Q: What are the factor combinations of the number 733,137,143?

 A:
Positive:   1 x 73313714343 x 1704970179 x 9280217107 x 68517492017 x 3634793397 x 2158194601 x 1593438453 x 86731
Negative: -1 x -733137143-43 x -17049701-79 x -9280217-107 x -6851749-2017 x -363479-3397 x -215819-4601 x -159343-8453 x -86731


How do I find the factor combinations of the number 733,137,143?

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 733,137,143, 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.

1 733,137,143
-1 -733,137,143

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 733,137,143.

Example:
1 x 733,137,143 = 733,137,143
and
-1 x -733,137,143 = 733,137,143
Notice both answers equal 733,137,143

With that explanation out of the way, let's continue. Next, we take the number 733,137,143 and divide it by 2:

733,137,143 ÷ 2 = 366,568,571.5

If the quotient is a whole number, then 2 and 366,568,571.5 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:

1 733,137,143
-1 -733,137,143

Now, we try dividing 733,137,143 by 3:

733,137,143 ÷ 3 = 244,379,047.6667

If the quotient is a whole number, then 3 and 244,379,047.6667 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:

1 733,137,143
-1 -733,137,143

Let's try dividing by 4:

733,137,143 ÷ 4 = 183,284,285.75

If the quotient is a whole number, then 4 and 183,284,285.75 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:

1 733,137,143
-1 733,137,143
Keep dividing by the next highest number until you cannot divide anymore.

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

143791072,0173,3974,6018,45386,731159,343215,819363,4796,851,7499,280,21717,049,701733,137,143
-1-43-79-107-2,017-3,397-4,601-8,453-86,731-159,343-215,819-363,479-6,851,749-9,280,217-17,049,701-733,137,143

More Examples

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