Q: What are the factor combinations of the number 18,704,491?

 A:
Positive:   1 x 1870449113 x 143880761 x 306631103 x 181597229 x 81679793 x 235871339 x 139692977 x 6283
Negative: -1 x -18704491-13 x -1438807-61 x -306631-103 x -181597-229 x -81679-793 x -23587-1339 x -13969-2977 x -6283


How do I find the factor combinations of the number 18,704,491?

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 18,704,491, 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 18,704,491
-1 -18,704,491

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 18,704,491.

Example:
1 x 18,704,491 = 18,704,491
and
-1 x -18,704,491 = 18,704,491
Notice both answers equal 18,704,491

With that explanation out of the way, let's continue. Next, we take the number 18,704,491 and divide it by 2:

18,704,491 ÷ 2 = 9,352,245.5

If the quotient is a whole number, then 2 and 9,352,245.5 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 18,704,491
-1 -18,704,491

Now, we try dividing 18,704,491 by 3:

18,704,491 ÷ 3 = 6,234,830.3333

If the quotient is a whole number, then 3 and 6,234,830.3333 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 18,704,491
-1 -18,704,491

Let's try dividing by 4:

18,704,491 ÷ 4 = 4,676,122.75

If the quotient is a whole number, then 4 and 4,676,122.75 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 18,704,491
-1 18,704,491
Keep dividing by the next highest number until you cannot divide anymore.

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

113611032297931,3392,9776,28313,96923,58781,679181,597306,6311,438,80718,704,491
-1-13-61-103-229-793-1,339-2,977-6,283-13,969-23,587-81,679-181,597-306,631-1,438,807-18,704,491

More Examples

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