Q: What are the factor combinations of the number 360,362,645?

 A:
Positive:   1 x 3603626455 x 7207252919 x 1896645595 x 3793291853 x 4224654265 x 844934447 x 8103516207 x 22235
Negative: -1 x -360362645-5 x -72072529-19 x -18966455-95 x -3793291-853 x -422465-4265 x -84493-4447 x -81035-16207 x -22235


How do I find the factor combinations of the number 360,362,645?

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 360,362,645, 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.

1 360,362,645
-1 -360,362,645

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 360,362,645.

Example:
1 x 360,362,645 = 360,362,645
and
-1 x -360,362,645 = 360,362,645
Notice both answers equal 360,362,645

With that explanation out of the way, let's continue. Next, we take the number 360,362,645 and divide it by 2:

360,362,645 ÷ 2 = 180,181,322.5

If the quotient is a whole number, then 2 and 180,181,322.5 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:

1 360,362,645
-1 -360,362,645

Now, we try dividing 360,362,645 by 3:

360,362,645 ÷ 3 = 120,120,881.6667

If the quotient is a whole number, then 3 and 120,120,881.6667 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:

1 360,362,645
-1 -360,362,645

Let's try dividing by 4:

360,362,645 ÷ 4 = 90,090,661.25

If the quotient is a whole number, then 4 and 90,090,661.25 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:

1 360,362,645
-1 360,362,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1519958534,2654,44716,20722,23581,03584,493422,4653,793,29118,966,45572,072,529360,362,645
-1-5-19-95-853-4,265-4,447-16,207-22,235-81,035-84,493-422,465-3,793,291-18,966,455-72,072,529-360,362,645

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