Q: What are the factor combinations of the number 360,066,343?

 A:
Positive:   1 x 3600663437 x 5143804913 x 2769741191 x 3956773383 x 9401212681 x 1343034979 x 7231710331 x 34853
Negative: -1 x -360066343-7 x -51438049-13 x -27697411-91 x -3956773-383 x -940121-2681 x -134303-4979 x -72317-10331 x -34853


How do I find the factor combinations of the number 360,066,343?

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 360,066,343, 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.

1 360,066,343
-1 -360,066,343

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 360,066,343.

Example:
1 x 360,066,343 = 360,066,343
and
-1 x -360,066,343 = 360,066,343
Notice both answers equal 360,066,343

With that explanation out of the way, let's continue. Next, we take the number 360,066,343 and divide it by 2:

360,066,343 ÷ 2 = 180,033,171.5

If the quotient is a whole number, then 2 and 180,033,171.5 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:

1 360,066,343
-1 -360,066,343

Now, we try dividing 360,066,343 by 3:

360,066,343 ÷ 3 = 120,022,114.3333

If the quotient is a whole number, then 3 and 120,022,114.3333 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:

1 360,066,343
-1 -360,066,343

Let's try dividing by 4:

360,066,343 ÷ 4 = 90,016,585.75

If the quotient is a whole number, then 4 and 90,016,585.75 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:

1 360,066,343
-1 360,066,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913832,6814,97910,33134,85372,317134,303940,1213,956,77327,697,41151,438,049360,066,343
-1-7-13-91-383-2,681-4,979-10,331-34,853-72,317-134,303-940,121-3,956,773-27,697,411-51,438,049-360,066,343

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