Q: What are the factor combinations of the number 455,040,155?

 A:
Positive:   1 x 4550401555 x 9100803159 x 7712545295 x 1542509
Negative: -1 x -455040155-5 x -91008031-59 x -7712545-295 x -1542509


How do I find the factor combinations of the number 455,040,155?

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 455,040,155, 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.

1 455,040,155
-1 -455,040,155

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 455,040,155.

Example:
1 x 455,040,155 = 455,040,155
and
-1 x -455,040,155 = 455,040,155
Notice both answers equal 455,040,155

With that explanation out of the way, let's continue. Next, we take the number 455,040,155 and divide it by 2:

455,040,155 ÷ 2 = 227,520,077.5

If the quotient is a whole number, then 2 and 227,520,077.5 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:

1 455,040,155
-1 -455,040,155

Now, we try dividing 455,040,155 by 3:

455,040,155 ÷ 3 = 151,680,051.6667

If the quotient is a whole number, then 3 and 151,680,051.6667 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:

1 455,040,155
-1 -455,040,155

Let's try dividing by 4:

455,040,155 ÷ 4 = 113,760,038.75

If the quotient is a whole number, then 4 and 113,760,038.75 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:

1 455,040,155
-1 455,040,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15592951,542,5097,712,54591,008,031455,040,155
-1-5-59-295-1,542,509-7,712,545-91,008,031-455,040,155

More Examples

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