Q: What are the factor combinations of the number 380,213,267?

 A:
Positive:   1 x 3802132677 x 5431618143 x 8842169301 x 1263167607 x 6263812081 x 1827074249 x 8948314567 x 26101
Negative: -1 x -380213267-7 x -54316181-43 x -8842169-301 x -1263167-607 x -626381-2081 x -182707-4249 x -89483-14567 x -26101


How do I find the factor combinations of the number 380,213,267?

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 380,213,267, 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.

1 380,213,267
-1 -380,213,267

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 380,213,267.

Example:
1 x 380,213,267 = 380,213,267
and
-1 x -380,213,267 = 380,213,267
Notice both answers equal 380,213,267

With that explanation out of the way, let's continue. Next, we take the number 380,213,267 and divide it by 2:

380,213,267 ÷ 2 = 190,106,633.5

If the quotient is a whole number, then 2 and 190,106,633.5 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:

1 380,213,267
-1 -380,213,267

Now, we try dividing 380,213,267 by 3:

380,213,267 ÷ 3 = 126,737,755.6667

If the quotient is a whole number, then 3 and 126,737,755.6667 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:

1 380,213,267
-1 -380,213,267

Let's try dividing by 4:

380,213,267 ÷ 4 = 95,053,316.75

If the quotient is a whole number, then 4 and 95,053,316.75 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:

1 380,213,267
-1 380,213,267
Keep dividing by the next highest number until you cannot divide anymore.

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

17433016072,0814,24914,56726,10189,483182,707626,3811,263,1678,842,16954,316,181380,213,267
-1-7-43-301-607-2,081-4,249-14,567-26,101-89,483-182,707-626,381-1,263,167-8,842,169-54,316,181-380,213,267

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