Q: What are the factor combinations of the number 17,014,487?

 A:
Positive:   1 x 170144877 x 243064137 x 459851179 x 95053259 x 65693367 x 463611253 x 135792569 x 6623
Negative: -1 x -17014487-7 x -2430641-37 x -459851-179 x -95053-259 x -65693-367 x -46361-1253 x -13579-2569 x -6623


How do I find the factor combinations of the number 17,014,487?

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 17,014,487, 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 17,014,487
-1 -17,014,487

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 17,014,487.

Example:
1 x 17,014,487 = 17,014,487
and
-1 x -17,014,487 = 17,014,487
Notice both answers equal 17,014,487

With that explanation out of the way, let's continue. Next, we take the number 17,014,487 and divide it by 2:

17,014,487 ÷ 2 = 8,507,243.5

If the quotient is a whole number, then 2 and 8,507,243.5 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 17,014,487
-1 -17,014,487

Now, we try dividing 17,014,487 by 3:

17,014,487 ÷ 3 = 5,671,495.6667

If the quotient is a whole number, then 3 and 5,671,495.6667 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 17,014,487
-1 -17,014,487

Let's try dividing by 4:

17,014,487 ÷ 4 = 4,253,621.75

If the quotient is a whole number, then 4 and 4,253,621.75 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 17,014,487
-1 17,014,487
Keep dividing by the next highest number until you cannot divide anymore.

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

17371792593671,2532,5696,62313,57946,36165,69395,053459,8512,430,64117,014,487
-1-7-37-179-259-367-1,253-2,569-6,623-13,579-46,361-65,693-95,053-459,851-2,430,641-17,014,487

More Examples

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