Q: What are the factor combinations of the number 18,220,315?

 A:
Positive:   1 x 182203155 x 364406367 x 271945137 x 132995335 x 54389397 x 45895685 x 265991985 x 9179
Negative: -1 x -18220315-5 x -3644063-67 x -271945-137 x -132995-335 x -54389-397 x -45895-685 x -26599-1985 x -9179


How do I find the factor combinations of the number 18,220,315?

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 18,220,315, 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 18,220,315
-1 -18,220,315

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 18,220,315.

Example:
1 x 18,220,315 = 18,220,315
and
-1 x -18,220,315 = 18,220,315
Notice both answers equal 18,220,315

With that explanation out of the way, let's continue. Next, we take the number 18,220,315 and divide it by 2:

18,220,315 ÷ 2 = 9,110,157.5

If the quotient is a whole number, then 2 and 9,110,157.5 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 18,220,315
-1 -18,220,315

Now, we try dividing 18,220,315 by 3:

18,220,315 ÷ 3 = 6,073,438.3333

If the quotient is a whole number, then 3 and 6,073,438.3333 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 18,220,315
-1 -18,220,315

Let's try dividing by 4:

18,220,315 ÷ 4 = 4,555,078.75

If the quotient is a whole number, then 4 and 4,555,078.75 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 18,220,315
-1 18,220,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15671373353976851,9859,17926,59945,89554,389132,995271,9453,644,06318,220,315
-1-5-67-137-335-397-685-1,985-9,179-26,599-45,895-54,389-132,995-271,945-3,644,063-18,220,315

More Examples

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