Q: What are the factor combinations of the number 18,450,985?

 A:
Positive:   1 x 184509855 x 36901977 x 263585535 x 527171317 x 582051585 x 116411663 x 110952219 x 8315
Negative: -1 x -18450985-5 x -3690197-7 x -2635855-35 x -527171-317 x -58205-1585 x -11641-1663 x -11095-2219 x -8315


How do I find the factor combinations of the number 18,450,985?

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 18,450,985, 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 18,450,985
-1 -18,450,985

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 18,450,985.

Example:
1 x 18,450,985 = 18,450,985
and
-1 x -18,450,985 = 18,450,985
Notice both answers equal 18,450,985

With that explanation out of the way, let's continue. Next, we take the number 18,450,985 and divide it by 2:

18,450,985 ÷ 2 = 9,225,492.5

If the quotient is a whole number, then 2 and 9,225,492.5 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 18,450,985
-1 -18,450,985

Now, we try dividing 18,450,985 by 3:

18,450,985 ÷ 3 = 6,150,328.3333

If the quotient is a whole number, then 3 and 6,150,328.3333 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 18,450,985
-1 -18,450,985

Let's try dividing by 4:

18,450,985 ÷ 4 = 4,612,746.25

If the quotient is a whole number, then 4 and 4,612,746.25 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 18,450,985
-1 18,450,985
Keep dividing by the next highest number until you cannot divide anymore.

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

157353171,5851,6632,2198,31511,09511,64158,205527,1712,635,8553,690,19718,450,985
-1-5-7-35-317-1,585-1,663-2,219-8,315-11,095-11,641-58,205-527,171-2,635,855-3,690,197-18,450,985

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