Q: What are the factor combinations of the number 1,515,155?

 A:
Positive:   1 x 15151555 x 30303119 x 7974541 x 3695595 x 15949205 x 7391389 x 3895779 x 1945
Negative: -1 x -1515155-5 x -303031-19 x -79745-41 x -36955-95 x -15949-205 x -7391-389 x -3895-779 x -1945


How do I find the factor combinations of the number 1,515,155?

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 1,515,155, 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 1,515,155
-1 -1,515,155

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 1,515,155.

Example:
1 x 1,515,155 = 1,515,155
and
-1 x -1,515,155 = 1,515,155
Notice both answers equal 1,515,155

With that explanation out of the way, let's continue. Next, we take the number 1,515,155 and divide it by 2:

1,515,155 ÷ 2 = 757,577.5

If the quotient is a whole number, then 2 and 757,577.5 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 1,515,155
-1 -1,515,155

Now, we try dividing 1,515,155 by 3:

1,515,155 ÷ 3 = 505,051.6667

If the quotient is a whole number, then 3 and 505,051.6667 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 1,515,155
-1 -1,515,155

Let's try dividing by 4:

1,515,155 ÷ 4 = 378,788.75

If the quotient is a whole number, then 4 and 378,788.75 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 1,515,155
-1 1,515,155
Keep dividing by the next highest number until you cannot divide anymore.

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

151941952053897791,9453,8957,39115,94936,95579,745303,0311,515,155
-1-5-19-41-95-205-389-779-1,945-3,895-7,391-15,949-36,955-79,745-303,031-1,515,155

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