Q: What are the factor combinations of the number 142,241,453?

 A:
Positive:   1 x 14224145323 x 618441153 x 26838011219 x 116687
Negative: -1 x -142241453-23 x -6184411-53 x -2683801-1219 x -116687


How do I find the factor combinations of the number 142,241,453?

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 142,241,453, 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.

1 142,241,453
-1 -142,241,453

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 142,241,453.

Example:
1 x 142,241,453 = 142,241,453
and
-1 x -142,241,453 = 142,241,453
Notice both answers equal 142,241,453

With that explanation out of the way, let's continue. Next, we take the number 142,241,453 and divide it by 2:

142,241,453 ÷ 2 = 71,120,726.5

If the quotient is a whole number, then 2 and 71,120,726.5 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:

1 142,241,453
-1 -142,241,453

Now, we try dividing 142,241,453 by 3:

142,241,453 ÷ 3 = 47,413,817.6667

If the quotient is a whole number, then 3 and 47,413,817.6667 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:

1 142,241,453
-1 -142,241,453

Let's try dividing by 4:

142,241,453 ÷ 4 = 35,560,363.25

If the quotient is a whole number, then 4 and 35,560,363.25 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:

1 142,241,453
-1 142,241,453
Keep dividing by the next highest number until you cannot divide anymore.

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

123531,219116,6872,683,8016,184,411142,241,453
-1-23-53-1,219-116,687-2,683,801-6,184,411-142,241,453

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 142,241,453:


Ask a Question