Q: What are the factor combinations of the number 32,624,003?

 A:
Positive:   1 x 3262400317 x 191905971 x 459493151 x 216053179 x 1822571207 x 270292567 x 127093043 x 10721
Negative: -1 x -32624003-17 x -1919059-71 x -459493-151 x -216053-179 x -182257-1207 x -27029-2567 x -12709-3043 x -10721


How do I find the factor combinations of the number 32,624,003?

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 32,624,003, 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 32,624,003
-1 -32,624,003

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 32,624,003.

Example:
1 x 32,624,003 = 32,624,003
and
-1 x -32,624,003 = 32,624,003
Notice both answers equal 32,624,003

With that explanation out of the way, let's continue. Next, we take the number 32,624,003 and divide it by 2:

32,624,003 ÷ 2 = 16,312,001.5

If the quotient is a whole number, then 2 and 16,312,001.5 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 32,624,003
-1 -32,624,003

Now, we try dividing 32,624,003 by 3:

32,624,003 ÷ 3 = 10,874,667.6667

If the quotient is a whole number, then 3 and 10,874,667.6667 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 32,624,003
-1 -32,624,003

Let's try dividing by 4:

32,624,003 ÷ 4 = 8,156,000.75

If the quotient is a whole number, then 4 and 8,156,000.75 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 32,624,003
-1 32,624,003
Keep dividing by the next highest number until you cannot divide anymore.

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

117711511791,2072,5673,04310,72112,70927,029182,257216,053459,4931,919,05932,624,003
-1-17-71-151-179-1,207-2,567-3,043-10,721-12,709-27,029-182,257-216,053-459,493-1,919,059-32,624,003

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