Q: What are the factor combinations of the number 371,771,413?

 A:
Positive:   1 x 37177141313 x 28597801541 x 6871937033 x 52861
Negative: -1 x -371771413-13 x -28597801-541 x -687193-7033 x -52861


How do I find the factor combinations of the number 371,771,413?

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 371,771,413, 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.

1 371,771,413
-1 -371,771,413

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 371,771,413.

Example:
1 x 371,771,413 = 371,771,413
and
-1 x -371,771,413 = 371,771,413
Notice both answers equal 371,771,413

With that explanation out of the way, let's continue. Next, we take the number 371,771,413 and divide it by 2:

371,771,413 ÷ 2 = 185,885,706.5

If the quotient is a whole number, then 2 and 185,885,706.5 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:

1 371,771,413
-1 -371,771,413

Now, we try dividing 371,771,413 by 3:

371,771,413 ÷ 3 = 123,923,804.3333

If the quotient is a whole number, then 3 and 123,923,804.3333 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:

1 371,771,413
-1 -371,771,413

Let's try dividing by 4:

371,771,413 ÷ 4 = 92,942,853.25

If the quotient is a whole number, then 4 and 92,942,853.25 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:

1 371,771,413
-1 371,771,413
Keep dividing by the next highest number until you cannot divide anymore.

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

1135417,03352,861687,19328,597,801371,771,413
-1-13-541-7,033-52,861-687,193-28,597,801-371,771,413

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 371,771,413:


Ask a Question