What are the factor combinations of the number 343,400,155?

 A:
Positive:   1 x 3434001555 x 686800317 x 4905716535 x 9811433463 x 7416852315 x 1483373241 x 10595516205 x 21191
Negative: -1 x -343400155-5 x -68680031-7 x -49057165-35 x -9811433-463 x -741685-2315 x -148337-3241 x -105955-16205 x -21191


How do I find the factor combinations of the number 343,400,155?

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 343,400,155, 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.

1 343,400,155
-1 -343,400,155

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 343,400,155.

Example:
1 x 343,400,155 = 343,400,155
and
-1 x -343,400,155 = 343,400,155
Notice both answers equal 343,400,155

With that explanation out of the way, let's continue. Next, we take the number 343,400,155 and divide it by 2:

343,400,155 ÷ 2 = 171,700,077.5

If the quotient is a whole number, then 2 and 171,700,077.5 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:

1 343,400,155
-1 -343,400,155

Now, we try dividing 343,400,155 by 3:

343,400,155 ÷ 3 = 114,466,718.3333

If the quotient is a whole number, then 3 and 114,466,718.3333 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:

1 343,400,155
-1 -343,400,155

Let's try dividing by 4:

343,400,155 ÷ 4 = 85,850,038.75

If the quotient is a whole number, then 4 and 85,850,038.75 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:

1 343,400,155
-1 343,400,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157354632,3153,24116,20521,191105,955148,337741,6859,811,43349,057,16568,680,031343,400,155
-1-5-7-35-463-2,315-3,241-16,205-21,191-105,955-148,337-741,685-9,811,433-49,057,165-68,680,031-343,400,155

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