Q: What are the factor combinations of the number 343,471,181?

 A:
Positive:   1 x 34347118183 x 4138207499 x 6883198293 x 41417
Negative: -1 x -343471181-83 x -4138207-499 x -688319-8293 x -41417


How do I find the factor combinations of the number 343,471,181?

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 343,471,181, 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.

1 343,471,181
-1 -343,471,181

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 343,471,181.

Example:
1 x 343,471,181 = 343,471,181
and
-1 x -343,471,181 = 343,471,181
Notice both answers equal 343,471,181

With that explanation out of the way, let's continue. Next, we take the number 343,471,181 and divide it by 2:

343,471,181 ÷ 2 = 171,735,590.5

If the quotient is a whole number, then 2 and 171,735,590.5 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:

1 343,471,181
-1 -343,471,181

Now, we try dividing 343,471,181 by 3:

343,471,181 ÷ 3 = 114,490,393.6667

If the quotient is a whole number, then 3 and 114,490,393.6667 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:

1 343,471,181
-1 -343,471,181

Let's try dividing by 4:

343,471,181 ÷ 4 = 85,867,795.25

If the quotient is a whole number, then 4 and 85,867,795.25 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:

1 343,471,181
-1 343,471,181
Keep dividing by the next highest number until you cannot divide anymore.

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

1834998,29341,417688,3194,138,207343,471,181
-1-83-499-8,293-41,417-688,319-4,138,207-343,471,181

More Examples

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