Q: What are the factor combinations of the number 23,024,545?

 A:
Positive:   1 x 230245455 x 460490917 x 135438537 x 62228585 x 270877185 x 124457629 x 366053145 x 7321
Negative: -1 x -23024545-5 x -4604909-17 x -1354385-37 x -622285-85 x -270877-185 x -124457-629 x -36605-3145 x -7321


How do I find the factor combinations of the number 23,024,545?

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 23,024,545, 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 23,024,545
-1 -23,024,545

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 23,024,545.

Example:
1 x 23,024,545 = 23,024,545
and
-1 x -23,024,545 = 23,024,545
Notice both answers equal 23,024,545

With that explanation out of the way, let's continue. Next, we take the number 23,024,545 and divide it by 2:

23,024,545 ÷ 2 = 11,512,272.5

If the quotient is a whole number, then 2 and 11,512,272.5 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 23,024,545
-1 -23,024,545

Now, we try dividing 23,024,545 by 3:

23,024,545 ÷ 3 = 7,674,848.3333

If the quotient is a whole number, then 3 and 7,674,848.3333 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 23,024,545
-1 -23,024,545

Let's try dividing by 4:

23,024,545 ÷ 4 = 5,756,136.25

If the quotient is a whole number, then 4 and 5,756,136.25 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 23,024,545
-1 23,024,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151737851856293,1457,32136,605124,457270,877622,2851,354,3854,604,90923,024,545
-1-5-17-37-85-185-629-3,145-7,321-36,605-124,457-270,877-622,285-1,354,385-4,604,909-23,024,545

More Examples

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