Q: What are the factor combinations of the number 1,484,015?

 A:
Positive:   1 x 14840155 x 29680313 x 11415517 x 8729565 x 2283179 x 1878585 x 17459221 x 6715289 x 5135395 x 37571027 x 14451105 x 1343
Negative: -1 x -1484015-5 x -296803-13 x -114155-17 x -87295-65 x -22831-79 x -18785-85 x -17459-221 x -6715-289 x -5135-395 x -3757-1027 x -1445-1105 x -1343


How do I find the factor combinations of the number 1,484,015?

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 1,484,015, 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 1,484,015
-1 -1,484,015

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 1,484,015.

Example:
1 x 1,484,015 = 1,484,015
and
-1 x -1,484,015 = 1,484,015
Notice both answers equal 1,484,015

With that explanation out of the way, let's continue. Next, we take the number 1,484,015 and divide it by 2:

1,484,015 ÷ 2 = 742,007.5

If the quotient is a whole number, then 2 and 742,007.5 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 1,484,015
-1 -1,484,015

Now, we try dividing 1,484,015 by 3:

1,484,015 ÷ 3 = 494,671.6667

If the quotient is a whole number, then 3 and 494,671.6667 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 1,484,015
-1 -1,484,015

Let's try dividing by 4:

1,484,015 ÷ 4 = 371,003.75

If the quotient is a whole number, then 4 and 371,003.75 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 1,484,015
-1 1,484,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513176579852212893951,0271,1051,3431,4453,7575,1356,71517,45918,78522,83187,295114,155296,8031,484,015
-1-5-13-17-65-79-85-221-289-395-1,027-1,105-1,343-1,445-3,757-5,135-6,715-17,459-18,785-22,831-87,295-114,155-296,803-1,484,015

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