Q: What are the factor combinations of the number 16,330,325?

 A:
Positive:   1 x 163303255 x 326606511 x 148457525 x 65321343 x 37977555 x 296915215 x 75955275 x 59383473 x 345251075 x 151911381 x 118252365 x 6905
Negative: -1 x -16330325-5 x -3266065-11 x -1484575-25 x -653213-43 x -379775-55 x -296915-215 x -75955-275 x -59383-473 x -34525-1075 x -15191-1381 x -11825-2365 x -6905


How do I find the factor combinations of the number 16,330,325?

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 16,330,325, 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 16,330,325
-1 -16,330,325

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 16,330,325.

Example:
1 x 16,330,325 = 16,330,325
and
-1 x -16,330,325 = 16,330,325
Notice both answers equal 16,330,325

With that explanation out of the way, let's continue. Next, we take the number 16,330,325 and divide it by 2:

16,330,325 ÷ 2 = 8,165,162.5

If the quotient is a whole number, then 2 and 8,165,162.5 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 16,330,325
-1 -16,330,325

Now, we try dividing 16,330,325 by 3:

16,330,325 ÷ 3 = 5,443,441.6667

If the quotient is a whole number, then 3 and 5,443,441.6667 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 16,330,325
-1 -16,330,325

Let's try dividing by 4:

16,330,325 ÷ 4 = 4,082,581.25

If the quotient is a whole number, then 4 and 4,082,581.25 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 16,330,325
-1 16,330,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152754731,0751,3812,3656,90511,82515,19134,52559,38375,955296,915379,775653,2131,484,5753,266,06516,330,325
-1-5-11-25-43-55-215-275-473-1,075-1,381-2,365-6,905-11,825-15,191-34,525-59,383-75,955-296,915-379,775-653,213-1,484,575-3,266,065-16,330,325

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