Q: What are the factor combinations of the number 341,021,143?

 A:
Positive:   1 x 34102114347 x 72557691951 x 1747933719 x 91697
Negative: -1 x -341021143-47 x -7255769-1951 x -174793-3719 x -91697


How do I find the factor combinations of the number 341,021,143?

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 341,021,143, 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.

1 341,021,143
-1 -341,021,143

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 341,021,143.

Example:
1 x 341,021,143 = 341,021,143
and
-1 x -341,021,143 = 341,021,143
Notice both answers equal 341,021,143

With that explanation out of the way, let's continue. Next, we take the number 341,021,143 and divide it by 2:

341,021,143 ÷ 2 = 170,510,571.5

If the quotient is a whole number, then 2 and 170,510,571.5 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:

1 341,021,143
-1 -341,021,143

Now, we try dividing 341,021,143 by 3:

341,021,143 ÷ 3 = 113,673,714.3333

If the quotient is a whole number, then 3 and 113,673,714.3333 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:

1 341,021,143
-1 -341,021,143

Let's try dividing by 4:

341,021,143 ÷ 4 = 85,255,285.75

If the quotient is a whole number, then 4 and 85,255,285.75 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:

1 341,021,143
-1 341,021,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1471,9513,71991,697174,7937,255,769341,021,143
-1-47-1,951-3,719-91,697-174,793-7,255,769-341,021,143

More Examples

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