Q: What are the factor combinations of the number 24,040,345?

 A:
Positive:   1 x 240403455 x 48080697 x 343433531 x 77549535 x 686867155 x 155099217 x 1107851085 x 22157
Negative: -1 x -24040345-5 x -4808069-7 x -3434335-31 x -775495-35 x -686867-155 x -155099-217 x -110785-1085 x -22157


How do I find the factor combinations of the number 24,040,345?

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 24,040,345, 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 24,040,345
-1 -24,040,345

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 24,040,345.

Example:
1 x 24,040,345 = 24,040,345
and
-1 x -24,040,345 = 24,040,345
Notice both answers equal 24,040,345

With that explanation out of the way, let's continue. Next, we take the number 24,040,345 and divide it by 2:

24,040,345 ÷ 2 = 12,020,172.5

If the quotient is a whole number, then 2 and 12,020,172.5 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 24,040,345
-1 -24,040,345

Now, we try dividing 24,040,345 by 3:

24,040,345 ÷ 3 = 8,013,448.3333

If the quotient is a whole number, then 3 and 8,013,448.3333 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 24,040,345
-1 -24,040,345

Let's try dividing by 4:

24,040,345 ÷ 4 = 6,010,086.25

If the quotient is a whole number, then 4 and 6,010,086.25 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 24,040,345
-1 24,040,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08522,157110,785155,099686,867775,4953,434,3354,808,06924,040,345
-1-5-7-31-35-155-217-1,085-22,157-110,785-155,099-686,867-775,495-3,434,335-4,808,069-24,040,345

More Examples

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