Q: What are the factor combinations of the number 1,642,225?

 A:
Positive:   1 x 16422255 x 32844513 x 12632525 x 6568931 x 5297565 x 25265155 x 10595163 x 10075325 x 5053403 x 4075775 x 2119815 x 2015
Negative: -1 x -1642225-5 x -328445-13 x -126325-25 x -65689-31 x -52975-65 x -25265-155 x -10595-163 x -10075-325 x -5053-403 x -4075-775 x -2119-815 x -2015


How do I find the factor combinations of the number 1,642,225?

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 1,642,225, 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 1,642,225
-1 -1,642,225

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 1,642,225.

Example:
1 x 1,642,225 = 1,642,225
and
-1 x -1,642,225 = 1,642,225
Notice both answers equal 1,642,225

With that explanation out of the way, let's continue. Next, we take the number 1,642,225 and divide it by 2:

1,642,225 ÷ 2 = 821,112.5

If the quotient is a whole number, then 2 and 821,112.5 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 1,642,225
-1 -1,642,225

Now, we try dividing 1,642,225 by 3:

1,642,225 ÷ 3 = 547,408.3333

If the quotient is a whole number, then 3 and 547,408.3333 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 1,642,225
-1 -1,642,225

Let's try dividing by 4:

1,642,225 ÷ 4 = 410,556.25

If the quotient is a whole number, then 4 and 410,556.25 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 1,642,225
-1 1,642,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15132531651551633254037758152,0152,1194,0755,05310,07510,59525,26552,97565,689126,325328,4451,642,225
-1-5-13-25-31-65-155-163-325-403-775-815-2,015-2,119-4,075-5,053-10,075-10,595-25,265-52,975-65,689-126,325-328,445-1,642,225

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