Q: What are the factor combinations of the number 380,011,127?

 A:
Positive:   1 x 38001112737 x 10270571139 x 27338931369 x 2775831997 x 1902915143 x 73889
Negative: -1 x -380011127-37 x -10270571-139 x -2733893-1369 x -277583-1997 x -190291-5143 x -73889


How do I find the factor combinations of the number 380,011,127?

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 380,011,127, 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.

1 380,011,127
-1 -380,011,127

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 380,011,127.

Example:
1 x 380,011,127 = 380,011,127
and
-1 x -380,011,127 = 380,011,127
Notice both answers equal 380,011,127

With that explanation out of the way, let's continue. Next, we take the number 380,011,127 and divide it by 2:

380,011,127 ÷ 2 = 190,005,563.5

If the quotient is a whole number, then 2 and 190,005,563.5 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:

1 380,011,127
-1 -380,011,127

Now, we try dividing 380,011,127 by 3:

380,011,127 ÷ 3 = 126,670,375.6667

If the quotient is a whole number, then 3 and 126,670,375.6667 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:

1 380,011,127
-1 -380,011,127

Let's try dividing by 4:

380,011,127 ÷ 4 = 95,002,781.75

If the quotient is a whole number, then 4 and 95,002,781.75 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:

1 380,011,127
-1 380,011,127
Keep dividing by the next highest number until you cannot divide anymore.

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

1371391,3691,9975,14373,889190,291277,5832,733,89310,270,571380,011,127
-1-37-139-1,369-1,997-5,143-73,889-190,291-277,583-2,733,893-10,270,571-380,011,127

More Examples

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