Q: What are the factor combinations of the number 23,024,615?

 A:
Positive:   1 x 230246155 x 460492383 x 277405109 x 211235415 x 55481509 x 45235545 x 422472545 x 9047
Negative: -1 x -23024615-5 x -4604923-83 x -277405-109 x -211235-415 x -55481-509 x -45235-545 x -42247-2545 x -9047


How do I find the factor combinations of the number 23,024,615?

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 23,024,615, 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 23,024,615
-1 -23,024,615

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 23,024,615.

Example:
1 x 23,024,615 = 23,024,615
and
-1 x -23,024,615 = 23,024,615
Notice both answers equal 23,024,615

With that explanation out of the way, let's continue. Next, we take the number 23,024,615 and divide it by 2:

23,024,615 ÷ 2 = 11,512,307.5

If the quotient is a whole number, then 2 and 11,512,307.5 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 23,024,615
-1 -23,024,615

Now, we try dividing 23,024,615 by 3:

23,024,615 ÷ 3 = 7,674,871.6667

If the quotient is a whole number, then 3 and 7,674,871.6667 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 23,024,615
-1 -23,024,615

Let's try dividing by 4:

23,024,615 ÷ 4 = 5,756,153.75

If the quotient is a whole number, then 4 and 5,756,153.75 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 23,024,615
-1 23,024,615
Keep dividing by the next highest number until you cannot divide anymore.

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

15831094155095452,5459,04742,24745,23555,481211,235277,4054,604,92323,024,615
-1-5-83-109-415-509-545-2,545-9,047-42,247-45,235-55,481-211,235-277,405-4,604,923-23,024,615

More Examples

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