Q: What are the factor combinations of the number 422,532,523?

 A:
Positive:   1 x 4225325237 x 6036178929 x 14570087137 x 3084179203 x 2081441959 x 4405973973 x 10635115193 x 27811
Negative: -1 x -422532523-7 x -60361789-29 x -14570087-137 x -3084179-203 x -2081441-959 x -440597-3973 x -106351-15193 x -27811


How do I find the factor combinations of the number 422,532,523?

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 422,532,523, 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.

1 422,532,523
-1 -422,532,523

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 422,532,523.

Example:
1 x 422,532,523 = 422,532,523
and
-1 x -422,532,523 = 422,532,523
Notice both answers equal 422,532,523

With that explanation out of the way, let's continue. Next, we take the number 422,532,523 and divide it by 2:

422,532,523 ÷ 2 = 211,266,261.5

If the quotient is a whole number, then 2 and 211,266,261.5 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:

1 422,532,523
-1 -422,532,523

Now, we try dividing 422,532,523 by 3:

422,532,523 ÷ 3 = 140,844,174.3333

If the quotient is a whole number, then 3 and 140,844,174.3333 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:

1 422,532,523
-1 -422,532,523

Let's try dividing by 4:

422,532,523 ÷ 4 = 105,633,130.75

If the quotient is a whole number, then 4 and 105,633,130.75 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:

1 422,532,523
-1 422,532,523
Keep dividing by the next highest number until you cannot divide anymore.

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

17291372039593,97315,19327,811106,351440,5972,081,4413,084,17914,570,08760,361,789422,532,523
-1-7-29-137-203-959-3,973-15,193-27,811-106,351-440,597-2,081,441-3,084,179-14,570,087-60,361,789-422,532,523

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