Q: What are the factor combinations of the number 1,542,325?

 A:
Positive:   1 x 15423255 x 30846517 x 9072519 x 8117525 x 6169385 x 1814595 x 16235191 x 8075323 x 4775425 x 3629475 x 3247955 x 1615
Negative: -1 x -1542325-5 x -308465-17 x -90725-19 x -81175-25 x -61693-85 x -18145-95 x -16235-191 x -8075-323 x -4775-425 x -3629-475 x -3247-955 x -1615


How do I find the factor combinations of the number 1,542,325?

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 1,542,325, 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 1,542,325
-1 -1,542,325

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 1,542,325.

Example:
1 x 1,542,325 = 1,542,325
and
-1 x -1,542,325 = 1,542,325
Notice both answers equal 1,542,325

With that explanation out of the way, let's continue. Next, we take the number 1,542,325 and divide it by 2:

1,542,325 ÷ 2 = 771,162.5

If the quotient is a whole number, then 2 and 771,162.5 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 1,542,325
-1 -1,542,325

Now, we try dividing 1,542,325 by 3:

1,542,325 ÷ 3 = 514,108.3333

If the quotient is a whole number, then 3 and 514,108.3333 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 1,542,325
-1 -1,542,325

Let's try dividing by 4:

1,542,325 ÷ 4 = 385,581.25

If the quotient is a whole number, then 4 and 385,581.25 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 1,542,325
-1 1,542,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1517192585951913234254759551,6153,2473,6294,7758,07516,23518,14561,69381,17590,725308,4651,542,325
-1-5-17-19-25-85-95-191-323-425-475-955-1,615-3,247-3,629-4,775-8,075-16,235-18,145-61,693-81,175-90,725-308,465-1,542,325

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