Q: What are the factor combinations of the number 244,420,033?

 A:
Positive:   1 x 24442003311 x 2222000313 x 1880154117 x 1437764929 x 8428277143 x 1709231187 x 1307059221 x 1105973319 x 766207377 x 648329493 x 4957812431 x 1005433467 x 704994147 x 589395423 x 450716409 x 38137
Negative: -1 x -244420033-11 x -22220003-13 x -18801541-17 x -14377649-29 x -8428277-143 x -1709231-187 x -1307059-221 x -1105973-319 x -766207-377 x -648329-493 x -495781-2431 x -100543-3467 x -70499-4147 x -58939-5423 x -45071-6409 x -38137


How do I find the factor combinations of the number 244,420,033?

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 244,420,033, 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.

1 244,420,033
-1 -244,420,033

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 244,420,033.

Example:
1 x 244,420,033 = 244,420,033
and
-1 x -244,420,033 = 244,420,033
Notice both answers equal 244,420,033

With that explanation out of the way, let's continue. Next, we take the number 244,420,033 and divide it by 2:

244,420,033 ÷ 2 = 122,210,016.5

If the quotient is a whole number, then 2 and 122,210,016.5 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:

1 244,420,033
-1 -244,420,033

Now, we try dividing 244,420,033 by 3:

244,420,033 ÷ 3 = 81,473,344.3333

If the quotient is a whole number, then 3 and 81,473,344.3333 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:

1 244,420,033
-1 -244,420,033

Let's try dividing by 4:

244,420,033 ÷ 4 = 61,105,008.25

If the quotient is a whole number, then 4 and 61,105,008.25 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:

1 244,420,033
-1 244,420,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1111317291431872213193774932,4313,4674,1475,4236,40938,13745,07158,93970,499100,543495,781648,329766,2071,105,9731,307,0591,709,2318,428,27714,377,64918,801,54122,220,003244,420,033
-1-11-13-17-29-143-187-221-319-377-493-2,431-3,467-4,147-5,423-6,409-38,137-45,071-58,939-70,499-100,543-495,781-648,329-766,207-1,105,973-1,307,059-1,709,231-8,428,277-14,377,649-18,801,541-22,220,003-244,420,033

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