Q: What are the factor combinations of the number 738,804,421?

 A:
Positive:   1 x 73880442147 x 15719243137 x 5392733179 x 4127399641 x 11525816439 x 1147398413 x 8781724523 x 30127
Negative: -1 x -738804421-47 x -15719243-137 x -5392733-179 x -4127399-641 x -1152581-6439 x -114739-8413 x -87817-24523 x -30127


How do I find the factor combinations of the number 738,804,421?

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 738,804,421, 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.

1 738,804,421
-1 -738,804,421

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 738,804,421.

Example:
1 x 738,804,421 = 738,804,421
and
-1 x -738,804,421 = 738,804,421
Notice both answers equal 738,804,421

With that explanation out of the way, let's continue. Next, we take the number 738,804,421 and divide it by 2:

738,804,421 ÷ 2 = 369,402,210.5

If the quotient is a whole number, then 2 and 369,402,210.5 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:

1 738,804,421
-1 -738,804,421

Now, we try dividing 738,804,421 by 3:

738,804,421 ÷ 3 = 246,268,140.3333

If the quotient is a whole number, then 3 and 246,268,140.3333 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:

1 738,804,421
-1 -738,804,421

Let's try dividing by 4:

738,804,421 ÷ 4 = 184,701,105.25

If the quotient is a whole number, then 4 and 184,701,105.25 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:

1 738,804,421
-1 738,804,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1471371796416,4398,41324,52330,12787,817114,7391,152,5814,127,3995,392,73315,719,243738,804,421
-1-47-137-179-641-6,439-8,413-24,523-30,127-87,817-114,739-1,152,581-4,127,399-5,392,733-15,719,243-738,804,421

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