Q: What are the factor combinations of the number 360,665,455?

 A:
Positive:   1 x 3606654555 x 7213309117 x 2121561537 x 974771585 x 4243123185 x 1949543629 x 5733953145 x 114679
Negative: -1 x -360665455-5 x -72133091-17 x -21215615-37 x -9747715-85 x -4243123-185 x -1949543-629 x -573395-3145 x -114679


How do I find the factor combinations of the number 360,665,455?

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 360,665,455, 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.

1 360,665,455
-1 -360,665,455

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 360,665,455.

Example:
1 x 360,665,455 = 360,665,455
and
-1 x -360,665,455 = 360,665,455
Notice both answers equal 360,665,455

With that explanation out of the way, let's continue. Next, we take the number 360,665,455 and divide it by 2:

360,665,455 ÷ 2 = 180,332,727.5

If the quotient is a whole number, then 2 and 180,332,727.5 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:

1 360,665,455
-1 -360,665,455

Now, we try dividing 360,665,455 by 3:

360,665,455 ÷ 3 = 120,221,818.3333

If the quotient is a whole number, then 3 and 120,221,818.3333 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:

1 360,665,455
-1 -360,665,455

Let's try dividing by 4:

360,665,455 ÷ 4 = 90,166,363.75

If the quotient is a whole number, then 4 and 90,166,363.75 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:

1 360,665,455
-1 360,665,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851856293,145114,679573,3951,949,5434,243,1239,747,71521,215,61572,133,091360,665,455
-1-5-17-37-85-185-629-3,145-114,679-573,395-1,949,543-4,243,123-9,747,715-21,215,615-72,133,091-360,665,455

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