Q: What are the factor combinations of the number 636,025?

 A:
Positive:   1 x 6360255 x 12720513 x 4892519 x 3347525 x 2544165 x 978595 x 6695103 x 6175247 x 2575325 x 1957475 x 1339515 x 1235
Negative: -1 x -636025-5 x -127205-13 x -48925-19 x -33475-25 x -25441-65 x -9785-95 x -6695-103 x -6175-247 x -2575-325 x -1957-475 x -1339-515 x -1235


How do I find the factor combinations of the number 636,025?

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 636,025, 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.

1 636,025
-1 -636,025

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 636,025.

Example:
1 x 636,025 = 636,025
and
-1 x -636,025 = 636,025
Notice both answers equal 636,025

With that explanation out of the way, let's continue. Next, we take the number 636,025 and divide it by 2:

636,025 ÷ 2 = 318,012.5

If the quotient is a whole number, then 2 and 318,012.5 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:

1 636,025
-1 -636,025

Now, we try dividing 636,025 by 3:

636,025 ÷ 3 = 212,008.3333

If the quotient is a whole number, then 3 and 212,008.3333 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:

1 636,025
-1 -636,025

Let's try dividing by 4:

636,025 ÷ 4 = 159,006.25

If the quotient is a whole number, then 4 and 159,006.25 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:

1 636,025
-1 636,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565951032473254755151,2351,3391,9572,5756,1756,6959,78525,44133,47548,925127,205636,025
-1-5-13-19-25-65-95-103-247-325-475-515-1,235-1,339-1,957-2,575-6,175-6,695-9,785-25,441-33,475-48,925-127,205-636,025

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