Q: What are the factor combinations of the number 455,017,775?

 A:
Positive:   1 x 4550177755 x 9100355525 x 18200711109 x 4174475545 x 8348952725 x 166979
Negative: -1 x -455017775-5 x -91003555-25 x -18200711-109 x -4174475-545 x -834895-2725 x -166979


How do I find the factor combinations of the number 455,017,775?

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 455,017,775, 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.

1 455,017,775
-1 -455,017,775

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 455,017,775.

Example:
1 x 455,017,775 = 455,017,775
and
-1 x -455,017,775 = 455,017,775
Notice both answers equal 455,017,775

With that explanation out of the way, let's continue. Next, we take the number 455,017,775 and divide it by 2:

455,017,775 ÷ 2 = 227,508,887.5

If the quotient is a whole number, then 2 and 227,508,887.5 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:

1 455,017,775
-1 -455,017,775

Now, we try dividing 455,017,775 by 3:

455,017,775 ÷ 3 = 151,672,591.6667

If the quotient is a whole number, then 3 and 151,672,591.6667 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:

1 455,017,775
-1 -455,017,775

Let's try dividing by 4:

455,017,775 ÷ 4 = 113,754,443.75

If the quotient is a whole number, then 4 and 113,754,443.75 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:

1 455,017,775
-1 455,017,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15251095452,725166,979834,8954,174,47518,200,71191,003,555455,017,775
-1-5-25-109-545-2,725-166,979-834,895-4,174,475-18,200,711-91,003,555-455,017,775

More Examples

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