Q: What are the factor combinations of the number 23,003,045?

 A:
Positive:   1 x 230030455 x 460060913 x 176946565 x 353893227 x 1013351135 x 202671559 x 147552951 x 7795
Negative: -1 x -23003045-5 x -4600609-13 x -1769465-65 x -353893-227 x -101335-1135 x -20267-1559 x -14755-2951 x -7795


How do I find the factor combinations of the number 23,003,045?

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 23,003,045, 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 23,003,045
-1 -23,003,045

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 23,003,045.

Example:
1 x 23,003,045 = 23,003,045
and
-1 x -23,003,045 = 23,003,045
Notice both answers equal 23,003,045

With that explanation out of the way, let's continue. Next, we take the number 23,003,045 and divide it by 2:

23,003,045 ÷ 2 = 11,501,522.5

If the quotient is a whole number, then 2 and 11,501,522.5 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 23,003,045
-1 -23,003,045

Now, we try dividing 23,003,045 by 3:

23,003,045 ÷ 3 = 7,667,681.6667

If the quotient is a whole number, then 3 and 7,667,681.6667 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 23,003,045
-1 -23,003,045

Let's try dividing by 4:

23,003,045 ÷ 4 = 5,750,761.25

If the quotient is a whole number, then 4 and 5,750,761.25 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 23,003,045
-1 23,003,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652271,1351,5592,9517,79514,75520,267101,335353,8931,769,4654,600,60923,003,045
-1-5-13-65-227-1,135-1,559-2,951-7,795-14,755-20,267-101,335-353,893-1,769,465-4,600,609-23,003,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 23,003,045:


Ask a Question