Q: What are the factor combinations of the number 356,527,715?

 A:
Positive:   1 x 3565277155 x 7130554323 x 15501205115 x 3100241823 x 4332053767 x 946454115 x 8664118835 x 18929
Negative: -1 x -356527715-5 x -71305543-23 x -15501205-115 x -3100241-823 x -433205-3767 x -94645-4115 x -86641-18835 x -18929


How do I find the factor combinations of the number 356,527,715?

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 356,527,715, 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.

1 356,527,715
-1 -356,527,715

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 356,527,715.

Example:
1 x 356,527,715 = 356,527,715
and
-1 x -356,527,715 = 356,527,715
Notice both answers equal 356,527,715

With that explanation out of the way, let's continue. Next, we take the number 356,527,715 and divide it by 2:

356,527,715 ÷ 2 = 178,263,857.5

If the quotient is a whole number, then 2 and 178,263,857.5 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:

1 356,527,715
-1 -356,527,715

Now, we try dividing 356,527,715 by 3:

356,527,715 ÷ 3 = 118,842,571.6667

If the quotient is a whole number, then 3 and 118,842,571.6667 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:

1 356,527,715
-1 -356,527,715

Let's try dividing by 4:

356,527,715 ÷ 4 = 89,131,928.75

If the quotient is a whole number, then 4 and 89,131,928.75 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:

1 356,527,715
-1 356,527,715
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158233,7674,11518,83518,92986,64194,645433,2053,100,24115,501,20571,305,543356,527,715
-1-5-23-115-823-3,767-4,115-18,835-18,929-86,641-94,645-433,205-3,100,241-15,501,205-71,305,543-356,527,715

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