Q: What are the factor combinations of the number 510,357,835?

 A:
Positive:   1 x 5103578355 x 10207156713 x 3925829537 x 1379345565 x 7851659185 x 2758691481 x 10610352405 x 212207
Negative: -1 x -510357835-5 x -102071567-13 x -39258295-37 x -13793455-65 x -7851659-185 x -2758691-481 x -1061035-2405 x -212207


How do I find the factor combinations of the number 510,357,835?

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 510,357,835, 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.

1 510,357,835
-1 -510,357,835

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 510,357,835.

Example:
1 x 510,357,835 = 510,357,835
and
-1 x -510,357,835 = 510,357,835
Notice both answers equal 510,357,835

With that explanation out of the way, let's continue. Next, we take the number 510,357,835 and divide it by 2:

510,357,835 ÷ 2 = 255,178,917.5

If the quotient is a whole number, then 2 and 255,178,917.5 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:

1 510,357,835
-1 -510,357,835

Now, we try dividing 510,357,835 by 3:

510,357,835 ÷ 3 = 170,119,278.3333

If the quotient is a whole number, then 3 and 170,119,278.3333 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:

1 510,357,835
-1 -510,357,835

Let's try dividing by 4:

510,357,835 ÷ 4 = 127,589,458.75

If the quotient is a whole number, then 4 and 127,589,458.75 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:

1 510,357,835
-1 510,357,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,405212,2071,061,0352,758,6917,851,65913,793,45539,258,295102,071,567510,357,835
-1-5-13-37-65-185-481-2,405-212,207-1,061,035-2,758,691-7,851,659-13,793,455-39,258,295-102,071,567-510,357,835

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