Q: What are the factor combinations of the number 42,240,121?

 A:
Positive:   1 x 422401217 x 603430311 x 384001117 x 248471323 x 183652761 x 69246177 x 548573119 x 354959161 x 262361187 x 225883253 x 166957391 x 108031427 x 98923529 x 79849671 x 629511037 x 407331309 x 322691403 x 301071771 x 238512737 x 154333703 x 114074301 x 98214697 x 89935819 x 7259
Negative: -1 x -42240121-7 x -6034303-11 x -3840011-17 x -2484713-23 x -1836527-61 x -692461-77 x -548573-119 x -354959-161 x -262361-187 x -225883-253 x -166957-391 x -108031-427 x -98923-529 x -79849-671 x -62951-1037 x -40733-1309 x -32269-1403 x -30107-1771 x -23851-2737 x -15433-3703 x -11407-4301 x -9821-4697 x -8993-5819 x -7259


How do I find the factor combinations of the number 42,240,121?

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 42,240,121, 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 42,240,121
-1 -42,240,121

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 42,240,121.

Example:
1 x 42,240,121 = 42,240,121
and
-1 x -42,240,121 = 42,240,121
Notice both answers equal 42,240,121

With that explanation out of the way, let's continue. Next, we take the number 42,240,121 and divide it by 2:

42,240,121 ÷ 2 = 21,120,060.5

If the quotient is a whole number, then 2 and 21,120,060.5 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 42,240,121
-1 -42,240,121

Now, we try dividing 42,240,121 by 3:

42,240,121 ÷ 3 = 14,080,040.3333

If the quotient is a whole number, then 3 and 14,080,040.3333 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 42,240,121
-1 -42,240,121

Let's try dividing by 4:

42,240,121 ÷ 4 = 10,560,030.25

If the quotient is a whole number, then 4 and 10,560,030.25 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 42,240,121
-1 42,240,121
Keep dividing by the next highest number until you cannot divide anymore.

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

1711172361771191611872533914275296711,0371,3091,4031,7712,7373,7034,3014,6975,8197,2598,9939,82111,40715,43323,85130,10732,26940,73362,95179,84998,923108,031166,957225,883262,361354,959548,573692,4611,836,5272,484,7133,840,0116,034,30342,240,121
-1-7-11-17-23-61-77-119-161-187-253-391-427-529-671-1,037-1,309-1,403-1,771-2,737-3,703-4,301-4,697-5,819-7,259-8,993-9,821-11,407-15,433-23,851-30,107-32,269-40,733-62,951-79,849-98,923-108,031-166,957-225,883-262,361-354,959-548,573-692,461-1,836,527-2,484,713-3,840,011-6,034,303-42,240,121

More Examples

Here are some more numbers to try:

42,240,11942,240,12042,240,12242,240,123
Try the factor calculator

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