Q: What are the factor combinations of the number 18,625,625?

 A:
Positive:   1 x 186256255 x 372512517 x 109562525 x 74502585 x 219125125 x 149005425 x 43825625 x 298011753 x 106252125 x 8765
Negative: -1 x -18625625-5 x -3725125-17 x -1095625-25 x -745025-85 x -219125-125 x -149005-425 x -43825-625 x -29801-1753 x -10625-2125 x -8765


How do I find the factor combinations of the number 18,625,625?

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 18,625,625, 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 18,625,625
-1 -18,625,625

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 18,625,625.

Example:
1 x 18,625,625 = 18,625,625
and
-1 x -18,625,625 = 18,625,625
Notice both answers equal 18,625,625

With that explanation out of the way, let's continue. Next, we take the number 18,625,625 and divide it by 2:

18,625,625 ÷ 2 = 9,312,812.5

If the quotient is a whole number, then 2 and 9,312,812.5 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 18,625,625
-1 -18,625,625

Now, we try dividing 18,625,625 by 3:

18,625,625 ÷ 3 = 6,208,541.6667

If the quotient is a whole number, then 3 and 6,208,541.6667 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 18,625,625
-1 -18,625,625

Let's try dividing by 4:

18,625,625 ÷ 4 = 4,656,406.25

If the quotient is a whole number, then 4 and 4,656,406.25 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 18,625,625
-1 18,625,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254256251,7532,1258,76510,62529,80143,825149,005219,125745,0251,095,6253,725,12518,625,625
-1-5-17-25-85-125-425-625-1,753-2,125-8,765-10,625-29,801-43,825-149,005-219,125-745,025-1,095,625-3,725,125-18,625,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,625,625:


Ask a Question