Q: What are the factor combinations of the number 545,334,655?

 A:
Positive:   1 x 5453346555 x 10906693147 x 11602865235 x 2320573271 x 20123051355 x 4024618563 x 6368512737 x 42815
Negative: -1 x -545334655-5 x -109066931-47 x -11602865-235 x -2320573-271 x -2012305-1355 x -402461-8563 x -63685-12737 x -42815


How do I find the factor combinations of the number 545,334,655?

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 545,334,655, 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.

1 545,334,655
-1 -545,334,655

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 545,334,655.

Example:
1 x 545,334,655 = 545,334,655
and
-1 x -545,334,655 = 545,334,655
Notice both answers equal 545,334,655

With that explanation out of the way, let's continue. Next, we take the number 545,334,655 and divide it by 2:

545,334,655 ÷ 2 = 272,667,327.5

If the quotient is a whole number, then 2 and 272,667,327.5 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:

1 545,334,655
-1 -545,334,655

Now, we try dividing 545,334,655 by 3:

545,334,655 ÷ 3 = 181,778,218.3333

If the quotient is a whole number, then 3 and 181,778,218.3333 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:

1 545,334,655
-1 -545,334,655

Let's try dividing by 4:

545,334,655 ÷ 4 = 136,333,663.75

If the quotient is a whole number, then 4 and 136,333,663.75 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:

1 545,334,655
-1 545,334,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352711,3558,56312,73742,81563,685402,4612,012,3052,320,57311,602,865109,066,931545,334,655
-1-5-47-235-271-1,355-8,563-12,737-42,815-63,685-402,461-2,012,305-2,320,573-11,602,865-109,066,931-545,334,655

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 545,334,655:


Ask a Question