Q: What are the factor combinations of the number 1,024,709?

 A:
Positive:   1 x 10247097 x 14638717 x 6027779 x 12971109 x 9401119 x 8611553 x 1853763 x 1343
Negative: -1 x -1024709-7 x -146387-17 x -60277-79 x -12971-109 x -9401-119 x -8611-553 x -1853-763 x -1343


How do I find the factor combinations of the number 1,024,709?

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 1,024,709, 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 1,024,709
-1 -1,024,709

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 1,024,709.

Example:
1 x 1,024,709 = 1,024,709
and
-1 x -1,024,709 = 1,024,709
Notice both answers equal 1,024,709

With that explanation out of the way, let's continue. Next, we take the number 1,024,709 and divide it by 2:

1,024,709 ÷ 2 = 512,354.5

If the quotient is a whole number, then 2 and 512,354.5 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 1,024,709
-1 -1,024,709

Now, we try dividing 1,024,709 by 3:

1,024,709 ÷ 3 = 341,569.6667

If the quotient is a whole number, then 3 and 341,569.6667 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 1,024,709
-1 -1,024,709

Let's try dividing by 4:

1,024,709 ÷ 4 = 256,177.25

If the quotient is a whole number, then 4 and 256,177.25 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 1,024,709
-1 1,024,709
Keep dividing by the next highest number until you cannot divide anymore.

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

1717791091195537631,3431,8538,6119,40112,97160,277146,3871,024,709
-1-7-17-79-109-119-553-763-1,343-1,853-8,611-9,401-12,971-60,277-146,387-1,024,709

More Examples

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