Q: What are the factor combinations of the number 1,477,003?

 A:
Positive:   1 x 147700311 x 13427319 x 7773737 x 39919191 x 7733209 x 7067407 x 3629703 x 2101
Negative: -1 x -1477003-11 x -134273-19 x -77737-37 x -39919-191 x -7733-209 x -7067-407 x -3629-703 x -2101


How do I find the factor combinations of the number 1,477,003?

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 1,477,003, 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 1,477,003
-1 -1,477,003

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 1,477,003.

Example:
1 x 1,477,003 = 1,477,003
and
-1 x -1,477,003 = 1,477,003
Notice both answers equal 1,477,003

With that explanation out of the way, let's continue. Next, we take the number 1,477,003 and divide it by 2:

1,477,003 ÷ 2 = 738,501.5

If the quotient is a whole number, then 2 and 738,501.5 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 1,477,003
-1 -1,477,003

Now, we try dividing 1,477,003 by 3:

1,477,003 ÷ 3 = 492,334.3333

If the quotient is a whole number, then 3 and 492,334.3333 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 1,477,003
-1 -1,477,003

Let's try dividing by 4:

1,477,003 ÷ 4 = 369,250.75

If the quotient is a whole number, then 4 and 369,250.75 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 1,477,003
-1 1,477,003
Keep dividing by the next highest number until you cannot divide anymore.

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

11119371912094077032,1013,6297,0677,73339,91977,737134,2731,477,003
-1-11-19-37-191-209-407-703-2,101-3,629-7,067-7,733-39,919-77,737-134,273-1,477,003

More Examples

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