Q: What are the factor combinations of the number 371,582,039?

 A:
Positive:   1 x 37158203917 x 21857767289 x 1285751463 x 8025532777 x 1338077871 x 47209
Negative: -1 x -371582039-17 x -21857767-289 x -1285751-463 x -802553-2777 x -133807-7871 x -47209


How do I find the factor combinations of the number 371,582,039?

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 371,582,039, 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.

1 371,582,039
-1 -371,582,039

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 371,582,039.

Example:
1 x 371,582,039 = 371,582,039
and
-1 x -371,582,039 = 371,582,039
Notice both answers equal 371,582,039

With that explanation out of the way, let's continue. Next, we take the number 371,582,039 and divide it by 2:

371,582,039 ÷ 2 = 185,791,019.5

If the quotient is a whole number, then 2 and 185,791,019.5 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:

1 371,582,039
-1 -371,582,039

Now, we try dividing 371,582,039 by 3:

371,582,039 ÷ 3 = 123,860,679.6667

If the quotient is a whole number, then 3 and 123,860,679.6667 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:

1 371,582,039
-1 -371,582,039

Let's try dividing by 4:

371,582,039 ÷ 4 = 92,895,509.75

If the quotient is a whole number, then 4 and 92,895,509.75 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:

1 371,582,039
-1 371,582,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1172894632,7777,87147,209133,807802,5531,285,75121,857,767371,582,039
-1-17-289-463-2,777-7,871-47,209-133,807-802,553-1,285,751-21,857,767-371,582,039

More Examples

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