Q: What are the factor combinations of the number 15,474,437?

 A:
Positive:   1 x 1547443711 x 140676717 x 91026183 x 186439187 x 82751913 x 16949997 x 155211411 x 10967
Negative: -1 x -15474437-11 x -1406767-17 x -910261-83 x -186439-187 x -82751-913 x -16949-997 x -15521-1411 x -10967


How do I find the factor combinations of the number 15,474,437?

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 15,474,437, 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 15,474,437
-1 -15,474,437

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 15,474,437.

Example:
1 x 15,474,437 = 15,474,437
and
-1 x -15,474,437 = 15,474,437
Notice both answers equal 15,474,437

With that explanation out of the way, let's continue. Next, we take the number 15,474,437 and divide it by 2:

15,474,437 ÷ 2 = 7,737,218.5

If the quotient is a whole number, then 2 and 7,737,218.5 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 15,474,437
-1 -15,474,437

Now, we try dividing 15,474,437 by 3:

15,474,437 ÷ 3 = 5,158,145.6667

If the quotient is a whole number, then 3 and 5,158,145.6667 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 15,474,437
-1 -15,474,437

Let's try dividing by 4:

15,474,437 ÷ 4 = 3,868,609.25

If the quotient is a whole number, then 4 and 3,868,609.25 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 15,474,437
-1 15,474,437
Keep dividing by the next highest number until you cannot divide anymore.

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

11117831879139971,41110,96715,52116,94982,751186,439910,2611,406,76715,474,437
-1-11-17-83-187-913-997-1,411-10,967-15,521-16,949-82,751-186,439-910,261-1,406,767-15,474,437

More Examples

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