Q: What are the factor combinations of the number 341,462,615?

 A:
Positive:   1 x 3414626155 x 6829252313 x 2626635565 x 52532711163 x 2936054517 x 755955815 x 5872115119 x 22585
Negative: -1 x -341462615-5 x -68292523-13 x -26266355-65 x -5253271-1163 x -293605-4517 x -75595-5815 x -58721-15119 x -22585


How do I find the factor combinations of the number 341,462,615?

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 341,462,615, 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.

1 341,462,615
-1 -341,462,615

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 341,462,615.

Example:
1 x 341,462,615 = 341,462,615
and
-1 x -341,462,615 = 341,462,615
Notice both answers equal 341,462,615

With that explanation out of the way, let's continue. Next, we take the number 341,462,615 and divide it by 2:

341,462,615 ÷ 2 = 170,731,307.5

If the quotient is a whole number, then 2 and 170,731,307.5 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:

1 341,462,615
-1 -341,462,615

Now, we try dividing 341,462,615 by 3:

341,462,615 ÷ 3 = 113,820,871.6667

If the quotient is a whole number, then 3 and 113,820,871.6667 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:

1 341,462,615
-1 -341,462,615

Let's try dividing by 4:

341,462,615 ÷ 4 = 85,365,653.75

If the quotient is a whole number, then 4 and 85,365,653.75 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:

1 341,462,615
-1 341,462,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,1634,5175,81515,11922,58558,72175,595293,6055,253,27126,266,35568,292,523341,462,615
-1-5-13-65-1,163-4,517-5,815-15,119-22,585-58,721-75,595-293,605-5,253,271-26,266,355-68,292,523-341,462,615

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