Q: What are the factor combinations of the number 16,440,325?

 A:
Positive:   1 x 164403255 x 328806511 x 149457525 x 65761355 x 298915191 x 86075275 x 59783313 x 52525955 x 172151565 x 105052101 x 78253443 x 4775
Negative: -1 x -16440325-5 x -3288065-11 x -1494575-25 x -657613-55 x -298915-191 x -86075-275 x -59783-313 x -52525-955 x -17215-1565 x -10505-2101 x -7825-3443 x -4775


How do I find the factor combinations of the number 16,440,325?

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 16,440,325, 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 16,440,325
-1 -16,440,325

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 16,440,325.

Example:
1 x 16,440,325 = 16,440,325
and
-1 x -16,440,325 = 16,440,325
Notice both answers equal 16,440,325

With that explanation out of the way, let's continue. Next, we take the number 16,440,325 and divide it by 2:

16,440,325 ÷ 2 = 8,220,162.5

If the quotient is a whole number, then 2 and 8,220,162.5 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 16,440,325
-1 -16,440,325

Now, we try dividing 16,440,325 by 3:

16,440,325 ÷ 3 = 5,480,108.3333

If the quotient is a whole number, then 3 and 5,480,108.3333 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 16,440,325
-1 -16,440,325

Let's try dividing by 4:

16,440,325 ÷ 4 = 4,110,081.25

If the quotient is a whole number, then 4 and 4,110,081.25 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 16,440,325
-1 16,440,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551912753139551,5652,1013,4434,7757,82510,50517,21552,52559,78386,075298,915657,6131,494,5753,288,06516,440,325
-1-5-11-25-55-191-275-313-955-1,565-2,101-3,443-4,775-7,825-10,505-17,215-52,525-59,783-86,075-298,915-657,613-1,494,575-3,288,065-16,440,325

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