Q: What are the factor combinations of the number 15,107,155?

 A:
Positive:   1 x 151071555 x 30214317 x 215816535 x 431633653 x 23135661 x 228553265 x 46273305 x 4571
Negative: -1 x -15107155-5 x -3021431-7 x -2158165-35 x -431633-653 x -23135-661 x -22855-3265 x -4627-3305 x -4571


How do I find the factor combinations of the number 15,107,155?

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 15,107,155, 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 15,107,155
-1 -15,107,155

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 15,107,155.

Example:
1 x 15,107,155 = 15,107,155
and
-1 x -15,107,155 = 15,107,155
Notice both answers equal 15,107,155

With that explanation out of the way, let's continue. Next, we take the number 15,107,155 and divide it by 2:

15,107,155 ÷ 2 = 7,553,577.5

If the quotient is a whole number, then 2 and 7,553,577.5 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 15,107,155
-1 -15,107,155

Now, we try dividing 15,107,155 by 3:

15,107,155 ÷ 3 = 5,035,718.3333

If the quotient is a whole number, then 3 and 5,035,718.3333 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 15,107,155
-1 -15,107,155

Let's try dividing by 4:

15,107,155 ÷ 4 = 3,776,788.75

If the quotient is a whole number, then 4 and 3,776,788.75 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 15,107,155
-1 15,107,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157356536613,2653,3054,5714,62722,85523,135431,6332,158,1653,021,43115,107,155
-1-5-7-35-653-661-3,265-3,305-4,571-4,627-22,855-23,135-431,633-2,158,165-3,021,431-15,107,155

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