Q: What are the factor combinations of the number 242,033,099?

 A:
Positive:   1 x 2420330997 x 3457615711 x 2200300949 x 493945177 x 3143287191 x 1267189539 x 4490411337 x 1810272101 x 1151992351 x 1029499359 x 2586114707 x 16457
Negative: -1 x -242033099-7 x -34576157-11 x -22003009-49 x -4939451-77 x -3143287-191 x -1267189-539 x -449041-1337 x -181027-2101 x -115199-2351 x -102949-9359 x -25861-14707 x -16457


How do I find the factor combinations of the number 242,033,099?

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 242,033,099, 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.

1 242,033,099
-1 -242,033,099

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 242,033,099.

Example:
1 x 242,033,099 = 242,033,099
and
-1 x -242,033,099 = 242,033,099
Notice both answers equal 242,033,099

With that explanation out of the way, let's continue. Next, we take the number 242,033,099 and divide it by 2:

242,033,099 ÷ 2 = 121,016,549.5

If the quotient is a whole number, then 2 and 121,016,549.5 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:

1 242,033,099
-1 -242,033,099

Now, we try dividing 242,033,099 by 3:

242,033,099 ÷ 3 = 80,677,699.6667

If the quotient is a whole number, then 3 and 80,677,699.6667 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:

1 242,033,099
-1 -242,033,099

Let's try dividing by 4:

242,033,099 ÷ 4 = 60,508,274.75

If the quotient is a whole number, then 4 and 60,508,274.75 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:

1 242,033,099
-1 242,033,099
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771915391,3372,1012,3519,35914,70716,45725,861102,949115,199181,027449,0411,267,1893,143,2874,939,45122,003,00934,576,157242,033,099
-1-7-11-49-77-191-539-1,337-2,101-2,351-9,359-14,707-16,457-25,861-102,949-115,199-181,027-449,041-1,267,189-3,143,287-4,939,451-22,003,009-34,576,157-242,033,099

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