Q: What are the factor combinations of the number 1,004,575?

 A:
Positive:   1 x 10045755 x 20091511 x 9132513 x 7727525 x 4018355 x 1826565 x 15455143 x 7025275 x 3653281 x 3575325 x 3091715 x 1405
Negative: -1 x -1004575-5 x -200915-11 x -91325-13 x -77275-25 x -40183-55 x -18265-65 x -15455-143 x -7025-275 x -3653-281 x -3575-325 x -3091-715 x -1405


How do I find the factor combinations of the number 1,004,575?

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 1,004,575, 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 1,004,575
-1 -1,004,575

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 1,004,575.

Example:
1 x 1,004,575 = 1,004,575
and
-1 x -1,004,575 = 1,004,575
Notice both answers equal 1,004,575

With that explanation out of the way, let's continue. Next, we take the number 1,004,575 and divide it by 2:

1,004,575 ÷ 2 = 502,287.5

If the quotient is a whole number, then 2 and 502,287.5 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 1,004,575
-1 -1,004,575

Now, we try dividing 1,004,575 by 3:

1,004,575 ÷ 3 = 334,858.3333

If the quotient is a whole number, then 3 and 334,858.3333 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 1,004,575
-1 -1,004,575

Let's try dividing by 4:

1,004,575 ÷ 4 = 251,143.75

If the quotient is a whole number, then 4 and 251,143.75 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 1,004,575
-1 1,004,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432752813257151,4053,0913,5753,6537,02515,45518,26540,18377,27591,325200,9151,004,575
-1-5-11-13-25-55-65-143-275-281-325-715-1,405-3,091-3,575-3,653-7,025-15,455-18,265-40,183-77,275-91,325-200,915-1,004,575

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