Q: What are the factor combinations of the number 500,544,475?

 A:
Positive:   1 x 5005444755 x 10010889525 x 20021779163 x 3070825815 x 6141654075 x 122833
Negative: -1 x -500544475-5 x -100108895-25 x -20021779-163 x -3070825-815 x -614165-4075 x -122833


How do I find the factor combinations of the number 500,544,475?

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 500,544,475, 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.

1 500,544,475
-1 -500,544,475

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 500,544,475.

Example:
1 x 500,544,475 = 500,544,475
and
-1 x -500,544,475 = 500,544,475
Notice both answers equal 500,544,475

With that explanation out of the way, let's continue. Next, we take the number 500,544,475 and divide it by 2:

500,544,475 ÷ 2 = 250,272,237.5

If the quotient is a whole number, then 2 and 250,272,237.5 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:

1 500,544,475
-1 -500,544,475

Now, we try dividing 500,544,475 by 3:

500,544,475 ÷ 3 = 166,848,158.3333

If the quotient is a whole number, then 3 and 166,848,158.3333 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:

1 500,544,475
-1 -500,544,475

Let's try dividing by 4:

500,544,475 ÷ 4 = 125,136,118.75

If the quotient is a whole number, then 4 and 125,136,118.75 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:

1 500,544,475
-1 500,544,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15251638154,075122,833614,1653,070,82520,021,779100,108,895500,544,475
-1-5-25-163-815-4,075-122,833-614,165-3,070,825-20,021,779-100,108,895-500,544,475

More Examples

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