Q: What are the factor combinations of the number 363,349,355?

 A:
Positive:   1 x 3633493555 x 7266987143 x 8449985181 x 2007455215 x 1689997905 x 4014917783 x 466859337 x 38915
Negative: -1 x -363349355-5 x -72669871-43 x -8449985-181 x -2007455-215 x -1689997-905 x -401491-7783 x -46685-9337 x -38915


How do I find the factor combinations of the number 363,349,355?

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 363,349,355, 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.

1 363,349,355
-1 -363,349,355

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 363,349,355.

Example:
1 x 363,349,355 = 363,349,355
and
-1 x -363,349,355 = 363,349,355
Notice both answers equal 363,349,355

With that explanation out of the way, let's continue. Next, we take the number 363,349,355 and divide it by 2:

363,349,355 ÷ 2 = 181,674,677.5

If the quotient is a whole number, then 2 and 181,674,677.5 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:

1 363,349,355
-1 -363,349,355

Now, we try dividing 363,349,355 by 3:

363,349,355 ÷ 3 = 121,116,451.6667

If the quotient is a whole number, then 3 and 121,116,451.6667 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:

1 363,349,355
-1 -363,349,355

Let's try dividing by 4:

363,349,355 ÷ 4 = 90,837,338.75

If the quotient is a whole number, then 4 and 90,837,338.75 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:

1 363,349,355
-1 363,349,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15431812159057,7839,33738,91546,685401,4911,689,9972,007,4558,449,98572,669,871363,349,355
-1-5-43-181-215-905-7,783-9,337-38,915-46,685-401,491-1,689,997-2,007,455-8,449,985-72,669,871-363,349,355

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