Q: What are the factor combinations of the number 423,524,003?

 A:
Positive:   1 x 4235240037 x 6050342919 x 2229073747 x 901114949 x 8643347133 x 3184391329 x 1287307893 x 474271931 x 4549132303 x 1839016251 x 677539679 x 43757
Negative: -1 x -423524003-7 x -60503429-19 x -22290737-47 x -9011149-49 x -8643347-133 x -3184391-329 x -1287307-893 x -474271-931 x -454913-2303 x -183901-6251 x -67753-9679 x -43757


How do I find the factor combinations of the number 423,524,003?

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 423,524,003, 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.

1 423,524,003
-1 -423,524,003

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 423,524,003.

Example:
1 x 423,524,003 = 423,524,003
and
-1 x -423,524,003 = 423,524,003
Notice both answers equal 423,524,003

With that explanation out of the way, let's continue. Next, we take the number 423,524,003 and divide it by 2:

423,524,003 ÷ 2 = 211,762,001.5

If the quotient is a whole number, then 2 and 211,762,001.5 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:

1 423,524,003
-1 -423,524,003

Now, we try dividing 423,524,003 by 3:

423,524,003 ÷ 3 = 141,174,667.6667

If the quotient is a whole number, then 3 and 141,174,667.6667 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:

1 423,524,003
-1 -423,524,003

Let's try dividing by 4:

423,524,003 ÷ 4 = 105,881,000.75

If the quotient is a whole number, then 4 and 105,881,000.75 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:

1 423,524,003
-1 423,524,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171947491333298939312,3036,2519,67943,75767,753183,901454,913474,2711,287,3073,184,3918,643,3479,011,14922,290,73760,503,429423,524,003
-1-7-19-47-49-133-329-893-931-2,303-6,251-9,679-43,757-67,753-183,901-454,913-474,271-1,287,307-3,184,391-8,643,347-9,011,149-22,290,737-60,503,429-423,524,003

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