Q: What are the factor combinations of the number 378,580,633?

 A:
Positive:   1 x 37858063317 x 2226944937 x 10231909223 x 1697671629 x 6018772699 x 1402673791 x 998638251 x 45883
Negative: -1 x -378580633-17 x -22269449-37 x -10231909-223 x -1697671-629 x -601877-2699 x -140267-3791 x -99863-8251 x -45883


How do I find the factor combinations of the number 378,580,633?

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 378,580,633, 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.

1 378,580,633
-1 -378,580,633

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 378,580,633.

Example:
1 x 378,580,633 = 378,580,633
and
-1 x -378,580,633 = 378,580,633
Notice both answers equal 378,580,633

With that explanation out of the way, let's continue. Next, we take the number 378,580,633 and divide it by 2:

378,580,633 ÷ 2 = 189,290,316.5

If the quotient is a whole number, then 2 and 189,290,316.5 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:

1 378,580,633
-1 -378,580,633

Now, we try dividing 378,580,633 by 3:

378,580,633 ÷ 3 = 126,193,544.3333

If the quotient is a whole number, then 3 and 126,193,544.3333 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:

1 378,580,633
-1 -378,580,633

Let's try dividing by 4:

378,580,633 ÷ 4 = 94,645,158.25

If the quotient is a whole number, then 4 and 94,645,158.25 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:

1 378,580,633
-1 378,580,633
Keep dividing by the next highest number until you cannot divide anymore.

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

117372236292,6993,7918,25145,88399,863140,267601,8771,697,67110,231,90922,269,449378,580,633
-1-17-37-223-629-2,699-3,791-8,251-45,883-99,863-140,267-601,877-1,697,671-10,231,909-22,269,449-378,580,633

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 378,580,633:


Ask a Question