Q: What are the factor combinations of the number 15,038,875?

 A:
Positive:   1 x 150388755 x 300777525 x 60155531 x 485125125 x 120311155 x 97025775 x 194053875 x 3881
Negative: -1 x -15038875-5 x -3007775-25 x -601555-31 x -485125-125 x -120311-155 x -97025-775 x -19405-3875 x -3881


How do I find the factor combinations of the number 15,038,875?

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 15,038,875, 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 15,038,875
-1 -15,038,875

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 15,038,875.

Example:
1 x 15,038,875 = 15,038,875
and
-1 x -15,038,875 = 15,038,875
Notice both answers equal 15,038,875

With that explanation out of the way, let's continue. Next, we take the number 15,038,875 and divide it by 2:

15,038,875 ÷ 2 = 7,519,437.5

If the quotient is a whole number, then 2 and 7,519,437.5 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 15,038,875
-1 -15,038,875

Now, we try dividing 15,038,875 by 3:

15,038,875 ÷ 3 = 5,012,958.3333

If the quotient is a whole number, then 3 and 5,012,958.3333 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 15,038,875
-1 -15,038,875

Let's try dividing by 4:

15,038,875 ÷ 4 = 3,759,718.75

If the quotient is a whole number, then 4 and 3,759,718.75 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 15,038,875
-1 15,038,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557753,8753,88119,40597,025120,311485,125601,5553,007,77515,038,875
-1-5-25-31-125-155-775-3,875-3,881-19,405-97,025-120,311-485,125-601,555-3,007,775-15,038,875

More Examples

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