Q: What are the factor combinations of the number 1,225,385?

 A:
Positive:   1 x 12253855 x 2450777 x 17505535 x 35011157 x 7805223 x 5495785 x 15611099 x 1115
Negative: -1 x -1225385-5 x -245077-7 x -175055-35 x -35011-157 x -7805-223 x -5495-785 x -1561-1099 x -1115


How do I find the factor combinations of the number 1,225,385?

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 1,225,385, 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 1,225,385
-1 -1,225,385

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 1,225,385.

Example:
1 x 1,225,385 = 1,225,385
and
-1 x -1,225,385 = 1,225,385
Notice both answers equal 1,225,385

With that explanation out of the way, let's continue. Next, we take the number 1,225,385 and divide it by 2:

1,225,385 ÷ 2 = 612,692.5

If the quotient is a whole number, then 2 and 612,692.5 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 1,225,385
-1 -1,225,385

Now, we try dividing 1,225,385 by 3:

1,225,385 ÷ 3 = 408,461.6667

If the quotient is a whole number, then 3 and 408,461.6667 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 1,225,385
-1 -1,225,385

Let's try dividing by 4:

1,225,385 ÷ 4 = 306,346.25

If the quotient is a whole number, then 4 and 306,346.25 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 1,225,385
-1 1,225,385
Keep dividing by the next highest number until you cannot divide anymore.

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

157351572237851,0991,1151,5615,4957,80535,011175,055245,0771,225,385
-1-5-7-35-157-223-785-1,099-1,115-1,561-5,495-7,805-35,011-175,055-245,077-1,225,385

More Examples

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