Q: What are the factor combinations of the number 362,066,717?

 A:
Positive:   1 x 36206671719 x 1905614379 x 4583123109 x 33217131501 x 2412172071 x 1748272213 x 1636098611 x 42047
Negative: -1 x -362066717-19 x -19056143-79 x -4583123-109 x -3321713-1501 x -241217-2071 x -174827-2213 x -163609-8611 x -42047


How do I find the factor combinations of the number 362,066,717?

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 362,066,717, 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.

1 362,066,717
-1 -362,066,717

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 362,066,717.

Example:
1 x 362,066,717 = 362,066,717
and
-1 x -362,066,717 = 362,066,717
Notice both answers equal 362,066,717

With that explanation out of the way, let's continue. Next, we take the number 362,066,717 and divide it by 2:

362,066,717 ÷ 2 = 181,033,358.5

If the quotient is a whole number, then 2 and 181,033,358.5 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:

1 362,066,717
-1 -362,066,717

Now, we try dividing 362,066,717 by 3:

362,066,717 ÷ 3 = 120,688,905.6667

If the quotient is a whole number, then 3 and 120,688,905.6667 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:

1 362,066,717
-1 -362,066,717

Let's try dividing by 4:

362,066,717 ÷ 4 = 90,516,679.25

If the quotient is a whole number, then 4 and 90,516,679.25 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:

1 362,066,717
-1 362,066,717
Keep dividing by the next highest number until you cannot divide anymore.

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

119791091,5012,0712,2138,61142,047163,609174,827241,2173,321,7134,583,12319,056,143362,066,717
-1-19-79-109-1,501-2,071-2,213-8,611-42,047-163,609-174,827-241,217-3,321,713-4,583,123-19,056,143-362,066,717

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