Q: What are the factor combinations of the number 15,104,435?

 A:
Positive:   1 x 151044355 x 3020887103 x 146645139 x 108665211 x 71585515 x 29329695 x 217331055 x 14317
Negative: -1 x -15104435-5 x -3020887-103 x -146645-139 x -108665-211 x -71585-515 x -29329-695 x -21733-1055 x -14317


How do I find the factor combinations of the number 15,104,435?

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 15,104,435, 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 15,104,435
-1 -15,104,435

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 15,104,435.

Example:
1 x 15,104,435 = 15,104,435
and
-1 x -15,104,435 = 15,104,435
Notice both answers equal 15,104,435

With that explanation out of the way, let's continue. Next, we take the number 15,104,435 and divide it by 2:

15,104,435 ÷ 2 = 7,552,217.5

If the quotient is a whole number, then 2 and 7,552,217.5 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 15,104,435
-1 -15,104,435

Now, we try dividing 15,104,435 by 3:

15,104,435 ÷ 3 = 5,034,811.6667

If the quotient is a whole number, then 3 and 5,034,811.6667 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 15,104,435
-1 -15,104,435

Let's try dividing by 4:

15,104,435 ÷ 4 = 3,776,108.75

If the quotient is a whole number, then 4 and 3,776,108.75 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 15,104,435
-1 15,104,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151031392115156951,05514,31721,73329,32971,585108,665146,6453,020,88715,104,435
-1-5-103-139-211-515-695-1,055-14,317-21,733-29,329-71,585-108,665-146,645-3,020,887-15,104,435

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