Q: What are the factor combinations of the number 244,002,427?

 A:
Positive:   1 x 24400242719 x 1284223347 x 519154173 x 3342499197 x 1238591361 x 675907893 x 2732391387 x 1759213431 x 711173743 x 651899259 x 2635314381 x 16967
Negative: -1 x -244002427-19 x -12842233-47 x -5191541-73 x -3342499-197 x -1238591-361 x -675907-893 x -273239-1387 x -175921-3431 x -71117-3743 x -65189-9259 x -26353-14381 x -16967


How do I find the factor combinations of the number 244,002,427?

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 244,002,427, 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.

1 244,002,427
-1 -244,002,427

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 244,002,427.

Example:
1 x 244,002,427 = 244,002,427
and
-1 x -244,002,427 = 244,002,427
Notice both answers equal 244,002,427

With that explanation out of the way, let's continue. Next, we take the number 244,002,427 and divide it by 2:

244,002,427 ÷ 2 = 122,001,213.5

If the quotient is a whole number, then 2 and 122,001,213.5 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:

1 244,002,427
-1 -244,002,427

Now, we try dividing 244,002,427 by 3:

244,002,427 ÷ 3 = 81,334,142.3333

If the quotient is a whole number, then 3 and 81,334,142.3333 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:

1 244,002,427
-1 -244,002,427

Let's try dividing by 4:

244,002,427 ÷ 4 = 61,000,606.75

If the quotient is a whole number, then 4 and 61,000,606.75 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:

1 244,002,427
-1 244,002,427
Keep dividing by the next highest number until you cannot divide anymore.

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

11947731973618931,3873,4313,7439,25914,38116,96726,35365,18971,117175,921273,239675,9071,238,5913,342,4995,191,54112,842,233244,002,427
-1-19-47-73-197-361-893-1,387-3,431-3,743-9,259-14,381-16,967-26,353-65,189-71,117-175,921-273,239-675,907-1,238,591-3,342,499-5,191,541-12,842,233-244,002,427

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