Q: What are the factor combinations of the number 123,442,908?

 A:
Positive:   1 x 1234429082 x 617214543 x 411476364 x 308607276 x 2057381812 x 1028690929 x 425665258 x 212832687 x 1418884116 x 1064163174 x 709442229 x 539052348 x 354721458 x 269526687 x 179684916 x 1347631374 x 898421549 x 796922748 x 449213098 x 398464647 x 265646196 x 199236641 x 185889294 x 13282
Negative: -1 x -123442908-2 x -61721454-3 x -41147636-4 x -30860727-6 x -20573818-12 x -10286909-29 x -4256652-58 x -2128326-87 x -1418884-116 x -1064163-174 x -709442-229 x -539052-348 x -354721-458 x -269526-687 x -179684-916 x -134763-1374 x -89842-1549 x -79692-2748 x -44921-3098 x -39846-4647 x -26564-6196 x -19923-6641 x -18588-9294 x -13282


How do I find the factor combinations of the number 123,442,908?

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 123,442,908, 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.

1 123,442,908
-1 -123,442,908

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 123,442,908.

Example:
1 x 123,442,908 = 123,442,908
and
-1 x -123,442,908 = 123,442,908
Notice both answers equal 123,442,908

With that explanation out of the way, let's continue. Next, we take the number 123,442,908 and divide it by 2:

123,442,908 ÷ 2 = 61,721,454

If the quotient is a whole number, then 2 and 61,721,454 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 61,721,454 123,442,908
-1 -2 -61,721,454 -123,442,908

Now, we try dividing 123,442,908 by 3:

123,442,908 ÷ 3 = 41,147,636

If the quotient is a whole number, then 3 and 41,147,636 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 41,147,636 61,721,454 123,442,908
-1 -2 -3 -41,147,636 -61,721,454 -123,442,908

Let's try dividing by 4:

123,442,908 ÷ 4 = 30,860,727

If the quotient is a whole number, then 4 and 30,860,727 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 30,860,727 41,147,636 61,721,454 123,442,908
-1 -2 -3 -4 -30,860,727 -41,147,636 -61,721,454 123,442,908
Keep dividing by the next highest number until you cannot divide anymore.

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

12346122958871161742293484586879161,3741,5492,7483,0984,6476,1966,6419,29413,28218,58819,92326,56439,84644,92179,69289,842134,763179,684269,526354,721539,052709,4421,064,1631,418,8842,128,3264,256,65210,286,90920,573,81830,860,72741,147,63661,721,454123,442,908
-1-2-3-4-6-12-29-58-87-116-174-229-348-458-687-916-1,374-1,549-2,748-3,098-4,647-6,196-6,641-9,294-13,282-18,588-19,923-26,564-39,846-44,921-79,692-89,842-134,763-179,684-269,526-354,721-539,052-709,442-1,064,163-1,418,884-2,128,326-4,256,652-10,286,909-20,573,818-30,860,727-41,147,636-61,721,454-123,442,908

More Examples

Here are some more numbers to try:

123,442,906123,442,907123,442,909123,442,910
Try the factor calculator

Explore more about the number 123,442,908:


Ask a Question