Q: What are the factor combinations of the number 442,420,223?

 A:
Positive:   1 x 4424202237 x 6320288917 x 2602471973 x 6060551119 x 3717817511 x 8657931241 x 3565038687 x 50929
Negative: -1 x -442420223-7 x -63202889-17 x -26024719-73 x -6060551-119 x -3717817-511 x -865793-1241 x -356503-8687 x -50929


How do I find the factor combinations of the number 442,420,223?

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 442,420,223, 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.

1 442,420,223
-1 -442,420,223

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 442,420,223.

Example:
1 x 442,420,223 = 442,420,223
and
-1 x -442,420,223 = 442,420,223
Notice both answers equal 442,420,223

With that explanation out of the way, let's continue. Next, we take the number 442,420,223 and divide it by 2:

442,420,223 ÷ 2 = 221,210,111.5

If the quotient is a whole number, then 2 and 221,210,111.5 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:

1 442,420,223
-1 -442,420,223

Now, we try dividing 442,420,223 by 3:

442,420,223 ÷ 3 = 147,473,407.6667

If the quotient is a whole number, then 3 and 147,473,407.6667 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:

1 442,420,223
-1 -442,420,223

Let's try dividing by 4:

442,420,223 ÷ 4 = 110,605,055.75

If the quotient is a whole number, then 4 and 110,605,055.75 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:

1 442,420,223
-1 442,420,223
Keep dividing by the next highest number until you cannot divide anymore.

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

1717731195111,2418,68750,929356,503865,7933,717,8176,060,55126,024,71963,202,889442,420,223
-1-7-17-73-119-511-1,241-8,687-50,929-356,503-865,793-3,717,817-6,060,551-26,024,719-63,202,889-442,420,223

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