Q: What are the factor combinations of the number 342,040,025?

 A:
Positive:   1 x 3420400255 x 6840800525 x 1368160137 x 924432567 x 5105075185 x 1848865335 x 1021015925 x 3697731675 x 2042032479 x 1379755519 x 6197512395 x 27595
Negative: -1 x -342040025-5 x -68408005-25 x -13681601-37 x -9244325-67 x -5105075-185 x -1848865-335 x -1021015-925 x -369773-1675 x -204203-2479 x -137975-5519 x -61975-12395 x -27595


How do I find the factor combinations of the number 342,040,025?

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 342,040,025, 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.

1 342,040,025
-1 -342,040,025

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 342,040,025.

Example:
1 x 342,040,025 = 342,040,025
and
-1 x -342,040,025 = 342,040,025
Notice both answers equal 342,040,025

With that explanation out of the way, let's continue. Next, we take the number 342,040,025 and divide it by 2:

342,040,025 ÷ 2 = 171,020,012.5

If the quotient is a whole number, then 2 and 171,020,012.5 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:

1 342,040,025
-1 -342,040,025

Now, we try dividing 342,040,025 by 3:

342,040,025 ÷ 3 = 114,013,341.6667

If the quotient is a whole number, then 3 and 114,013,341.6667 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:

1 342,040,025
-1 -342,040,025

Let's try dividing by 4:

342,040,025 ÷ 4 = 85,510,006.25

If the quotient is a whole number, then 4 and 85,510,006.25 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:

1 342,040,025
-1 342,040,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152537671853359251,6752,4795,51912,39527,59561,975137,975204,203369,7731,021,0151,848,8655,105,0759,244,32513,681,60168,408,005342,040,025
-1-5-25-37-67-185-335-925-1,675-2,479-5,519-12,395-27,595-61,975-137,975-204,203-369,773-1,021,015-1,848,865-5,105,075-9,244,325-13,681,601-68,408,005-342,040,025

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