Q: What are the factor combinations of the number 2,946,995?

 A:
Positive:   1 x 29469955 x 58939919 x 15510567 x 4398595 x 31021335 x 8797463 x 63651273 x 2315
Negative: -1 x -2946995-5 x -589399-19 x -155105-67 x -43985-95 x -31021-335 x -8797-463 x -6365-1273 x -2315


How do I find the factor combinations of the number 2,946,995?

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 2,946,995, 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 2,946,995
-1 -2,946,995

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 2,946,995.

Example:
1 x 2,946,995 = 2,946,995
and
-1 x -2,946,995 = 2,946,995
Notice both answers equal 2,946,995

With that explanation out of the way, let's continue. Next, we take the number 2,946,995 and divide it by 2:

2,946,995 ÷ 2 = 1,473,497.5

If the quotient is a whole number, then 2 and 1,473,497.5 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 2,946,995
-1 -2,946,995

Now, we try dividing 2,946,995 by 3:

2,946,995 ÷ 3 = 982,331.6667

If the quotient is a whole number, then 3 and 982,331.6667 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 2,946,995
-1 -2,946,995

Let's try dividing by 4:

2,946,995 ÷ 4 = 736,748.75

If the quotient is a whole number, then 4 and 736,748.75 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 2,946,995
-1 2,946,995
Keep dividing by the next highest number until you cannot divide anymore.

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

151967953354631,2732,3156,3658,79731,02143,985155,105589,3992,946,995
-1-5-19-67-95-335-463-1,273-2,315-6,365-8,797-31,021-43,985-155,105-589,399-2,946,995

More Examples

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