Q: What are the factor combinations of the number 104,114,615?

 A:
Positive:   1 x 1041146155 x 2082292311 x 946496555 x 18929931321 x 788151433 x 726556605 x 157637165 x 14531
Negative: -1 x -104114615-5 x -20822923-11 x -9464965-55 x -1892993-1321 x -78815-1433 x -72655-6605 x -15763-7165 x -14531


How do I find the factor combinations of the number 104,114,615?

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 104,114,615, 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.

1 104,114,615
-1 -104,114,615

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 104,114,615.

Example:
1 x 104,114,615 = 104,114,615
and
-1 x -104,114,615 = 104,114,615
Notice both answers equal 104,114,615

With that explanation out of the way, let's continue. Next, we take the number 104,114,615 and divide it by 2:

104,114,615 ÷ 2 = 52,057,307.5

If the quotient is a whole number, then 2 and 52,057,307.5 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:

1 104,114,615
-1 -104,114,615

Now, we try dividing 104,114,615 by 3:

104,114,615 ÷ 3 = 34,704,871.6667

If the quotient is a whole number, then 3 and 34,704,871.6667 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:

1 104,114,615
-1 -104,114,615

Let's try dividing by 4:

104,114,615 ÷ 4 = 26,028,653.75

If the quotient is a whole number, then 4 and 26,028,653.75 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:

1 104,114,615
-1 104,114,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,3211,4336,6057,16514,53115,76372,65578,8151,892,9939,464,96520,822,923104,114,615
-1-5-11-55-1,321-1,433-6,605-7,165-14,531-15,763-72,655-78,815-1,892,993-9,464,965-20,822,923-104,114,615

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