Q: What are the factor combinations of the number 1,421,675?

 A:
Positive:   1 x 14216755 x 28433519 x 7482525 x 5686741 x 3467573 x 1947595 x 14965205 x 6935365 x 3895475 x 2993779 x 18251025 x 1387
Negative: -1 x -1421675-5 x -284335-19 x -74825-25 x -56867-41 x -34675-73 x -19475-95 x -14965-205 x -6935-365 x -3895-475 x -2993-779 x -1825-1025 x -1387


How do I find the factor combinations of the number 1,421,675?

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 1,421,675, 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 1,421,675
-1 -1,421,675

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 1,421,675.

Example:
1 x 1,421,675 = 1,421,675
and
-1 x -1,421,675 = 1,421,675
Notice both answers equal 1,421,675

With that explanation out of the way, let's continue. Next, we take the number 1,421,675 and divide it by 2:

1,421,675 ÷ 2 = 710,837.5

If the quotient is a whole number, then 2 and 710,837.5 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 1,421,675
-1 -1,421,675

Now, we try dividing 1,421,675 by 3:

1,421,675 ÷ 3 = 473,891.6667

If the quotient is a whole number, then 3 and 473,891.6667 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 1,421,675
-1 -1,421,675

Let's try dividing by 4:

1,421,675 ÷ 4 = 355,418.75

If the quotient is a whole number, then 4 and 355,418.75 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 1,421,675
-1 1,421,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1519254173952053654757791,0251,3871,8252,9933,8956,93514,96519,47534,67556,86774,825284,3351,421,675
-1-5-19-25-41-73-95-205-365-475-779-1,025-1,387-1,825-2,993-3,895-6,935-14,965-19,475-34,675-56,867-74,825-284,335-1,421,675

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