Q: What are the factor combinations of the number 104,001,635?

 A:
Positive:   1 x 1040016355 x 2080032737 x 281085553 x 1962295185 x 562171265 x 3924591961 x 530359805 x 10607
Negative: -1 x -104001635-5 x -20800327-37 x -2810855-53 x -1962295-185 x -562171-265 x -392459-1961 x -53035-9805 x -10607


How do I find the factor combinations of the number 104,001,635?

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 104,001,635, 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.

1 104,001,635
-1 -104,001,635

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 104,001,635.

Example:
1 x 104,001,635 = 104,001,635
and
-1 x -104,001,635 = 104,001,635
Notice both answers equal 104,001,635

With that explanation out of the way, let's continue. Next, we take the number 104,001,635 and divide it by 2:

104,001,635 ÷ 2 = 52,000,817.5

If the quotient is a whole number, then 2 and 52,000,817.5 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:

1 104,001,635
-1 -104,001,635

Now, we try dividing 104,001,635 by 3:

104,001,635 ÷ 3 = 34,667,211.6667

If the quotient is a whole number, then 3 and 34,667,211.6667 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:

1 104,001,635
-1 -104,001,635

Let's try dividing by 4:

104,001,635 ÷ 4 = 26,000,408.75

If the quotient is a whole number, then 4 and 26,000,408.75 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:

1 104,001,635
-1 104,001,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1537531852651,9619,80510,60753,035392,459562,1711,962,2952,810,85520,800,327104,001,635
-1-5-37-53-185-265-1,961-9,805-10,607-53,035-392,459-562,171-1,962,295-2,810,855-20,800,327-104,001,635

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