Q: What are the factor combinations of the number 592,025?

 A:
Positive:   1 x 5920255 x 1184057 x 8457517 x 3482525 x 2368135 x 1691585 x 6965119 x 4975175 x 3383199 x 2975425 x 1393595 x 995
Negative: -1 x -592025-5 x -118405-7 x -84575-17 x -34825-25 x -23681-35 x -16915-85 x -6965-119 x -4975-175 x -3383-199 x -2975-425 x -1393-595 x -995


How do I find the factor combinations of the number 592,025?

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 592,025, 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.

1 592,025
-1 -592,025

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 592,025.

Example:
1 x 592,025 = 592,025
and
-1 x -592,025 = 592,025
Notice both answers equal 592,025

With that explanation out of the way, let's continue. Next, we take the number 592,025 and divide it by 2:

592,025 ÷ 2 = 296,012.5

If the quotient is a whole number, then 2 and 296,012.5 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:

1 592,025
-1 -592,025

Now, we try dividing 592,025 by 3:

592,025 ÷ 3 = 197,341.6667

If the quotient is a whole number, then 3 and 197,341.6667 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:

1 592,025
-1 -592,025

Let's try dividing by 4:

592,025 ÷ 4 = 148,006.25

If the quotient is a whole number, then 4 and 148,006.25 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:

1 592,025
-1 592,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191751994255959951,3932,9753,3834,9756,96516,91523,68134,82584,575118,405592,025
-1-5-7-17-25-35-85-119-175-199-425-595-995-1,393-2,975-3,383-4,975-6,965-16,915-23,681-34,825-84,575-118,405-592,025

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