Q: What are the factor combinations of the number 737,330,405?

 A:
Positive:   1 x 7373304055 x 1474660817 x 10533291535 x 210665834451 x 1656554733 x 15578522255 x 3313123665 x 31157
Negative: -1 x -737330405-5 x -147466081-7 x -105332915-35 x -21066583-4451 x -165655-4733 x -155785-22255 x -33131-23665 x -31157


How do I find the factor combinations of the number 737,330,405?

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 737,330,405, 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.

1 737,330,405
-1 -737,330,405

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 737,330,405.

Example:
1 x 737,330,405 = 737,330,405
and
-1 x -737,330,405 = 737,330,405
Notice both answers equal 737,330,405

With that explanation out of the way, let's continue. Next, we take the number 737,330,405 and divide it by 2:

737,330,405 ÷ 2 = 368,665,202.5

If the quotient is a whole number, then 2 and 368,665,202.5 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:

1 737,330,405
-1 -737,330,405

Now, we try dividing 737,330,405 by 3:

737,330,405 ÷ 3 = 245,776,801.6667

If the quotient is a whole number, then 3 and 245,776,801.6667 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:

1 737,330,405
-1 -737,330,405

Let's try dividing by 4:

737,330,405 ÷ 4 = 184,332,601.25

If the quotient is a whole number, then 4 and 184,332,601.25 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:

1 737,330,405
-1 737,330,405
Keep dividing by the next highest number until you cannot divide anymore.

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

157354,4514,73322,25523,66531,15733,131155,785165,65521,066,583105,332,915147,466,081737,330,405
-1-5-7-35-4,451-4,733-22,255-23,665-31,157-33,131-155,785-165,655-21,066,583-105,332,915-147,466,081-737,330,405

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