Q: What are the factor combinations of the number 1,179,001?

 A:
Positive:   1 x 117900117 x 69353223 x 5287311 x 3791
Negative: -1 x -1179001-17 x -69353-223 x -5287-311 x -3791


How do I find the factor combinations of the number 1,179,001?

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 1,179,001, 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 1,179,001
-1 -1,179,001

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 1,179,001.

Example:
1 x 1,179,001 = 1,179,001
and
-1 x -1,179,001 = 1,179,001
Notice both answers equal 1,179,001

With that explanation out of the way, let's continue. Next, we take the number 1,179,001 and divide it by 2:

1,179,001 ÷ 2 = 589,500.5

If the quotient is a whole number, then 2 and 589,500.5 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 1,179,001
-1 -1,179,001

Now, we try dividing 1,179,001 by 3:

1,179,001 ÷ 3 = 393,000.3333

If the quotient is a whole number, then 3 and 393,000.3333 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 1,179,001
-1 -1,179,001

Let's try dividing by 4:

1,179,001 ÷ 4 = 294,750.25

If the quotient is a whole number, then 4 and 294,750.25 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 1,179,001
-1 1,179,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1172233113,7915,28769,3531,179,001
-1-17-223-311-3,791-5,287-69,353-1,179,001

More Examples

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