Q: What are the factor combinations of the number 341,231,011?

 A:
Positive:   1 x 34123101111 x 3102100161 x 559395183 x 4111217121 x 2820091557 x 612623671 x 508541913 x 3737475063 x 673976127 x 556937381 x 4623110043 x 33977
Negative: -1 x -341231011-11 x -31021001-61 x -5593951-83 x -4111217-121 x -2820091-557 x -612623-671 x -508541-913 x -373747-5063 x -67397-6127 x -55693-7381 x -46231-10043 x -33977


How do I find the factor combinations of the number 341,231,011?

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 341,231,011, 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.

1 341,231,011
-1 -341,231,011

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 341,231,011.

Example:
1 x 341,231,011 = 341,231,011
and
-1 x -341,231,011 = 341,231,011
Notice both answers equal 341,231,011

With that explanation out of the way, let's continue. Next, we take the number 341,231,011 and divide it by 2:

341,231,011 ÷ 2 = 170,615,505.5

If the quotient is a whole number, then 2 and 170,615,505.5 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:

1 341,231,011
-1 -341,231,011

Now, we try dividing 341,231,011 by 3:

341,231,011 ÷ 3 = 113,743,670.3333

If the quotient is a whole number, then 3 and 113,743,670.3333 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:

1 341,231,011
-1 -341,231,011

Let's try dividing by 4:

341,231,011 ÷ 4 = 85,307,752.75

If the quotient is a whole number, then 4 and 85,307,752.75 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:

1 341,231,011
-1 341,231,011
Keep dividing by the next highest number until you cannot divide anymore.

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

11161831215576719135,0636,1277,38110,04333,97746,23155,69367,397373,747508,541612,6232,820,0914,111,2175,593,95131,021,001341,231,011
-1-11-61-83-121-557-671-913-5,063-6,127-7,381-10,043-33,977-46,231-55,693-67,397-373,747-508,541-612,623-2,820,091-4,111,217-5,593,951-31,021,001-341,231,011

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