Q: What are the factor combinations of the number 4,944,731?

 A:
Positive:   1 x 494473111 x 44952119 x 26024959 x 83809209 x 23659401 x 12331649 x 76191121 x 4411
Negative: -1 x -4944731-11 x -449521-19 x -260249-59 x -83809-209 x -23659-401 x -12331-649 x -7619-1121 x -4411


How do I find the factor combinations of the number 4,944,731?

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 4,944,731, 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 4,944,731
-1 -4,944,731

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 4,944,731.

Example:
1 x 4,944,731 = 4,944,731
and
-1 x -4,944,731 = 4,944,731
Notice both answers equal 4,944,731

With that explanation out of the way, let's continue. Next, we take the number 4,944,731 and divide it by 2:

4,944,731 ÷ 2 = 2,472,365.5

If the quotient is a whole number, then 2 and 2,472,365.5 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 4,944,731
-1 -4,944,731

Now, we try dividing 4,944,731 by 3:

4,944,731 ÷ 3 = 1,648,243.6667

If the quotient is a whole number, then 3 and 1,648,243.6667 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 4,944,731
-1 -4,944,731

Let's try dividing by 4:

4,944,731 ÷ 4 = 1,236,182.75

If the quotient is a whole number, then 4 and 1,236,182.75 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 4,944,731
-1 4,944,731
Keep dividing by the next highest number until you cannot divide anymore.

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

11119592094016491,1214,4117,61912,33123,65983,809260,249449,5214,944,731
-1-11-19-59-209-401-649-1,121-4,411-7,619-12,331-23,659-83,809-260,249-449,521-4,944,731

More Examples

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