Q: What are the factor combinations of the number 1,558,025?

 A:
Positive:   1 x 15580255 x 3116057 x 22257525 x 6232129 x 5372535 x 44515145 x 10745175 x 8903203 x 7675307 x 5075725 x 21491015 x 1535
Negative: -1 x -1558025-5 x -311605-7 x -222575-25 x -62321-29 x -53725-35 x -44515-145 x -10745-175 x -8903-203 x -7675-307 x -5075-725 x -2149-1015 x -1535


How do I find the factor combinations of the number 1,558,025?

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 1,558,025, 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 1,558,025
-1 -1,558,025

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 1,558,025.

Example:
1 x 1,558,025 = 1,558,025
and
-1 x -1,558,025 = 1,558,025
Notice both answers equal 1,558,025

With that explanation out of the way, let's continue. Next, we take the number 1,558,025 and divide it by 2:

1,558,025 ÷ 2 = 779,012.5

If the quotient is a whole number, then 2 and 779,012.5 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 1,558,025
-1 -1,558,025

Now, we try dividing 1,558,025 by 3:

1,558,025 ÷ 3 = 519,341.6667

If the quotient is a whole number, then 3 and 519,341.6667 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 1,558,025
-1 -1,558,025

Let's try dividing by 4:

1,558,025 ÷ 4 = 389,506.25

If the quotient is a whole number, then 4 and 389,506.25 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 1,558,025
-1 1,558,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572529351451752033077251,0151,5352,1495,0757,6758,90310,74544,51553,72562,321222,575311,6051,558,025
-1-5-7-25-29-35-145-175-203-307-725-1,015-1,535-2,149-5,075-7,675-8,903-10,745-44,515-53,725-62,321-222,575-311,605-1,558,025

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