Q: What are the factor combinations of the number 152,002,543?

 A:
Positive:   1 x 1520025437 x 2171464911 x 1381841329 x 524146777 x 1974059203 x 748781319 x 4764972233 x 68071
Negative: -1 x -152002543-7 x -21714649-11 x -13818413-29 x -5241467-77 x -1974059-203 x -748781-319 x -476497-2233 x -68071


How do I find the factor combinations of the number 152,002,543?

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 152,002,543, 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.

1 152,002,543
-1 -152,002,543

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 152,002,543.

Example:
1 x 152,002,543 = 152,002,543
and
-1 x -152,002,543 = 152,002,543
Notice both answers equal 152,002,543

With that explanation out of the way, let's continue. Next, we take the number 152,002,543 and divide it by 2:

152,002,543 ÷ 2 = 76,001,271.5

If the quotient is a whole number, then 2 and 76,001,271.5 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:

1 152,002,543
-1 -152,002,543

Now, we try dividing 152,002,543 by 3:

152,002,543 ÷ 3 = 50,667,514.3333

If the quotient is a whole number, then 3 and 50,667,514.3333 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:

1 152,002,543
-1 -152,002,543

Let's try dividing by 4:

152,002,543 ÷ 4 = 38,000,635.75

If the quotient is a whole number, then 4 and 38,000,635.75 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:

1 152,002,543
-1 152,002,543
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,23368,071476,497748,7811,974,0595,241,46713,818,41321,714,649152,002,543
-1-7-11-29-77-203-319-2,233-68,071-476,497-748,781-1,974,059-5,241,467-13,818,413-21,714,649-152,002,543

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 152,002,543:


Ask a Question