Q: What are the factor combinations of the number 380,014,187?

 A:
Positive:   1 x 3800141877 x 5428774153 x 7170079367 x 1035461371 x 10242972569 x 1479232791 x 13615719451 x 19537
Negative: -1 x -380014187-7 x -54287741-53 x -7170079-367 x -1035461-371 x -1024297-2569 x -147923-2791 x -136157-19451 x -19537


How do I find the factor combinations of the number 380,014,187?

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 380,014,187, 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.

1 380,014,187
-1 -380,014,187

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 380,014,187.

Example:
1 x 380,014,187 = 380,014,187
and
-1 x -380,014,187 = 380,014,187
Notice both answers equal 380,014,187

With that explanation out of the way, let's continue. Next, we take the number 380,014,187 and divide it by 2:

380,014,187 ÷ 2 = 190,007,093.5

If the quotient is a whole number, then 2 and 190,007,093.5 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:

1 380,014,187
-1 -380,014,187

Now, we try dividing 380,014,187 by 3:

380,014,187 ÷ 3 = 126,671,395.6667

If the quotient is a whole number, then 3 and 126,671,395.6667 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:

1 380,014,187
-1 -380,014,187

Let's try dividing by 4:

380,014,187 ÷ 4 = 95,003,546.75

If the quotient is a whole number, then 4 and 95,003,546.75 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:

1 380,014,187
-1 380,014,187
Keep dividing by the next highest number until you cannot divide anymore.

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

17533673712,5692,79119,45119,537136,157147,9231,024,2971,035,4617,170,07954,287,741380,014,187
-1-7-53-367-371-2,569-2,791-19,451-19,537-136,157-147,923-1,024,297-1,035,461-7,170,079-54,287,741-380,014,187

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