Q: What are the factor combinations of the number 1,172,015?

 A:
Positive:   1 x 11720155 x 23440313 x 9015519 x 6168565 x 1803173 x 1605595 x 12337169 x 6935247 x 4745365 x 3211845 x 1387949 x 1235
Negative: -1 x -1172015-5 x -234403-13 x -90155-19 x -61685-65 x -18031-73 x -16055-95 x -12337-169 x -6935-247 x -4745-365 x -3211-845 x -1387-949 x -1235


How do I find the factor combinations of the number 1,172,015?

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 1,172,015, 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 1,172,015
-1 -1,172,015

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 1,172,015.

Example:
1 x 1,172,015 = 1,172,015
and
-1 x -1,172,015 = 1,172,015
Notice both answers equal 1,172,015

With that explanation out of the way, let's continue. Next, we take the number 1,172,015 and divide it by 2:

1,172,015 ÷ 2 = 586,007.5

If the quotient is a whole number, then 2 and 586,007.5 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 1,172,015
-1 -1,172,015

Now, we try dividing 1,172,015 by 3:

1,172,015 ÷ 3 = 390,671.6667

If the quotient is a whole number, then 3 and 390,671.6667 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 1,172,015
-1 -1,172,015

Let's try dividing by 4:

1,172,015 ÷ 4 = 293,003.75

If the quotient is a whole number, then 4 and 293,003.75 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 1,172,015
-1 1,172,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513196573951692473658459491,2351,3873,2114,7456,93512,33716,05518,03161,68590,155234,4031,172,015
-1-5-13-19-65-73-95-169-247-365-845-949-1,235-1,387-3,211-4,745-6,935-12,337-16,055-18,031-61,685-90,155-234,403-1,172,015

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