Q: What are the factor combinations of the number 564,356,155?

 A:
Positive:   1 x 5643561555 x 11287123111 x 5130510555 x 10261021457 x 12349152285 x 2469835027 x 11226522453 x 25135
Negative: -1 x -564356155-5 x -112871231-11 x -51305105-55 x -10261021-457 x -1234915-2285 x -246983-5027 x -112265-22453 x -25135


How do I find the factor combinations of the number 564,356,155?

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 564,356,155, 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.

1 564,356,155
-1 -564,356,155

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 564,356,155.

Example:
1 x 564,356,155 = 564,356,155
and
-1 x -564,356,155 = 564,356,155
Notice both answers equal 564,356,155

With that explanation out of the way, let's continue. Next, we take the number 564,356,155 and divide it by 2:

564,356,155 ÷ 2 = 282,178,077.5

If the quotient is a whole number, then 2 and 282,178,077.5 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:

1 564,356,155
-1 -564,356,155

Now, we try dividing 564,356,155 by 3:

564,356,155 ÷ 3 = 188,118,718.3333

If the quotient is a whole number, then 3 and 188,118,718.3333 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:

1 564,356,155
-1 -564,356,155

Let's try dividing by 4:

564,356,155 ÷ 4 = 141,089,038.75

If the quotient is a whole number, then 4 and 141,089,038.75 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:

1 564,356,155
-1 564,356,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554572,2855,02722,45325,135112,265246,9831,234,91510,261,02151,305,105112,871,231564,356,155
-1-5-11-55-457-2,285-5,027-22,453-25,135-112,265-246,983-1,234,915-10,261,021-51,305,105-112,871,231-564,356,155

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