Q: What are the factor combinations of the number 17,367,515?

 A:
Positive:   1 x 173675155 x 347350311 x 157886555 x 315773109 x 159335545 x 318671199 x 144852897 x 5995
Negative: -1 x -17367515-5 x -3473503-11 x -1578865-55 x -315773-109 x -159335-545 x -31867-1199 x -14485-2897 x -5995


How do I find the factor combinations of the number 17,367,515?

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 17,367,515, 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 17,367,515
-1 -17,367,515

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 17,367,515.

Example:
1 x 17,367,515 = 17,367,515
and
-1 x -17,367,515 = 17,367,515
Notice both answers equal 17,367,515

With that explanation out of the way, let's continue. Next, we take the number 17,367,515 and divide it by 2:

17,367,515 ÷ 2 = 8,683,757.5

If the quotient is a whole number, then 2 and 8,683,757.5 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 17,367,515
-1 -17,367,515

Now, we try dividing 17,367,515 by 3:

17,367,515 ÷ 3 = 5,789,171.6667

If the quotient is a whole number, then 3 and 5,789,171.6667 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 17,367,515
-1 -17,367,515

Let's try dividing by 4:

17,367,515 ÷ 4 = 4,341,878.75

If the quotient is a whole number, then 4 and 4,341,878.75 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 17,367,515
-1 17,367,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551095451,1992,8975,99514,48531,867159,335315,7731,578,8653,473,50317,367,515
-1-5-11-55-109-545-1,199-2,897-5,995-14,485-31,867-159,335-315,773-1,578,865-3,473,503-17,367,515

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