Q: What are the factor combinations of the number 604,022,155?

 A:
Positive:   1 x 6040221555 x 12080443111 x 5491110517 x 3553071555 x 1098222185 x 7106143187 x 3230065935 x 646013
Negative: -1 x -604022155-5 x -120804431-11 x -54911105-17 x -35530715-55 x -10982221-85 x -7106143-187 x -3230065-935 x -646013


How do I find the factor combinations of the number 604,022,155?

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 604,022,155, 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.

1 604,022,155
-1 -604,022,155

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 604,022,155.

Example:
1 x 604,022,155 = 604,022,155
and
-1 x -604,022,155 = 604,022,155
Notice both answers equal 604,022,155

With that explanation out of the way, let's continue. Next, we take the number 604,022,155 and divide it by 2:

604,022,155 ÷ 2 = 302,011,077.5

If the quotient is a whole number, then 2 and 302,011,077.5 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:

1 604,022,155
-1 -604,022,155

Now, we try dividing 604,022,155 by 3:

604,022,155 ÷ 3 = 201,340,718.3333

If the quotient is a whole number, then 3 and 201,340,718.3333 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:

1 604,022,155
-1 -604,022,155

Let's try dividing by 4:

604,022,155 ÷ 4 = 151,005,538.75

If the quotient is a whole number, then 4 and 151,005,538.75 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:

1 604,022,155
-1 604,022,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935646,0133,230,0657,106,14310,982,22135,530,71554,911,105120,804,431604,022,155
-1-5-11-17-55-85-187-935-646,013-3,230,065-7,106,143-10,982,221-35,530,715-54,911,105-120,804,431-604,022,155

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