Q: What are the factor combinations of the number 364,030,355?

 A:
Positive:   1 x 3640303555 x 7280607113 x 2800233565 x 56004671373 x 2651354079 x 892456865 x 5302717849 x 20395
Negative: -1 x -364030355-5 x -72806071-13 x -28002335-65 x -5600467-1373 x -265135-4079 x -89245-6865 x -53027-17849 x -20395


How do I find the factor combinations of the number 364,030,355?

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 364,030,355, 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.

1 364,030,355
-1 -364,030,355

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 364,030,355.

Example:
1 x 364,030,355 = 364,030,355
and
-1 x -364,030,355 = 364,030,355
Notice both answers equal 364,030,355

With that explanation out of the way, let's continue. Next, we take the number 364,030,355 and divide it by 2:

364,030,355 ÷ 2 = 182,015,177.5

If the quotient is a whole number, then 2 and 182,015,177.5 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:

1 364,030,355
-1 -364,030,355

Now, we try dividing 364,030,355 by 3:

364,030,355 ÷ 3 = 121,343,451.6667

If the quotient is a whole number, then 3 and 121,343,451.6667 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:

1 364,030,355
-1 -364,030,355

Let's try dividing by 4:

364,030,355 ÷ 4 = 91,007,588.75

If the quotient is a whole number, then 4 and 91,007,588.75 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:

1 364,030,355
-1 364,030,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,3734,0796,86517,84920,39553,02789,245265,1355,600,46728,002,33572,806,071364,030,355
-1-5-13-65-1,373-4,079-6,865-17,849-20,395-53,027-89,245-265,135-5,600,467-28,002,335-72,806,071-364,030,355

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