Q: What are the factor combinations of the number 20,042,099?

 A:
Positive:   1 x 200420997 x 286315711 x 182200917 x 117894761 x 32855977 x 260287119 x 168421187 x 107177251 x 79849427 x 46937671 x 298691037 x 193271309 x 153111757 x 114072761 x 72594267 x 4697
Negative: -1 x -20042099-7 x -2863157-11 x -1822009-17 x -1178947-61 x -328559-77 x -260287-119 x -168421-187 x -107177-251 x -79849-427 x -46937-671 x -29869-1037 x -19327-1309 x -15311-1757 x -11407-2761 x -7259-4267 x -4697


How do I find the factor combinations of the number 20,042,099?

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 20,042,099, 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 20,042,099
-1 -20,042,099

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 20,042,099.

Example:
1 x 20,042,099 = 20,042,099
and
-1 x -20,042,099 = 20,042,099
Notice both answers equal 20,042,099

With that explanation out of the way, let's continue. Next, we take the number 20,042,099 and divide it by 2:

20,042,099 ÷ 2 = 10,021,049.5

If the quotient is a whole number, then 2 and 10,021,049.5 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 20,042,099
-1 -20,042,099

Now, we try dividing 20,042,099 by 3:

20,042,099 ÷ 3 = 6,680,699.6667

If the quotient is a whole number, then 3 and 6,680,699.6667 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 20,042,099
-1 -20,042,099

Let's try dividing by 4:

20,042,099 ÷ 4 = 5,010,524.75

If the quotient is a whole number, then 4 and 5,010,524.75 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 20,042,099
-1 20,042,099
Keep dividing by the next highest number until you cannot divide anymore.

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

17111761771191872514276711,0371,3091,7572,7614,2674,6977,25911,40715,31119,32729,86946,93779,849107,177168,421260,287328,5591,178,9471,822,0092,863,15720,042,099
-1-7-11-17-61-77-119-187-251-427-671-1,037-1,309-1,757-2,761-4,267-4,697-7,259-11,407-15,311-19,327-29,869-46,937-79,849-107,177-168,421-260,287-328,559-1,178,947-1,822,009-2,863,157-20,042,099

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