Q: What are the factor combinations of the number 15,001,675?

 A:
Positive:   1 x 150016755 x 300033513 x 115397525 x 60006731 x 48392565 x 230795155 x 96785325 x 46159403 x 37225775 x 193571489 x 100752015 x 7445
Negative: -1 x -15001675-5 x -3000335-13 x -1153975-25 x -600067-31 x -483925-65 x -230795-155 x -96785-325 x -46159-403 x -37225-775 x -19357-1489 x -10075-2015 x -7445


How do I find the factor combinations of the number 15,001,675?

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 15,001,675, 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 15,001,675
-1 -15,001,675

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 15,001,675.

Example:
1 x 15,001,675 = 15,001,675
and
-1 x -15,001,675 = 15,001,675
Notice both answers equal 15,001,675

With that explanation out of the way, let's continue. Next, we take the number 15,001,675 and divide it by 2:

15,001,675 ÷ 2 = 7,500,837.5

If the quotient is a whole number, then 2 and 7,500,837.5 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 15,001,675
-1 -15,001,675

Now, we try dividing 15,001,675 by 3:

15,001,675 ÷ 3 = 5,000,558.3333

If the quotient is a whole number, then 3 and 5,000,558.3333 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 15,001,675
-1 -15,001,675

Let's try dividing by 4:

15,001,675 ÷ 4 = 3,750,418.75

If the quotient is a whole number, then 4 and 3,750,418.75 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 15,001,675
-1 15,001,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15132531651553254037751,4892,0157,44510,07519,35737,22546,15996,785230,795483,925600,0671,153,9753,000,33515,001,675
-1-5-13-25-31-65-155-325-403-775-1,489-2,015-7,445-10,075-19,357-37,225-46,159-96,785-230,795-483,925-600,067-1,153,975-3,000,335-15,001,675

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