Q: What are the factor combinations of the number 100,155,155?

 A:
Positive:   1 x 1001551555 x 2003103159 x 1697545295 x 339509467 x 214465727 x 1377652335 x 428933635 x 27553
Negative: -1 x -100155155-5 x -20031031-59 x -1697545-295 x -339509-467 x -214465-727 x -137765-2335 x -42893-3635 x -27553


How do I find the factor combinations of the number 100,155,155?

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 100,155,155, 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.

1 100,155,155
-1 -100,155,155

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 100,155,155.

Example:
1 x 100,155,155 = 100,155,155
and
-1 x -100,155,155 = 100,155,155
Notice both answers equal 100,155,155

With that explanation out of the way, let's continue. Next, we take the number 100,155,155 and divide it by 2:

100,155,155 ÷ 2 = 50,077,577.5

If the quotient is a whole number, then 2 and 50,077,577.5 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:

1 100,155,155
-1 -100,155,155

Now, we try dividing 100,155,155 by 3:

100,155,155 ÷ 3 = 33,385,051.6667

If the quotient is a whole number, then 3 and 33,385,051.6667 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:

1 100,155,155
-1 -100,155,155

Let's try dividing by 4:

100,155,155 ÷ 4 = 25,038,788.75

If the quotient is a whole number, then 4 and 25,038,788.75 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:

1 100,155,155
-1 100,155,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15592954677272,3353,63527,55342,893137,765214,465339,5091,697,54520,031,031100,155,155
-1-5-59-295-467-727-2,335-3,635-27,553-42,893-137,765-214,465-339,509-1,697,545-20,031,031-100,155,155

More Examples

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