Q: What are the factor combinations of the number 503,432,425?

 A:
Positive:   1 x 5034324255 x 10068648525 x 2013729753 x 949872597 x 5190025265 x 1899745485 x 10380051325 x 3799492425 x 2076013917 x 1285255141 x 9792519585 x 25705
Negative: -1 x -503432425-5 x -100686485-25 x -20137297-53 x -9498725-97 x -5190025-265 x -1899745-485 x -1038005-1325 x -379949-2425 x -207601-3917 x -128525-5141 x -97925-19585 x -25705


How do I find the factor combinations of the number 503,432,425?

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 503,432,425, 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.

1 503,432,425
-1 -503,432,425

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 503,432,425.

Example:
1 x 503,432,425 = 503,432,425
and
-1 x -503,432,425 = 503,432,425
Notice both answers equal 503,432,425

With that explanation out of the way, let's continue. Next, we take the number 503,432,425 and divide it by 2:

503,432,425 ÷ 2 = 251,716,212.5

If the quotient is a whole number, then 2 and 251,716,212.5 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:

1 503,432,425
-1 -503,432,425

Now, we try dividing 503,432,425 by 3:

503,432,425 ÷ 3 = 167,810,808.3333

If the quotient is a whole number, then 3 and 167,810,808.3333 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:

1 503,432,425
-1 -503,432,425

Let's try dividing by 4:

503,432,425 ÷ 4 = 125,858,106.25

If the quotient is a whole number, then 4 and 125,858,106.25 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:

1 503,432,425
-1 503,432,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152553972654851,3252,4253,9175,14119,58525,70597,925128,525207,601379,9491,038,0051,899,7455,190,0259,498,72520,137,297100,686,485503,432,425
-1-5-25-53-97-265-485-1,325-2,425-3,917-5,141-19,585-25,705-97,925-128,525-207,601-379,949-1,038,005-1,899,745-5,190,025-9,498,725-20,137,297-100,686,485-503,432,425

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