Q: What are the factor combinations of the number 585,025,483?

 A:
Positive:   1 x 5850254837 x 83575069137 x 4270259313 x 1869091959 x 6100371949 x 3001672191 x 26701313643 x 42881
Negative: -1 x -585025483-7 x -83575069-137 x -4270259-313 x -1869091-959 x -610037-1949 x -300167-2191 x -267013-13643 x -42881


How do I find the factor combinations of the number 585,025,483?

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 585,025,483, 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.

1 585,025,483
-1 -585,025,483

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 585,025,483.

Example:
1 x 585,025,483 = 585,025,483
and
-1 x -585,025,483 = 585,025,483
Notice both answers equal 585,025,483

With that explanation out of the way, let's continue. Next, we take the number 585,025,483 and divide it by 2:

585,025,483 ÷ 2 = 292,512,741.5

If the quotient is a whole number, then 2 and 292,512,741.5 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:

1 585,025,483
-1 -585,025,483

Now, we try dividing 585,025,483 by 3:

585,025,483 ÷ 3 = 195,008,494.3333

If the quotient is a whole number, then 3 and 195,008,494.3333 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:

1 585,025,483
-1 -585,025,483

Let's try dividing by 4:

585,025,483 ÷ 4 = 146,256,370.75

If the quotient is a whole number, then 4 and 146,256,370.75 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:

1 585,025,483
-1 585,025,483
Keep dividing by the next highest number until you cannot divide anymore.

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

171373139591,9492,19113,64342,881267,013300,167610,0371,869,0914,270,25983,575,069585,025,483
-1-7-137-313-959-1,949-2,191-13,643-42,881-267,013-300,167-610,037-1,869,091-4,270,259-83,575,069-585,025,483

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