Q: What are the factor combinations of the number 1,588,225?

 A:
Positive:   1 x 15882255 x 31764517 x 9342525 x 6352937 x 4292585 x 18685101 x 15725185 x 8585425 x 3737505 x 3145629 x 2525925 x 1717
Negative: -1 x -1588225-5 x -317645-17 x -93425-25 x -63529-37 x -42925-85 x -18685-101 x -15725-185 x -8585-425 x -3737-505 x -3145-629 x -2525-925 x -1717


How do I find the factor combinations of the number 1,588,225?

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 1,588,225, 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 1,588,225
-1 -1,588,225

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 1,588,225.

Example:
1 x 1,588,225 = 1,588,225
and
-1 x -1,588,225 = 1,588,225
Notice both answers equal 1,588,225

With that explanation out of the way, let's continue. Next, we take the number 1,588,225 and divide it by 2:

1,588,225 ÷ 2 = 794,112.5

If the quotient is a whole number, then 2 and 794,112.5 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 1,588,225
-1 -1,588,225

Now, we try dividing 1,588,225 by 3:

1,588,225 ÷ 3 = 529,408.3333

If the quotient is a whole number, then 3 and 529,408.3333 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 1,588,225
-1 -1,588,225

Let's try dividing by 4:

1,588,225 ÷ 4 = 397,056.25

If the quotient is a whole number, then 4 and 397,056.25 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 1,588,225
-1 1,588,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15172537851011854255056299251,7172,5253,1453,7378,58515,72518,68542,92563,52993,425317,6451,588,225
-1-5-17-25-37-85-101-185-425-505-629-925-1,717-2,525-3,145-3,737-8,585-15,725-18,685-42,925-63,529-93,425-317,645-1,588,225

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