Q: What are the factor combinations of the number 515,564,315?

 A:
Positive:   1 x 5155643155 x 1031128637 x 7365204535 x 14730409887 x 5812454435 x 1162496209 x 8303516607 x 31045
Negative: -1 x -515564315-5 x -103112863-7 x -73652045-35 x -14730409-887 x -581245-4435 x -116249-6209 x -83035-16607 x -31045


How do I find the factor combinations of the number 515,564,315?

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 515,564,315, 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.

1 515,564,315
-1 -515,564,315

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 515,564,315.

Example:
1 x 515,564,315 = 515,564,315
and
-1 x -515,564,315 = 515,564,315
Notice both answers equal 515,564,315

With that explanation out of the way, let's continue. Next, we take the number 515,564,315 and divide it by 2:

515,564,315 ÷ 2 = 257,782,157.5

If the quotient is a whole number, then 2 and 257,782,157.5 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:

1 515,564,315
-1 -515,564,315

Now, we try dividing 515,564,315 by 3:

515,564,315 ÷ 3 = 171,854,771.6667

If the quotient is a whole number, then 3 and 171,854,771.6667 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:

1 515,564,315
-1 -515,564,315

Let's try dividing by 4:

515,564,315 ÷ 4 = 128,891,078.75

If the quotient is a whole number, then 4 and 128,891,078.75 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:

1 515,564,315
-1 515,564,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157358874,4356,20916,60731,04583,035116,249581,24514,730,40973,652,045103,112,863515,564,315
-1-5-7-35-887-4,435-6,209-16,607-31,045-83,035-116,249-581,245-14,730,409-73,652,045-103,112,863-515,564,315

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