Q: What are the factor combinations of the number 590,425?

 A:
Positive:   1 x 5904255 x 11808511 x 5367519 x 3107525 x 2361755 x 1073595 x 6215113 x 5225209 x 2825275 x 2147475 x 1243565 x 1045
Negative: -1 x -590425-5 x -118085-11 x -53675-19 x -31075-25 x -23617-55 x -10735-95 x -6215-113 x -5225-209 x -2825-275 x -2147-475 x -1243-565 x -1045


How do I find the factor combinations of the number 590,425?

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 590,425, 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.

1 590,425
-1 -590,425

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 590,425.

Example:
1 x 590,425 = 590,425
and
-1 x -590,425 = 590,425
Notice both answers equal 590,425

With that explanation out of the way, let's continue. Next, we take the number 590,425 and divide it by 2:

590,425 ÷ 2 = 295,212.5

If the quotient is a whole number, then 2 and 295,212.5 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:

1 590,425
-1 -590,425

Now, we try dividing 590,425 by 3:

590,425 ÷ 3 = 196,808.3333

If the quotient is a whole number, then 3 and 196,808.3333 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:

1 590,425
-1 -590,425

Let's try dividing by 4:

590,425 ÷ 4 = 147,606.25

If the quotient is a whole number, then 4 and 147,606.25 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:

1 590,425
-1 590,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555951132092754755651,0451,2432,1472,8255,2256,21510,73523,61731,07553,675118,085590,425
-1-5-11-19-25-55-95-113-209-275-475-565-1,045-1,243-2,147-2,825-5,225-6,215-10,735-23,617-31,075-53,675-118,085-590,425

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