Q: What are the factor combinations of the number 362,721,545?

 A:
Positive:   1 x 3627215455 x 7254430931 x 1170069537 x 9803285155 x 2340139185 x 19606571147 x 3162355735 x 63247
Negative: -1 x -362721545-5 x -72544309-31 x -11700695-37 x -9803285-155 x -2340139-185 x -1960657-1147 x -316235-5735 x -63247


How do I find the factor combinations of the number 362,721,545?

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 362,721,545, 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.

1 362,721,545
-1 -362,721,545

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 362,721,545.

Example:
1 x 362,721,545 = 362,721,545
and
-1 x -362,721,545 = 362,721,545
Notice both answers equal 362,721,545

With that explanation out of the way, let's continue. Next, we take the number 362,721,545 and divide it by 2:

362,721,545 ÷ 2 = 181,360,772.5

If the quotient is a whole number, then 2 and 181,360,772.5 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:

1 362,721,545
-1 -362,721,545

Now, we try dividing 362,721,545 by 3:

362,721,545 ÷ 3 = 120,907,181.6667

If the quotient is a whole number, then 3 and 120,907,181.6667 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:

1 362,721,545
-1 -362,721,545

Let's try dividing by 4:

362,721,545 ÷ 4 = 90,680,386.25

If the quotient is a whole number, then 4 and 90,680,386.25 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:

1 362,721,545
-1 362,721,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1531371551851,1475,73563,247316,2351,960,6572,340,1399,803,28511,700,69572,544,309362,721,545
-1-5-31-37-155-185-1,147-5,735-63,247-316,235-1,960,657-2,340,139-9,803,285-11,700,695-72,544,309-362,721,545

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