Q: What are the factor combinations of the number 500,512,151?

 A:
Positive:   1 x 500512151
Negative: -1 x -500512151


How do I find the factor combinations of the number 500,512,151?

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 500,512,151, 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.

1 500,512,151
-1 -500,512,151

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 500,512,151.

Example:
1 x 500,512,151 = 500,512,151
and
-1 x -500,512,151 = 500,512,151
Notice both answers equal 500,512,151

With that explanation out of the way, let's continue. Next, we take the number 500,512,151 and divide it by 2:

500,512,151 ÷ 2 = 250,256,075.5

If the quotient is a whole number, then 2 and 250,256,075.5 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:

1 500,512,151
-1 -500,512,151

Now, we try dividing 500,512,151 by 3:

500,512,151 ÷ 3 = 166,837,383.6667

If the quotient is a whole number, then 3 and 166,837,383.6667 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:

1 500,512,151
-1 -500,512,151

Let's try dividing by 4:

500,512,151 ÷ 4 = 125,128,037.75

If the quotient is a whole number, then 4 and 125,128,037.75 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:

1 500,512,151
-1 500,512,151
Keep dividing by the next highest number until you cannot divide anymore.

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

1500,512,151
-1-500,512,151

More Examples

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