Q: What are the factor combinations of the number 515,423,143?

 A:
Positive:   1 x 51542314331 x 1662655373 x 7060591421 x 1224283541 x 9527232263 x 22776113051 x 3949316771 x 30733
Negative: -1 x -515423143-31 x -16626553-73 x -7060591-421 x -1224283-541 x -952723-2263 x -227761-13051 x -39493-16771 x -30733


How do I find the factor combinations of the number 515,423,143?

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 515,423,143, 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.

1 515,423,143
-1 -515,423,143

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 515,423,143.

Example:
1 x 515,423,143 = 515,423,143
and
-1 x -515,423,143 = 515,423,143
Notice both answers equal 515,423,143

With that explanation out of the way, let's continue. Next, we take the number 515,423,143 and divide it by 2:

515,423,143 ÷ 2 = 257,711,571.5

If the quotient is a whole number, then 2 and 257,711,571.5 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:

1 515,423,143
-1 -515,423,143

Now, we try dividing 515,423,143 by 3:

515,423,143 ÷ 3 = 171,807,714.3333

If the quotient is a whole number, then 3 and 171,807,714.3333 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:

1 515,423,143
-1 -515,423,143

Let's try dividing by 4:

515,423,143 ÷ 4 = 128,855,785.75

If the quotient is a whole number, then 4 and 128,855,785.75 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:

1 515,423,143
-1 515,423,143
Keep dividing by the next highest number until you cannot divide anymore.

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

131734215412,26313,05116,77130,73339,493227,761952,7231,224,2837,060,59116,626,553515,423,143
-1-31-73-421-541-2,263-13,051-16,771-30,733-39,493-227,761-952,723-1,224,283-7,060,591-16,626,553-515,423,143

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