Q: What are the factor combinations of the number 510,246,503?

 A:
Positive:   1 x 51024650313 x 3924973129 x 17594707127 x 4017689377 x 13534391651 x 3090533683 x 13854110657 x 47879
Negative: -1 x -510246503-13 x -39249731-29 x -17594707-127 x -4017689-377 x -1353439-1651 x -309053-3683 x -138541-10657 x -47879


How do I find the factor combinations of the number 510,246,503?

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 510,246,503, 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.

1 510,246,503
-1 -510,246,503

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 510,246,503.

Example:
1 x 510,246,503 = 510,246,503
and
-1 x -510,246,503 = 510,246,503
Notice both answers equal 510,246,503

With that explanation out of the way, let's continue. Next, we take the number 510,246,503 and divide it by 2:

510,246,503 ÷ 2 = 255,123,251.5

If the quotient is a whole number, then 2 and 255,123,251.5 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:

1 510,246,503
-1 -510,246,503

Now, we try dividing 510,246,503 by 3:

510,246,503 ÷ 3 = 170,082,167.6667

If the quotient is a whole number, then 3 and 170,082,167.6667 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:

1 510,246,503
-1 -510,246,503

Let's try dividing by 4:

510,246,503 ÷ 4 = 127,561,625.75

If the quotient is a whole number, then 4 and 127,561,625.75 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:

1 510,246,503
-1 510,246,503
Keep dividing by the next highest number until you cannot divide anymore.

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

113291273771,6513,68310,65747,879138,541309,0531,353,4394,017,68917,594,70739,249,731510,246,503
-1-13-29-127-377-1,651-3,683-10,657-47,879-138,541-309,053-1,353,439-4,017,689-17,594,707-39,249,731-510,246,503

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