Q: What are the factor combinations of the number 42,404,065?

 A:
Positive:   1 x 424040655 x 848081311 x 385491523 x 184365555 x 770983115 x 368731253 x 1676051265 x 33521
Negative: -1 x -42404065-5 x -8480813-11 x -3854915-23 x -1843655-55 x -770983-115 x -368731-253 x -167605-1265 x -33521


How do I find the factor combinations of the number 42,404,065?

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 42,404,065, 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 42,404,065
-1 -42,404,065

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 42,404,065.

Example:
1 x 42,404,065 = 42,404,065
and
-1 x -42,404,065 = 42,404,065
Notice both answers equal 42,404,065

With that explanation out of the way, let's continue. Next, we take the number 42,404,065 and divide it by 2:

42,404,065 ÷ 2 = 21,202,032.5

If the quotient is a whole number, then 2 and 21,202,032.5 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 42,404,065
-1 -42,404,065

Now, we try dividing 42,404,065 by 3:

42,404,065 ÷ 3 = 14,134,688.3333

If the quotient is a whole number, then 3 and 14,134,688.3333 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 42,404,065
-1 -42,404,065

Let's try dividing by 4:

42,404,065 ÷ 4 = 10,601,016.25

If the quotient is a whole number, then 4 and 10,601,016.25 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 42,404,065
-1 42,404,065
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26533,521167,605368,731770,9831,843,6553,854,9158,480,81342,404,065
-1-5-11-23-55-115-253-1,265-33,521-167,605-368,731-770,983-1,843,655-3,854,915-8,480,813-42,404,065

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