Q: What are the factor combinations of the number 818,172,421?

 A:
Positive:   1 x 81817242111 x 74379311109 x 7506169131 x 62455911199 x 6823791441 x 5677815209 x 15706914279 x 57299
Negative: -1 x -818172421-11 x -74379311-109 x -7506169-131 x -6245591-1199 x -682379-1441 x -567781-5209 x -157069-14279 x -57299


How do I find the factor combinations of the number 818,172,421?

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 818,172,421, 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.

1 818,172,421
-1 -818,172,421

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 818,172,421.

Example:
1 x 818,172,421 = 818,172,421
and
-1 x -818,172,421 = 818,172,421
Notice both answers equal 818,172,421

With that explanation out of the way, let's continue. Next, we take the number 818,172,421 and divide it by 2:

818,172,421 ÷ 2 = 409,086,210.5

If the quotient is a whole number, then 2 and 409,086,210.5 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:

1 818,172,421
-1 -818,172,421

Now, we try dividing 818,172,421 by 3:

818,172,421 ÷ 3 = 272,724,140.3333

If the quotient is a whole number, then 3 and 272,724,140.3333 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:

1 818,172,421
-1 -818,172,421

Let's try dividing by 4:

818,172,421 ÷ 4 = 204,543,105.25

If the quotient is a whole number, then 4 and 204,543,105.25 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:

1 818,172,421
-1 818,172,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1111091311,1991,4415,20914,27957,299157,069567,781682,3796,245,5917,506,16974,379,311818,172,421
-1-11-109-131-1,199-1,441-5,209-14,279-57,299-157,069-567,781-682,379-6,245,591-7,506,169-74,379,311-818,172,421

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 818,172,421:


Ask a Question