Q: What are the factor combinations of the number 152,431,231?

 A:
Positive:   1 x 15243123117 x 896654337 x 411976367 x 2275093629 x 2423391139 x 1338292479 x 614893617 x 42143
Negative: -1 x -152431231-17 x -8966543-37 x -4119763-67 x -2275093-629 x -242339-1139 x -133829-2479 x -61489-3617 x -42143


How do I find the factor combinations of the number 152,431,231?

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 152,431,231, 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.

1 152,431,231
-1 -152,431,231

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 152,431,231.

Example:
1 x 152,431,231 = 152,431,231
and
-1 x -152,431,231 = 152,431,231
Notice both answers equal 152,431,231

With that explanation out of the way, let's continue. Next, we take the number 152,431,231 and divide it by 2:

152,431,231 ÷ 2 = 76,215,615.5

If the quotient is a whole number, then 2 and 76,215,615.5 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:

1 152,431,231
-1 -152,431,231

Now, we try dividing 152,431,231 by 3:

152,431,231 ÷ 3 = 50,810,410.3333

If the quotient is a whole number, then 3 and 50,810,410.3333 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:

1 152,431,231
-1 -152,431,231

Let's try dividing by 4:

152,431,231 ÷ 4 = 38,107,807.75

If the quotient is a whole number, then 4 and 38,107,807.75 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:

1 152,431,231
-1 152,431,231
Keep dividing by the next highest number until you cannot divide anymore.

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

11737676291,1392,4793,61742,14361,489133,829242,3392,275,0934,119,7638,966,543152,431,231
-1-17-37-67-629-1,139-2,479-3,617-42,143-61,489-133,829-242,339-2,275,093-4,119,763-8,966,543-152,431,231

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 152,431,231:


Ask a Question