Q: What are the factor combinations of the number 15,043,645?

 A:
Positive:   1 x 150436455 x 300872937 x 406585185 x 81317233 x 64565349 x 431051165 x 129131745 x 8621
Negative: -1 x -15043645-5 x -3008729-37 x -406585-185 x -81317-233 x -64565-349 x -43105-1165 x -12913-1745 x -8621


How do I find the factor combinations of the number 15,043,645?

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 15,043,645, 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 15,043,645
-1 -15,043,645

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 15,043,645.

Example:
1 x 15,043,645 = 15,043,645
and
-1 x -15,043,645 = 15,043,645
Notice both answers equal 15,043,645

With that explanation out of the way, let's continue. Next, we take the number 15,043,645 and divide it by 2:

15,043,645 ÷ 2 = 7,521,822.5

If the quotient is a whole number, then 2 and 7,521,822.5 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 15,043,645
-1 -15,043,645

Now, we try dividing 15,043,645 by 3:

15,043,645 ÷ 3 = 5,014,548.3333

If the quotient is a whole number, then 3 and 5,014,548.3333 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 15,043,645
-1 -15,043,645

Let's try dividing by 4:

15,043,645 ÷ 4 = 3,760,911.25

If the quotient is a whole number, then 4 and 3,760,911.25 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 15,043,645
-1 15,043,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852333491,1651,7458,62112,91343,10564,56581,317406,5853,008,72915,043,645
-1-5-37-185-233-349-1,165-1,745-8,621-12,913-43,105-64,565-81,317-406,585-3,008,729-15,043,645

More Examples

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