Q: What are the factor combinations of the number 1,187,225?

 A:
Positive:   1 x 11872255 x 23744513 x 9132525 x 4748965 x 18265169 x 7025281 x 4225325 x 3653845 x 1405
Negative: -1 x -1187225-5 x -237445-13 x -91325-25 x -47489-65 x -18265-169 x -7025-281 x -4225-325 x -3653-845 x -1405


How do I find the factor combinations of the number 1,187,225?

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 1,187,225, 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 1,187,225
-1 -1,187,225

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 1,187,225.

Example:
1 x 1,187,225 = 1,187,225
and
-1 x -1,187,225 = 1,187,225
Notice both answers equal 1,187,225

With that explanation out of the way, let's continue. Next, we take the number 1,187,225 and divide it by 2:

1,187,225 ÷ 2 = 593,612.5

If the quotient is a whole number, then 2 and 593,612.5 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 1,187,225
-1 -1,187,225

Now, we try dividing 1,187,225 by 3:

1,187,225 ÷ 3 = 395,741.6667

If the quotient is a whole number, then 3 and 395,741.6667 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 1,187,225
-1 -1,187,225

Let's try dividing by 4:

1,187,225 ÷ 4 = 296,806.25

If the quotient is a whole number, then 4 and 296,806.25 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 1,187,225
-1 1,187,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651692813258451,4053,6534,2257,02518,26547,48991,325237,4451,187,225
-1-5-13-25-65-169-281-325-845-1,405-3,653-4,225-7,025-18,265-47,489-91,325-237,445-1,187,225

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