Q: What are the factor combinations of the number 515,565,155?

 A:
Positive:   1 x 5155651555 x 1031130317 x 7365216535 x 14730433283 x 18217851415 x 3643571981 x 2602559905 x 52051
Negative: -1 x -515565155-5 x -103113031-7 x -73652165-35 x -14730433-283 x -1821785-1415 x -364357-1981 x -260255-9905 x -52051


How do I find the factor combinations of the number 515,565,155?

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 515,565,155, 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.

1 515,565,155
-1 -515,565,155

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 515,565,155.

Example:
1 x 515,565,155 = 515,565,155
and
-1 x -515,565,155 = 515,565,155
Notice both answers equal 515,565,155

With that explanation out of the way, let's continue. Next, we take the number 515,565,155 and divide it by 2:

515,565,155 ÷ 2 = 257,782,577.5

If the quotient is a whole number, then 2 and 257,782,577.5 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:

1 515,565,155
-1 -515,565,155

Now, we try dividing 515,565,155 by 3:

515,565,155 ÷ 3 = 171,855,051.6667

If the quotient is a whole number, then 3 and 171,855,051.6667 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:

1 515,565,155
-1 -515,565,155

Let's try dividing by 4:

515,565,155 ÷ 4 = 128,891,288.75

If the quotient is a whole number, then 4 and 128,891,288.75 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:

1 515,565,155
-1 515,565,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157352831,4151,9819,90552,051260,255364,3571,821,78514,730,43373,652,165103,113,031515,565,155
-1-5-7-35-283-1,415-1,981-9,905-52,051-260,255-364,357-1,821,785-14,730,433-73,652,165-103,113,031-515,565,155

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