Q: What are the factor combinations of the number 1,144,015?

 A:
Positive:   1 x 11440155 x 22880317 x 6729543 x 2660585 x 13459215 x 5321313 x 3655731 x 1565
Negative: -1 x -1144015-5 x -228803-17 x -67295-43 x -26605-85 x -13459-215 x -5321-313 x -3655-731 x -1565


How do I find the factor combinations of the number 1,144,015?

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 1,144,015, 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 1,144,015
-1 -1,144,015

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 1,144,015.

Example:
1 x 1,144,015 = 1,144,015
and
-1 x -1,144,015 = 1,144,015
Notice both answers equal 1,144,015

With that explanation out of the way, let's continue. Next, we take the number 1,144,015 and divide it by 2:

1,144,015 ÷ 2 = 572,007.5

If the quotient is a whole number, then 2 and 572,007.5 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 1,144,015
-1 -1,144,015

Now, we try dividing 1,144,015 by 3:

1,144,015 ÷ 3 = 381,338.3333

If the quotient is a whole number, then 3 and 381,338.3333 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 1,144,015
-1 -1,144,015

Let's try dividing by 4:

1,144,015 ÷ 4 = 286,003.75

If the quotient is a whole number, then 4 and 286,003.75 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 1,144,015
-1 1,144,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151743852153137311,5653,6555,32113,45926,60567,295228,8031,144,015
-1-5-17-43-85-215-313-731-1,565-3,655-5,321-13,459-26,605-67,295-228,803-1,144,015

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