Q: What are the factor combinations of the number 356,773,463?

 A:
Positive:   1 x 356773463223 x 1599881617 x 5782392593 x 137591
Negative: -1 x -356773463-223 x -1599881-617 x -578239-2593 x -137591


How do I find the factor combinations of the number 356,773,463?

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 356,773,463, 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.

1 356,773,463
-1 -356,773,463

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 356,773,463.

Example:
1 x 356,773,463 = 356,773,463
and
-1 x -356,773,463 = 356,773,463
Notice both answers equal 356,773,463

With that explanation out of the way, let's continue. Next, we take the number 356,773,463 and divide it by 2:

356,773,463 ÷ 2 = 178,386,731.5

If the quotient is a whole number, then 2 and 178,386,731.5 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:

1 356,773,463
-1 -356,773,463

Now, we try dividing 356,773,463 by 3:

356,773,463 ÷ 3 = 118,924,487.6667

If the quotient is a whole number, then 3 and 118,924,487.6667 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:

1 356,773,463
-1 -356,773,463

Let's try dividing by 4:

356,773,463 ÷ 4 = 89,193,365.75

If the quotient is a whole number, then 4 and 89,193,365.75 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:

1 356,773,463
-1 356,773,463
Keep dividing by the next highest number until you cannot divide anymore.

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

12236172,593137,591578,2391,599,881356,773,463
-1-223-617-2,593-137,591-578,239-1,599,881-356,773,463

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 356,773,463:


Ask a Question