Q: What are the factor combinations of the number 32,490,815?

 A:
Positive:   1 x 324908155 x 64981637 x 464154535 x 928309911 x 356651019 x 318854555 x 71335095 x 6377
Negative: -1 x -32490815-5 x -6498163-7 x -4641545-35 x -928309-911 x -35665-1019 x -31885-4555 x -7133-5095 x -6377


How do I find the factor combinations of the number 32,490,815?

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 32,490,815, 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 32,490,815
-1 -32,490,815

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 32,490,815.

Example:
1 x 32,490,815 = 32,490,815
and
-1 x -32,490,815 = 32,490,815
Notice both answers equal 32,490,815

With that explanation out of the way, let's continue. Next, we take the number 32,490,815 and divide it by 2:

32,490,815 ÷ 2 = 16,245,407.5

If the quotient is a whole number, then 2 and 16,245,407.5 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 32,490,815
-1 -32,490,815

Now, we try dividing 32,490,815 by 3:

32,490,815 ÷ 3 = 10,830,271.6667

If the quotient is a whole number, then 3 and 10,830,271.6667 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 32,490,815
-1 -32,490,815

Let's try dividing by 4:

32,490,815 ÷ 4 = 8,122,703.75

If the quotient is a whole number, then 4 and 8,122,703.75 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 32,490,815
-1 32,490,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157359111,0194,5555,0956,3777,13331,88535,665928,3094,641,5456,498,16332,490,815
-1-5-7-35-911-1,019-4,555-5,095-6,377-7,133-31,885-35,665-928,309-4,641,545-6,498,163-32,490,815

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