Q: What are the factor combinations of the number 376,743,503?

 A:
Positive:   1 x 37674350361 x 6176123499 x 75499712377 x 30439
Negative: -1 x -376743503-61 x -6176123-499 x -754997-12377 x -30439


How do I find the factor combinations of the number 376,743,503?

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 376,743,503, 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.

1 376,743,503
-1 -376,743,503

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 376,743,503.

Example:
1 x 376,743,503 = 376,743,503
and
-1 x -376,743,503 = 376,743,503
Notice both answers equal 376,743,503

With that explanation out of the way, let's continue. Next, we take the number 376,743,503 and divide it by 2:

376,743,503 ÷ 2 = 188,371,751.5

If the quotient is a whole number, then 2 and 188,371,751.5 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:

1 376,743,503
-1 -376,743,503

Now, we try dividing 376,743,503 by 3:

376,743,503 ÷ 3 = 125,581,167.6667

If the quotient is a whole number, then 3 and 125,581,167.6667 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:

1 376,743,503
-1 -376,743,503

Let's try dividing by 4:

376,743,503 ÷ 4 = 94,185,875.75

If the quotient is a whole number, then 4 and 94,185,875.75 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:

1 376,743,503
-1 376,743,503
Keep dividing by the next highest number until you cannot divide anymore.

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

16149912,37730,439754,9976,176,123376,743,503
-1-61-499-12,377-30,439-754,997-6,176,123-376,743,503

More Examples

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