Q: What are the factor combinations of the number 371,208,019?

 A:
Positive:   1 x 3712080197 x 5302971713 x 2855446391 x 4079209131 x 2833649917 x 4048071703 x 21797311921 x 31139
Negative: -1 x -371208019-7 x -53029717-13 x -28554463-91 x -4079209-131 x -2833649-917 x -404807-1703 x -217973-11921 x -31139


How do I find the factor combinations of the number 371,208,019?

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 371,208,019, 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.

1 371,208,019
-1 -371,208,019

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 371,208,019.

Example:
1 x 371,208,019 = 371,208,019
and
-1 x -371,208,019 = 371,208,019
Notice both answers equal 371,208,019

With that explanation out of the way, let's continue. Next, we take the number 371,208,019 and divide it by 2:

371,208,019 ÷ 2 = 185,604,009.5

If the quotient is a whole number, then 2 and 185,604,009.5 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:

1 371,208,019
-1 -371,208,019

Now, we try dividing 371,208,019 by 3:

371,208,019 ÷ 3 = 123,736,006.3333

If the quotient is a whole number, then 3 and 123,736,006.3333 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:

1 371,208,019
-1 -371,208,019

Let's try dividing by 4:

371,208,019 ÷ 4 = 92,802,004.75

If the quotient is a whole number, then 4 and 92,802,004.75 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:

1 371,208,019
-1 371,208,019
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911319171,70311,92131,139217,973404,8072,833,6494,079,20928,554,46353,029,717371,208,019
-1-7-13-91-131-917-1,703-11,921-31,139-217,973-404,807-2,833,649-4,079,209-28,554,463-53,029,717-371,208,019

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