Q: What are the factor combinations of the number 364,045,015?

 A:
Positive:   1 x 3640450155 x 72809003163 x 2233405421 x 864715815 x 4466811061 x 3431152105 x 1729435305 x 68623
Negative: -1 x -364045015-5 x -72809003-163 x -2233405-421 x -864715-815 x -446681-1061 x -343115-2105 x -172943-5305 x -68623


How do I find the factor combinations of the number 364,045,015?

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 364,045,015, 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.

1 364,045,015
-1 -364,045,015

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 364,045,015.

Example:
1 x 364,045,015 = 364,045,015
and
-1 x -364,045,015 = 364,045,015
Notice both answers equal 364,045,015

With that explanation out of the way, let's continue. Next, we take the number 364,045,015 and divide it by 2:

364,045,015 ÷ 2 = 182,022,507.5

If the quotient is a whole number, then 2 and 182,022,507.5 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:

1 364,045,015
-1 -364,045,015

Now, we try dividing 364,045,015 by 3:

364,045,015 ÷ 3 = 121,348,338.3333

If the quotient is a whole number, then 3 and 121,348,338.3333 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:

1 364,045,015
-1 -364,045,015

Let's try dividing by 4:

364,045,015 ÷ 4 = 91,011,253.75

If the quotient is a whole number, then 4 and 91,011,253.75 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:

1 364,045,015
-1 364,045,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151634218151,0612,1055,30568,623172,943343,115446,681864,7152,233,40572,809,003364,045,015
-1-5-163-421-815-1,061-2,105-5,305-68,623-172,943-343,115-446,681-864,715-2,233,405-72,809,003-364,045,015

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