Q: What are the factor combinations of the number 362,354,555?

 A:
Positive:   1 x 3623545555 x 72470911173 x 2094535509 x 711895823 x 440285865 x 4189072545 x 1423794115 x 88057
Negative: -1 x -362354555-5 x -72470911-173 x -2094535-509 x -711895-823 x -440285-865 x -418907-2545 x -142379-4115 x -88057


How do I find the factor combinations of the number 362,354,555?

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 362,354,555, 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.

1 362,354,555
-1 -362,354,555

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 362,354,555.

Example:
1 x 362,354,555 = 362,354,555
and
-1 x -362,354,555 = 362,354,555
Notice both answers equal 362,354,555

With that explanation out of the way, let's continue. Next, we take the number 362,354,555 and divide it by 2:

362,354,555 ÷ 2 = 181,177,277.5

If the quotient is a whole number, then 2 and 181,177,277.5 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:

1 362,354,555
-1 -362,354,555

Now, we try dividing 362,354,555 by 3:

362,354,555 ÷ 3 = 120,784,851.6667

If the quotient is a whole number, then 3 and 120,784,851.6667 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:

1 362,354,555
-1 -362,354,555

Let's try dividing by 4:

362,354,555 ÷ 4 = 90,588,638.75

If the quotient is a whole number, then 4 and 90,588,638.75 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:

1 362,354,555
-1 362,354,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151735098238652,5454,11588,057142,379418,907440,285711,8952,094,53572,470,911362,354,555
-1-5-173-509-823-865-2,545-4,115-88,057-142,379-418,907-440,285-711,895-2,094,535-72,470,911-362,354,555

More Examples

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