Q: What are the factor combinations of the number 3,018,827?

 A:
Positive:   1 x 30188277 x 43126153 x 5695979 x 38213103 x 29309371 x 8137553 x 5459721 x 4187
Negative: -1 x -3018827-7 x -431261-53 x -56959-79 x -38213-103 x -29309-371 x -8137-553 x -5459-721 x -4187


How do I find the factor combinations of the number 3,018,827?

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 3,018,827, 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 3,018,827
-1 -3,018,827

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 3,018,827.

Example:
1 x 3,018,827 = 3,018,827
and
-1 x -3,018,827 = 3,018,827
Notice both answers equal 3,018,827

With that explanation out of the way, let's continue. Next, we take the number 3,018,827 and divide it by 2:

3,018,827 ÷ 2 = 1,509,413.5

If the quotient is a whole number, then 2 and 1,509,413.5 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 3,018,827
-1 -3,018,827

Now, we try dividing 3,018,827 by 3:

3,018,827 ÷ 3 = 1,006,275.6667

If the quotient is a whole number, then 3 and 1,006,275.6667 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 3,018,827
-1 -3,018,827

Let's try dividing by 4:

3,018,827 ÷ 4 = 754,706.75

If the quotient is a whole number, then 4 and 754,706.75 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 3,018,827
-1 3,018,827
Keep dividing by the next highest number until you cannot divide anymore.

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

1753791033715537214,1875,4598,13729,30938,21356,959431,2613,018,827
-1-7-53-79-103-371-553-721-4,187-5,459-8,137-29,309-38,213-56,959-431,261-3,018,827

More Examples

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