Q: What are the factor combinations of the number 512,553,505?

 A:
Positive:   1 x 5125535055 x 10251070123 x 2228493541 x 12501305115 x 4456987205 x 2500261943 x 5435354715 x 108707
Negative: -1 x -512553505-5 x -102510701-23 x -22284935-41 x -12501305-115 x -4456987-205 x -2500261-943 x -543535-4715 x -108707


How do I find the factor combinations of the number 512,553,505?

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 512,553,505, 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.

1 512,553,505
-1 -512,553,505

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 512,553,505.

Example:
1 x 512,553,505 = 512,553,505
and
-1 x -512,553,505 = 512,553,505
Notice both answers equal 512,553,505

With that explanation out of the way, let's continue. Next, we take the number 512,553,505 and divide it by 2:

512,553,505 ÷ 2 = 256,276,752.5

If the quotient is a whole number, then 2 and 256,276,752.5 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:

1 512,553,505
-1 -512,553,505

Now, we try dividing 512,553,505 by 3:

512,553,505 ÷ 3 = 170,851,168.3333

If the quotient is a whole number, then 3 and 170,851,168.3333 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:

1 512,553,505
-1 -512,553,505

Let's try dividing by 4:

512,553,505 ÷ 4 = 128,138,376.25

If the quotient is a whole number, then 4 and 128,138,376.25 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:

1 512,553,505
-1 512,553,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1523411152059434,715108,707543,5352,500,2614,456,98712,501,30522,284,935102,510,701512,553,505
-1-5-23-41-115-205-943-4,715-108,707-543,535-2,500,261-4,456,987-12,501,305-22,284,935-102,510,701-512,553,505

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