Q: What are the factor combinations of the number 242,002,201?

 A:
Positive:   1 x 2420022017 x 3457174347 x 514898379 x 3063319329 x 735569553 x 4376173713 x 651779311 x 25991
Negative: -1 x -242002201-7 x -34571743-47 x -5148983-79 x -3063319-329 x -735569-553 x -437617-3713 x -65177-9311 x -25991


How do I find the factor combinations of the number 242,002,201?

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 242,002,201, 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.

1 242,002,201
-1 -242,002,201

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 242,002,201.

Example:
1 x 242,002,201 = 242,002,201
and
-1 x -242,002,201 = 242,002,201
Notice both answers equal 242,002,201

With that explanation out of the way, let's continue. Next, we take the number 242,002,201 and divide it by 2:

242,002,201 ÷ 2 = 121,001,100.5

If the quotient is a whole number, then 2 and 121,001,100.5 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:

1 242,002,201
-1 -242,002,201

Now, we try dividing 242,002,201 by 3:

242,002,201 ÷ 3 = 80,667,400.3333

If the quotient is a whole number, then 3 and 80,667,400.3333 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:

1 242,002,201
-1 -242,002,201

Let's try dividing by 4:

242,002,201 ÷ 4 = 60,500,550.25

If the quotient is a whole number, then 4 and 60,500,550.25 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:

1 242,002,201
-1 242,002,201
Keep dividing by the next highest number until you cannot divide anymore.

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

1747793295533,7139,31125,99165,177437,617735,5693,063,3195,148,98334,571,743242,002,201
-1-7-47-79-329-553-3,713-9,311-25,991-65,177-437,617-735,569-3,063,319-5,148,983-34,571,743-242,002,201

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