Q: What are the factor combinations of the number 15,377,219?

 A:
Positive:   1 x 1537721911 x 139792913 x 1182863143 x 107533191 x 80509563 x 273132101 x 73192483 x 6193
Negative: -1 x -15377219-11 x -1397929-13 x -1182863-143 x -107533-191 x -80509-563 x -27313-2101 x -7319-2483 x -6193


How do I find the factor combinations of the number 15,377,219?

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 15,377,219, 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 15,377,219
-1 -15,377,219

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 15,377,219.

Example:
1 x 15,377,219 = 15,377,219
and
-1 x -15,377,219 = 15,377,219
Notice both answers equal 15,377,219

With that explanation out of the way, let's continue. Next, we take the number 15,377,219 and divide it by 2:

15,377,219 ÷ 2 = 7,688,609.5

If the quotient is a whole number, then 2 and 7,688,609.5 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 15,377,219
-1 -15,377,219

Now, we try dividing 15,377,219 by 3:

15,377,219 ÷ 3 = 5,125,739.6667

If the quotient is a whole number, then 3 and 5,125,739.6667 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 15,377,219
-1 -15,377,219

Let's try dividing by 4:

15,377,219 ÷ 4 = 3,844,304.75

If the quotient is a whole number, then 4 and 3,844,304.75 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 15,377,219
-1 15,377,219
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431915632,1012,4836,1937,31927,31380,509107,5331,182,8631,397,92915,377,219
-1-11-13-143-191-563-2,101-2,483-6,193-7,319-27,313-80,509-107,533-1,182,863-1,397,929-15,377,219

More Examples

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