Q: What are the factor combinations of the number 122,701,615?

 A:
Positive:   1 x 1227016155 x 2454032379 x 1553185113 x 1085855395 x 310637565 x 2171712749 x 446358927 x 13745
Negative: -1 x -122701615-5 x -24540323-79 x -1553185-113 x -1085855-395 x -310637-565 x -217171-2749 x -44635-8927 x -13745


How do I find the factor combinations of the number 122,701,615?

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 122,701,615, 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.

1 122,701,615
-1 -122,701,615

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 122,701,615.

Example:
1 x 122,701,615 = 122,701,615
and
-1 x -122,701,615 = 122,701,615
Notice both answers equal 122,701,615

With that explanation out of the way, let's continue. Next, we take the number 122,701,615 and divide it by 2:

122,701,615 ÷ 2 = 61,350,807.5

If the quotient is a whole number, then 2 and 61,350,807.5 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:

1 122,701,615
-1 -122,701,615

Now, we try dividing 122,701,615 by 3:

122,701,615 ÷ 3 = 40,900,538.3333

If the quotient is a whole number, then 3 and 40,900,538.3333 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:

1 122,701,615
-1 -122,701,615

Let's try dividing by 4:

122,701,615 ÷ 4 = 30,675,403.75

If the quotient is a whole number, then 4 and 30,675,403.75 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:

1 122,701,615
-1 122,701,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15791133955652,7498,92713,74544,635217,171310,6371,085,8551,553,18524,540,323122,701,615
-1-5-79-113-395-565-2,749-8,927-13,745-44,635-217,171-310,637-1,085,855-1,553,185-24,540,323-122,701,615

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