Q: What are the factor combinations of the number 616,504,655?

 A:
Positive:   1 x 6165046555 x 12330093113 x 4742343565 x 94846871993 x 3093354759 x 1295459965 x 6186723795 x 25909
Negative: -1 x -616504655-5 x -123300931-13 x -47423435-65 x -9484687-1993 x -309335-4759 x -129545-9965 x -61867-23795 x -25909


How do I find the factor combinations of the number 616,504,655?

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 616,504,655, 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.

1 616,504,655
-1 -616,504,655

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 616,504,655.

Example:
1 x 616,504,655 = 616,504,655
and
-1 x -616,504,655 = 616,504,655
Notice both answers equal 616,504,655

With that explanation out of the way, let's continue. Next, we take the number 616,504,655 and divide it by 2:

616,504,655 ÷ 2 = 308,252,327.5

If the quotient is a whole number, then 2 and 308,252,327.5 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:

1 616,504,655
-1 -616,504,655

Now, we try dividing 616,504,655 by 3:

616,504,655 ÷ 3 = 205,501,551.6667

If the quotient is a whole number, then 3 and 205,501,551.6667 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:

1 616,504,655
-1 -616,504,655

Let's try dividing by 4:

616,504,655 ÷ 4 = 154,126,163.75

If the quotient is a whole number, then 4 and 154,126,163.75 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:

1 616,504,655
-1 616,504,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,9934,7599,96523,79525,90961,867129,545309,3359,484,68747,423,435123,300,931616,504,655
-1-5-13-65-1,993-4,759-9,965-23,795-25,909-61,867-129,545-309,335-9,484,687-47,423,435-123,300,931-616,504,655

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 616,504,655:


Ask a Question