Q: What are the factor combinations of the number 477,051,503?

 A:
Positive:   1 x 47705150343 x 11094221
Negative: -1 x -477051503-43 x -11094221


How do I find the factor combinations of the number 477,051,503?

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 477,051,503, 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.

1 477,051,503
-1 -477,051,503

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 477,051,503.

Example:
1 x 477,051,503 = 477,051,503
and
-1 x -477,051,503 = 477,051,503
Notice both answers equal 477,051,503

With that explanation out of the way, let's continue. Next, we take the number 477,051,503 and divide it by 2:

477,051,503 ÷ 2 = 238,525,751.5

If the quotient is a whole number, then 2 and 238,525,751.5 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:

1 477,051,503
-1 -477,051,503

Now, we try dividing 477,051,503 by 3:

477,051,503 ÷ 3 = 159,017,167.6667

If the quotient is a whole number, then 3 and 159,017,167.6667 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:

1 477,051,503
-1 -477,051,503

Let's try dividing by 4:

477,051,503 ÷ 4 = 119,262,875.75

If the quotient is a whole number, then 4 and 119,262,875.75 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:

1 477,051,503
-1 477,051,503
Keep dividing by the next highest number until you cannot divide anymore.

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

14311,094,221477,051,503
-1-43-11,094,221-477,051,503

More Examples

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