Q: What are the factor combinations of the number 343,602,047?

 A:
Positive:   1 x 34360204731 x 1108393779 x 4349393173 x 1986139811 x 4236772449 x 1403035363 x 6406913667 x 25141
Negative: -1 x -343602047-31 x -11083937-79 x -4349393-173 x -1986139-811 x -423677-2449 x -140303-5363 x -64069-13667 x -25141


How do I find the factor combinations of the number 343,602,047?

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 343,602,047, 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.

1 343,602,047
-1 -343,602,047

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 343,602,047.

Example:
1 x 343,602,047 = 343,602,047
and
-1 x -343,602,047 = 343,602,047
Notice both answers equal 343,602,047

With that explanation out of the way, let's continue. Next, we take the number 343,602,047 and divide it by 2:

343,602,047 ÷ 2 = 171,801,023.5

If the quotient is a whole number, then 2 and 171,801,023.5 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:

1 343,602,047
-1 -343,602,047

Now, we try dividing 343,602,047 by 3:

343,602,047 ÷ 3 = 114,534,015.6667

If the quotient is a whole number, then 3 and 114,534,015.6667 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:

1 343,602,047
-1 -343,602,047

Let's try dividing by 4:

343,602,047 ÷ 4 = 85,900,511.75

If the quotient is a whole number, then 4 and 85,900,511.75 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:

1 343,602,047
-1 343,602,047
Keep dividing by the next highest number until you cannot divide anymore.

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

131791738112,4495,36313,66725,14164,069140,303423,6771,986,1394,349,39311,083,937343,602,047
-1-31-79-173-811-2,449-5,363-13,667-25,141-64,069-140,303-423,677-1,986,139-4,349,393-11,083,937-343,602,047

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