Q: What are the factor combinations of the number 503,400,149?

 A:
Positive:   1 x 5034001497 x 7191430723 x 21886963161 x 3126709739 x 6811914231 x 1189795173 x 9731316997 x 29617
Negative: -1 x -503400149-7 x -71914307-23 x -21886963-161 x -3126709-739 x -681191-4231 x -118979-5173 x -97313-16997 x -29617


How do I find the factor combinations of the number 503,400,149?

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 503,400,149, 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.

1 503,400,149
-1 -503,400,149

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 503,400,149.

Example:
1 x 503,400,149 = 503,400,149
and
-1 x -503,400,149 = 503,400,149
Notice both answers equal 503,400,149

With that explanation out of the way, let's continue. Next, we take the number 503,400,149 and divide it by 2:

503,400,149 ÷ 2 = 251,700,074.5

If the quotient is a whole number, then 2 and 251,700,074.5 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:

1 503,400,149
-1 -503,400,149

Now, we try dividing 503,400,149 by 3:

503,400,149 ÷ 3 = 167,800,049.6667

If the quotient is a whole number, then 3 and 167,800,049.6667 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:

1 503,400,149
-1 -503,400,149

Let's try dividing by 4:

503,400,149 ÷ 4 = 125,850,037.25

If the quotient is a whole number, then 4 and 125,850,037.25 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:

1 503,400,149
-1 503,400,149
Keep dividing by the next highest number until you cannot divide anymore.

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

17231617394,2315,17316,99729,61797,313118,979681,1913,126,70921,886,96371,914,307503,400,149
-1-7-23-161-739-4,231-5,173-16,997-29,617-97,313-118,979-681,191-3,126,709-21,886,963-71,914,307-503,400,149

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