Q: What are the factor combinations of the number 510,344,515?

 A:
Positive:   1 x 5103445155 x 10206890337 x 13793095151 x 3379765185 x 2758619755 x 6759535587 x 9134518269 x 27935
Negative: -1 x -510344515-5 x -102068903-37 x -13793095-151 x -3379765-185 x -2758619-755 x -675953-5587 x -91345-18269 x -27935


How do I find the factor combinations of the number 510,344,515?

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 510,344,515, 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.

1 510,344,515
-1 -510,344,515

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 510,344,515.

Example:
1 x 510,344,515 = 510,344,515
and
-1 x -510,344,515 = 510,344,515
Notice both answers equal 510,344,515

With that explanation out of the way, let's continue. Next, we take the number 510,344,515 and divide it by 2:

510,344,515 ÷ 2 = 255,172,257.5

If the quotient is a whole number, then 2 and 255,172,257.5 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:

1 510,344,515
-1 -510,344,515

Now, we try dividing 510,344,515 by 3:

510,344,515 ÷ 3 = 170,114,838.3333

If the quotient is a whole number, then 3 and 170,114,838.3333 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:

1 510,344,515
-1 -510,344,515

Let's try dividing by 4:

510,344,515 ÷ 4 = 127,586,128.75

If the quotient is a whole number, then 4 and 127,586,128.75 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:

1 510,344,515
-1 510,344,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15371511857555,58718,26927,93591,345675,9532,758,6193,379,76513,793,095102,068,903510,344,515
-1-5-37-151-185-755-5,587-18,269-27,935-91,345-675,953-2,758,619-3,379,765-13,793,095-102,068,903-510,344,515

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