Q: What are the factor combinations of the number 324,635,773?

 A:
Positive:   1 x 3246357737 x 4637653911 x 2951234329 x 1119433777 x 4216049203 x 1599191319 x 10176672233 x 145381
Negative: -1 x -324635773-7 x -46376539-11 x -29512343-29 x -11194337-77 x -4216049-203 x -1599191-319 x -1017667-2233 x -145381


How do I find the factor combinations of the number 324,635,773?

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 324,635,773, 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.

1 324,635,773
-1 -324,635,773

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 324,635,773.

Example:
1 x 324,635,773 = 324,635,773
and
-1 x -324,635,773 = 324,635,773
Notice both answers equal 324,635,773

With that explanation out of the way, let's continue. Next, we take the number 324,635,773 and divide it by 2:

324,635,773 ÷ 2 = 162,317,886.5

If the quotient is a whole number, then 2 and 162,317,886.5 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:

1 324,635,773
-1 -324,635,773

Now, we try dividing 324,635,773 by 3:

324,635,773 ÷ 3 = 108,211,924.3333

If the quotient is a whole number, then 3 and 108,211,924.3333 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:

1 324,635,773
-1 -324,635,773

Let's try dividing by 4:

324,635,773 ÷ 4 = 81,158,943.25

If the quotient is a whole number, then 4 and 81,158,943.25 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:

1 324,635,773
-1 324,635,773
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,233145,3811,017,6671,599,1914,216,04911,194,33729,512,34346,376,539324,635,773
-1-7-11-29-77-203-319-2,233-145,381-1,017,667-1,599,191-4,216,049-11,194,337-29,512,343-46,376,539-324,635,773

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