Q: What are the factor combinations of the number 1,021,475?

 A:
Positive:   1 x 10214755 x 2042957 x 14592513 x 7857525 x 4085935 x 2918565 x 1571591 x 11225175 x 5837325 x 3143449 x 2275455 x 2245
Negative: -1 x -1021475-5 x -204295-7 x -145925-13 x -78575-25 x -40859-35 x -29185-65 x -15715-91 x -11225-175 x -5837-325 x -3143-449 x -2275-455 x -2245


How do I find the factor combinations of the number 1,021,475?

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 1,021,475, 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 1,021,475
-1 -1,021,475

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 1,021,475.

Example:
1 x 1,021,475 = 1,021,475
and
-1 x -1,021,475 = 1,021,475
Notice both answers equal 1,021,475

With that explanation out of the way, let's continue. Next, we take the number 1,021,475 and divide it by 2:

1,021,475 ÷ 2 = 510,737.5

If the quotient is a whole number, then 2 and 510,737.5 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 1,021,475
-1 -1,021,475

Now, we try dividing 1,021,475 by 3:

1,021,475 ÷ 3 = 340,491.6667

If the quotient is a whole number, then 3 and 340,491.6667 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 1,021,475
-1 -1,021,475

Let's try dividing by 4:

1,021,475 ÷ 4 = 255,368.75

If the quotient is a whole number, then 4 and 255,368.75 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 1,021,475
-1 1,021,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254494552,2452,2753,1435,83711,22515,71529,18540,85978,575145,925204,2951,021,475
-1-5-7-13-25-35-65-91-175-325-449-455-2,245-2,275-3,143-5,837-11,225-15,715-29,185-40,859-78,575-145,925-204,295-1,021,475

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