Q: What are the factor combinations of the number 1,432,025?

 A:
Positive:   1 x 14320255 x 2864057 x 20457525 x 5728135 x 4091549 x 29225167 x 8575175 x 8183245 x 5845343 x 4175835 x 17151169 x 1225
Negative: -1 x -1432025-5 x -286405-7 x -204575-25 x -57281-35 x -40915-49 x -29225-167 x -8575-175 x -8183-245 x -5845-343 x -4175-835 x -1715-1169 x -1225


How do I find the factor combinations of the number 1,432,025?

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 1,432,025, 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 1,432,025
-1 -1,432,025

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 1,432,025.

Example:
1 x 1,432,025 = 1,432,025
and
-1 x -1,432,025 = 1,432,025
Notice both answers equal 1,432,025

With that explanation out of the way, let's continue. Next, we take the number 1,432,025 and divide it by 2:

1,432,025 ÷ 2 = 716,012.5

If the quotient is a whole number, then 2 and 716,012.5 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 1,432,025
-1 -1,432,025

Now, we try dividing 1,432,025 by 3:

1,432,025 ÷ 3 = 477,341.6667

If the quotient is a whole number, then 3 and 477,341.6667 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 1,432,025
-1 -1,432,025

Let's try dividing by 4:

1,432,025 ÷ 4 = 358,006.25

If the quotient is a whole number, then 4 and 358,006.25 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 1,432,025
-1 1,432,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491671752453438351,1691,2251,7154,1755,8458,1838,57529,22540,91557,281204,575286,4051,432,025
-1-5-7-25-35-49-167-175-245-343-835-1,169-1,225-1,715-4,175-5,845-8,183-8,575-29,225-40,915-57,281-204,575-286,405-1,432,025

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