Q: What are the factor combinations of the number 342,925?

 A:
Positive:   1 x 3429255 x 6858511 x 3117525 x 1371729 x 1182543 x 797555 x 6235145 x 2365215 x 1595275 x 1247319 x 1075473 x 725
Negative: -1 x -342925-5 x -68585-11 x -31175-25 x -13717-29 x -11825-43 x -7975-55 x -6235-145 x -2365-215 x -1595-275 x -1247-319 x -1075-473 x -725


How do I find the factor combinations of the number 342,925?

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 342,925, 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.

1 342,925
-1 -342,925

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 342,925.

Example:
1 x 342,925 = 342,925
and
-1 x -342,925 = 342,925
Notice both answers equal 342,925

With that explanation out of the way, let's continue. Next, we take the number 342,925 and divide it by 2:

342,925 ÷ 2 = 171,462.5

If the quotient is a whole number, then 2 and 171,462.5 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:

1 342,925
-1 -342,925

Now, we try dividing 342,925 by 3:

342,925 ÷ 3 = 114,308.3333

If the quotient is a whole number, then 3 and 114,308.3333 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:

1 342,925
-1 -342,925

Let's try dividing by 4:

342,925 ÷ 4 = 85,731.25

If the quotient is a whole number, then 4 and 85,731.25 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:

1 342,925
-1 342,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1511252943551452152753194737251,0751,2471,5952,3656,2357,97511,82513,71731,17568,585342,925
-1-5-11-25-29-43-55-145-215-275-319-473-725-1,075-1,247-1,595-2,365-6,235-7,975-11,825-13,717-31,175-68,585-342,925

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