Q: What are the factor combinations of the number 342,723,689?

 A:
Positive:   1 x 3427236897 x 4896052711 x 3115669917 x 2016021749 x 699436177 x 4450957113 x 3032953119 x 2880031187 x 1832747331 x 1035419539 x 635851791 x 433279833 x 4114331243 x 2757231309 x 2618211921 x 1784092317 x 1479173641 x 941295537 x 618975627 x 609078701 x 393899163 x 3740313447 x 2548716219 x 21131
Negative: -1 x -342723689-7 x -48960527-11 x -31156699-17 x -20160217-49 x -6994361-77 x -4450957-113 x -3032953-119 x -2880031-187 x -1832747-331 x -1035419-539 x -635851-791 x -433279-833 x -411433-1243 x -275723-1309 x -261821-1921 x -178409-2317 x -147917-3641 x -94129-5537 x -61897-5627 x -60907-8701 x -39389-9163 x -37403-13447 x -25487-16219 x -21131


How do I find the factor combinations of the number 342,723,689?

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 342,723,689, 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.

1 342,723,689
-1 -342,723,689

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 342,723,689.

Example:
1 x 342,723,689 = 342,723,689
and
-1 x -342,723,689 = 342,723,689
Notice both answers equal 342,723,689

With that explanation out of the way, let's continue. Next, we take the number 342,723,689 and divide it by 2:

342,723,689 ÷ 2 = 171,361,844.5

If the quotient is a whole number, then 2 and 171,361,844.5 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:

1 342,723,689
-1 -342,723,689

Now, we try dividing 342,723,689 by 3:

342,723,689 ÷ 3 = 114,241,229.6667

If the quotient is a whole number, then 3 and 114,241,229.6667 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:

1 342,723,689
-1 -342,723,689

Let's try dividing by 4:

342,723,689 ÷ 4 = 85,680,922.25

If the quotient is a whole number, then 4 and 85,680,922.25 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:

1 342,723,689
-1 342,723,689
Keep dividing by the next highest number until you cannot divide anymore.

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

17111749771131191873315397918331,2431,3091,9212,3173,6415,5375,6278,7019,16313,44716,21921,13125,48737,40339,38960,90761,89794,129147,917178,409261,821275,723411,433433,279635,8511,035,4191,832,7472,880,0313,032,9534,450,9576,994,36120,160,21731,156,69948,960,527342,723,689
-1-7-11-17-49-77-113-119-187-331-539-791-833-1,243-1,309-1,921-2,317-3,641-5,537-5,627-8,701-9,163-13,447-16,219-21,131-25,487-37,403-39,389-60,907-61,897-94,129-147,917-178,409-261,821-275,723-411,433-433,279-635,851-1,035,419-1,832,747-2,880,031-3,032,953-4,450,957-6,994,361-20,160,217-31,156,699-48,960,527-342,723,689

More Examples

Here are some more numbers to try:

342,723,687342,723,688342,723,690342,723,691
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