Q: What are the factor combinations of the number 1,050,245?

 A:
Positive:   1 x 10502455 x 2100497 x 15003535 x 3000737 x 28385185 x 5677259 x 4055811 x 1295
Negative: -1 x -1050245-5 x -210049-7 x -150035-35 x -30007-37 x -28385-185 x -5677-259 x -4055-811 x -1295


How do I find the factor combinations of the number 1,050,245?

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 1,050,245, 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 1,050,245
-1 -1,050,245

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 1,050,245.

Example:
1 x 1,050,245 = 1,050,245
and
-1 x -1,050,245 = 1,050,245
Notice both answers equal 1,050,245

With that explanation out of the way, let's continue. Next, we take the number 1,050,245 and divide it by 2:

1,050,245 ÷ 2 = 525,122.5

If the quotient is a whole number, then 2 and 525,122.5 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 1,050,245
-1 -1,050,245

Now, we try dividing 1,050,245 by 3:

1,050,245 ÷ 3 = 350,081.6667

If the quotient is a whole number, then 3 and 350,081.6667 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 1,050,245
-1 -1,050,245

Let's try dividing by 4:

1,050,245 ÷ 4 = 262,561.25

If the quotient is a whole number, then 4 and 262,561.25 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 1,050,245
-1 1,050,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852598111,2954,0555,67728,38530,007150,035210,0491,050,245
-1-5-7-35-37-185-259-811-1,295-4,055-5,677-28,385-30,007-150,035-210,049-1,050,245

More Examples

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