Q: What are the factor combinations of the number 500,030,509?

 A:
Positive:   1 x 50003050911 x 4545731947 x 1063894773 x 6849733517 x 967177803 x 6227033431 x 14573913249 x 37741
Negative: -1 x -500030509-11 x -45457319-47 x -10638947-73 x -6849733-517 x -967177-803 x -622703-3431 x -145739-13249 x -37741


How do I find the factor combinations of the number 500,030,509?

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 500,030,509, 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.

1 500,030,509
-1 -500,030,509

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 500,030,509.

Example:
1 x 500,030,509 = 500,030,509
and
-1 x -500,030,509 = 500,030,509
Notice both answers equal 500,030,509

With that explanation out of the way, let's continue. Next, we take the number 500,030,509 and divide it by 2:

500,030,509 ÷ 2 = 250,015,254.5

If the quotient is a whole number, then 2 and 250,015,254.5 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:

1 500,030,509
-1 -500,030,509

Now, we try dividing 500,030,509 by 3:

500,030,509 ÷ 3 = 166,676,836.3333

If the quotient is a whole number, then 3 and 166,676,836.3333 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:

1 500,030,509
-1 -500,030,509

Let's try dividing by 4:

500,030,509 ÷ 4 = 125,007,627.25

If the quotient is a whole number, then 4 and 125,007,627.25 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:

1 500,030,509
-1 500,030,509
Keep dividing by the next highest number until you cannot divide anymore.

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

11147735178033,43113,24937,741145,739622,703967,1776,849,73310,638,94745,457,319500,030,509
-1-11-47-73-517-803-3,431-13,249-37,741-145,739-622,703-967,177-6,849,733-10,638,947-45,457,319-500,030,509

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