Q: What are the factor combinations of the number 142,304,399?

 A:
Positive:   1 x 14230439917 x 837084741 x 347083961 x 2332859697 x 2041671037 x 1372272501 x 568993347 x 42517
Negative: -1 x -142304399-17 x -8370847-41 x -3470839-61 x -2332859-697 x -204167-1037 x -137227-2501 x -56899-3347 x -42517


How do I find the factor combinations of the number 142,304,399?

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 142,304,399, 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.

1 142,304,399
-1 -142,304,399

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 142,304,399.

Example:
1 x 142,304,399 = 142,304,399
and
-1 x -142,304,399 = 142,304,399
Notice both answers equal 142,304,399

With that explanation out of the way, let's continue. Next, we take the number 142,304,399 and divide it by 2:

142,304,399 ÷ 2 = 71,152,199.5

If the quotient is a whole number, then 2 and 71,152,199.5 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:

1 142,304,399
-1 -142,304,399

Now, we try dividing 142,304,399 by 3:

142,304,399 ÷ 3 = 47,434,799.6667

If the quotient is a whole number, then 3 and 47,434,799.6667 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:

1 142,304,399
-1 -142,304,399

Let's try dividing by 4:

142,304,399 ÷ 4 = 35,576,099.75

If the quotient is a whole number, then 4 and 35,576,099.75 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:

1 142,304,399
-1 142,304,399
Keep dividing by the next highest number until you cannot divide anymore.

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

11741616971,0372,5013,34742,51756,899137,227204,1672,332,8593,470,8398,370,847142,304,399
-1-17-41-61-697-1,037-2,501-3,347-42,517-56,899-137,227-204,167-2,332,859-3,470,839-8,370,847-142,304,399

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 142,304,399:


Ask a Question