Q: What are the factor combinations of the number 1,469,479?

 A:
Positive:   1 x 146947911 x 13358919 x 7734179 x 1860189 x 16511209 x 7031869 x 1691979 x 1501
Negative: -1 x -1469479-11 x -133589-19 x -77341-79 x -18601-89 x -16511-209 x -7031-869 x -1691-979 x -1501


How do I find the factor combinations of the number 1,469,479?

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 1,469,479, 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 1,469,479
-1 -1,469,479

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 1,469,479.

Example:
1 x 1,469,479 = 1,469,479
and
-1 x -1,469,479 = 1,469,479
Notice both answers equal 1,469,479

With that explanation out of the way, let's continue. Next, we take the number 1,469,479 and divide it by 2:

1,469,479 ÷ 2 = 734,739.5

If the quotient is a whole number, then 2 and 734,739.5 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 1,469,479
-1 -1,469,479

Now, we try dividing 1,469,479 by 3:

1,469,479 ÷ 3 = 489,826.3333

If the quotient is a whole number, then 3 and 489,826.3333 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 1,469,479
-1 -1,469,479

Let's try dividing by 4:

1,469,479 ÷ 4 = 367,369.75

If the quotient is a whole number, then 4 and 367,369.75 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 1,469,479
-1 1,469,479
Keep dividing by the next highest number until you cannot divide anymore.

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

1111979892098699791,5011,6917,03116,51118,60177,341133,5891,469,479
-1-11-19-79-89-209-869-979-1,501-1,691-7,031-16,511-18,601-77,341-133,589-1,469,479

More Examples

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