Q: What are the factor combinations of the number 145,223,503?

 A:
Positive:   1 x 14522350317 x 854255929 x 5007707107 x 1357229493 x 2945711819 x 798372753 x 527513103 x 46801
Negative: -1 x -145223503-17 x -8542559-29 x -5007707-107 x -1357229-493 x -294571-1819 x -79837-2753 x -52751-3103 x -46801


How do I find the factor combinations of the number 145,223,503?

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 145,223,503, 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.

1 145,223,503
-1 -145,223,503

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 145,223,503.

Example:
1 x 145,223,503 = 145,223,503
and
-1 x -145,223,503 = 145,223,503
Notice both answers equal 145,223,503

With that explanation out of the way, let's continue. Next, we take the number 145,223,503 and divide it by 2:

145,223,503 ÷ 2 = 72,611,751.5

If the quotient is a whole number, then 2 and 72,611,751.5 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:

1 145,223,503
-1 -145,223,503

Now, we try dividing 145,223,503 by 3:

145,223,503 ÷ 3 = 48,407,834.3333

If the quotient is a whole number, then 3 and 48,407,834.3333 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:

1 145,223,503
-1 -145,223,503

Let's try dividing by 4:

145,223,503 ÷ 4 = 36,305,875.75

If the quotient is a whole number, then 4 and 36,305,875.75 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:

1 145,223,503
-1 145,223,503
Keep dividing by the next highest number until you cannot divide anymore.

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

117291074931,8192,7533,10346,80152,75179,837294,5711,357,2295,007,7078,542,559145,223,503
-1-17-29-107-493-1,819-2,753-3,103-46,801-52,751-79,837-294,571-1,357,229-5,007,707-8,542,559-145,223,503

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 145,223,503:


Ask a Question