Q: What are the factor combinations of the number 422,655,155?

 A:
Positive:   1 x 4226551555 x 8453103113 x 3251193565 x 6502387211 x 20031051055 x 4006212743 x 15408513715 x 30817
Negative: -1 x -422655155-5 x -84531031-13 x -32511935-65 x -6502387-211 x -2003105-1055 x -400621-2743 x -154085-13715 x -30817


How do I find the factor combinations of the number 422,655,155?

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 422,655,155, 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.

1 422,655,155
-1 -422,655,155

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 422,655,155.

Example:
1 x 422,655,155 = 422,655,155
and
-1 x -422,655,155 = 422,655,155
Notice both answers equal 422,655,155

With that explanation out of the way, let's continue. Next, we take the number 422,655,155 and divide it by 2:

422,655,155 ÷ 2 = 211,327,577.5

If the quotient is a whole number, then 2 and 211,327,577.5 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:

1 422,655,155
-1 -422,655,155

Now, we try dividing 422,655,155 by 3:

422,655,155 ÷ 3 = 140,885,051.6667

If the quotient is a whole number, then 3 and 140,885,051.6667 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:

1 422,655,155
-1 -422,655,155

Let's try dividing by 4:

422,655,155 ÷ 4 = 105,663,788.75

If the quotient is a whole number, then 4 and 105,663,788.75 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:

1 422,655,155
-1 422,655,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652111,0552,74313,71530,817154,085400,6212,003,1056,502,38732,511,93584,531,031422,655,155
-1-5-13-65-211-1,055-2,743-13,715-30,817-154,085-400,621-2,003,105-6,502,387-32,511,935-84,531,031-422,655,155

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