Q: What are the factor combinations of the number 18,401,825?

 A:
Positive:   1 x 184018255 x 368036513 x 141552525 x 73607341 x 44882565 x 283105205 x 89765325 x 56621533 x 345251025 x 179531381 x 133252665 x 6905
Negative: -1 x -18401825-5 x -3680365-13 x -1415525-25 x -736073-41 x -448825-65 x -283105-205 x -89765-325 x -56621-533 x -34525-1025 x -17953-1381 x -13325-2665 x -6905


How do I find the factor combinations of the number 18,401,825?

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 18,401,825, 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 18,401,825
-1 -18,401,825

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 18,401,825.

Example:
1 x 18,401,825 = 18,401,825
and
-1 x -18,401,825 = 18,401,825
Notice both answers equal 18,401,825

With that explanation out of the way, let's continue. Next, we take the number 18,401,825 and divide it by 2:

18,401,825 ÷ 2 = 9,200,912.5

If the quotient is a whole number, then 2 and 9,200,912.5 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 18,401,825
-1 -18,401,825

Now, we try dividing 18,401,825 by 3:

18,401,825 ÷ 3 = 6,133,941.6667

If the quotient is a whole number, then 3 and 6,133,941.6667 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 18,401,825
-1 -18,401,825

Let's try dividing by 4:

18,401,825 ÷ 4 = 4,600,456.25

If the quotient is a whole number, then 4 and 4,600,456.25 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 18,401,825
-1 18,401,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15132541652053255331,0251,3812,6656,90513,32517,95334,52556,62189,765283,105448,825736,0731,415,5253,680,36518,401,825
-1-5-13-25-41-65-205-325-533-1,025-1,381-2,665-6,905-13,325-17,953-34,525-56,621-89,765-283,105-448,825-736,073-1,415,525-3,680,365-18,401,825

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