Q: What are the factor combinations of the number 34,242,131?

 A:
Positive:   1 x 342421317 x 489173311 x 311292117 x 201424337 x 92546349 x 69881977 x 444703101 x 339031119 x 287749187 x 183113259 x 132209407 x 84133539 x 63529629 x 54439707 x 48433833 x 411071111 x 308211309 x 261591717 x 199431813 x 188872849 x 120193737 x 91634403 x 77774949 x 6919
Negative: -1 x -34242131-7 x -4891733-11 x -3112921-17 x -2014243-37 x -925463-49 x -698819-77 x -444703-101 x -339031-119 x -287749-187 x -183113-259 x -132209-407 x -84133-539 x -63529-629 x -54439-707 x -48433-833 x -41107-1111 x -30821-1309 x -26159-1717 x -19943-1813 x -18887-2849 x -12019-3737 x -9163-4403 x -7777-4949 x -6919


How do I find the factor combinations of the number 34,242,131?

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 34,242,131, 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 34,242,131
-1 -34,242,131

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 34,242,131.

Example:
1 x 34,242,131 = 34,242,131
and
-1 x -34,242,131 = 34,242,131
Notice both answers equal 34,242,131

With that explanation out of the way, let's continue. Next, we take the number 34,242,131 and divide it by 2:

34,242,131 ÷ 2 = 17,121,065.5

If the quotient is a whole number, then 2 and 17,121,065.5 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 34,242,131
-1 -34,242,131

Now, we try dividing 34,242,131 by 3:

34,242,131 ÷ 3 = 11,414,043.6667

If the quotient is a whole number, then 3 and 11,414,043.6667 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 34,242,131
-1 -34,242,131

Let's try dividing by 4:

34,242,131 ÷ 4 = 8,560,532.75

If the quotient is a whole number, then 4 and 8,560,532.75 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 34,242,131
-1 34,242,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1711173749771011191872594075396297078331,1111,3091,7171,8132,8493,7374,4034,9496,9197,7779,16312,01918,88719,94326,15930,82141,10748,43354,43963,52984,133132,209183,113287,749339,031444,703698,819925,4632,014,2433,112,9214,891,73334,242,131
-1-7-11-17-37-49-77-101-119-187-259-407-539-629-707-833-1,111-1,309-1,717-1,813-2,849-3,737-4,403-4,949-6,919-7,777-9,163-12,019-18,887-19,943-26,159-30,821-41,107-48,433-54,439-63,529-84,133-132,209-183,113-287,749-339,031-444,703-698,819-925,463-2,014,243-3,112,921-4,891,733-34,242,131

More Examples

Here are some more numbers to try:

34,242,12934,242,13034,242,13234,242,133
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