Q: What are the factor combinations of the number 15,448,375?

 A:
Positive:   1 x 154483755 x 308967525 x 61793583 x 186125125 x 123587415 x 372251489 x 103752075 x 7445
Negative: -1 x -15448375-5 x -3089675-25 x -617935-83 x -186125-125 x -123587-415 x -37225-1489 x -10375-2075 x -7445


How do I find the factor combinations of the number 15,448,375?

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 15,448,375, 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 15,448,375
-1 -15,448,375

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 15,448,375.

Example:
1 x 15,448,375 = 15,448,375
and
-1 x -15,448,375 = 15,448,375
Notice both answers equal 15,448,375

With that explanation out of the way, let's continue. Next, we take the number 15,448,375 and divide it by 2:

15,448,375 ÷ 2 = 7,724,187.5

If the quotient is a whole number, then 2 and 7,724,187.5 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 15,448,375
-1 -15,448,375

Now, we try dividing 15,448,375 by 3:

15,448,375 ÷ 3 = 5,149,458.3333

If the quotient is a whole number, then 3 and 5,149,458.3333 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 15,448,375
-1 -15,448,375

Let's try dividing by 4:

15,448,375 ÷ 4 = 3,862,093.75

If the quotient is a whole number, then 4 and 3,862,093.75 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 15,448,375
-1 15,448,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831254151,4892,0757,44510,37537,225123,587186,125617,9353,089,67515,448,375
-1-5-25-83-125-415-1,489-2,075-7,445-10,375-37,225-123,587-186,125-617,935-3,089,675-15,448,375

More Examples

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