Q: What are the factor combinations of the number 104,531,401?

 A:
Positive:   1 x 10453140113 x 804087737 x 282517373 x 1431937169 x 618529229 x 456469481 x 217321949 x 1101492701 x 387012977 x 351136253 x 167178473 x 12337
Negative: -1 x -104531401-13 x -8040877-37 x -2825173-73 x -1431937-169 x -618529-229 x -456469-481 x -217321-949 x -110149-2701 x -38701-2977 x -35113-6253 x -16717-8473 x -12337


How do I find the factor combinations of the number 104,531,401?

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 104,531,401, 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.

1 104,531,401
-1 -104,531,401

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 104,531,401.

Example:
1 x 104,531,401 = 104,531,401
and
-1 x -104,531,401 = 104,531,401
Notice both answers equal 104,531,401

With that explanation out of the way, let's continue. Next, we take the number 104,531,401 and divide it by 2:

104,531,401 ÷ 2 = 52,265,700.5

If the quotient is a whole number, then 2 and 52,265,700.5 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:

1 104,531,401
-1 -104,531,401

Now, we try dividing 104,531,401 by 3:

104,531,401 ÷ 3 = 34,843,800.3333

If the quotient is a whole number, then 3 and 34,843,800.3333 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:

1 104,531,401
-1 -104,531,401

Let's try dividing by 4:

104,531,401 ÷ 4 = 26,132,850.25

If the quotient is a whole number, then 4 and 26,132,850.25 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:

1 104,531,401
-1 104,531,401
Keep dividing by the next highest number until you cannot divide anymore.

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

11337731692294819492,7012,9776,2538,47312,33716,71735,11338,701110,149217,321456,469618,5291,431,9372,825,1738,040,877104,531,401
-1-13-37-73-169-229-481-949-2,701-2,977-6,253-8,473-12,337-16,717-35,113-38,701-110,149-217,321-456,469-618,529-1,431,937-2,825,173-8,040,877-104,531,401

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