Q: What are the factor combinations of the number 155,235,125?

 A:
Positive:   1 x 1552351255 x 3104702525 x 620940547 x 3302875125 x 1241881235 x 6605751175 x 1321155875 x 26423
Negative: -1 x -155235125-5 x -31047025-25 x -6209405-47 x -3302875-125 x -1241881-235 x -660575-1175 x -132115-5875 x -26423


How do I find the factor combinations of the number 155,235,125?

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 155,235,125, 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.

1 155,235,125
-1 -155,235,125

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 155,235,125.

Example:
1 x 155,235,125 = 155,235,125
and
-1 x -155,235,125 = 155,235,125
Notice both answers equal 155,235,125

With that explanation out of the way, let's continue. Next, we take the number 155,235,125 and divide it by 2:

155,235,125 ÷ 2 = 77,617,562.5

If the quotient is a whole number, then 2 and 77,617,562.5 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:

1 155,235,125
-1 -155,235,125

Now, we try dividing 155,235,125 by 3:

155,235,125 ÷ 3 = 51,745,041.6667

If the quotient is a whole number, then 3 and 51,745,041.6667 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:

1 155,235,125
-1 -155,235,125

Let's try dividing by 4:

155,235,125 ÷ 4 = 38,808,781.25

If the quotient is a whole number, then 4 and 38,808,781.25 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:

1 155,235,125
-1 155,235,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471252351,1755,87526,423132,115660,5751,241,8813,302,8756,209,40531,047,025155,235,125
-1-5-25-47-125-235-1,175-5,875-26,423-132,115-660,575-1,241,881-3,302,875-6,209,405-31,047,025-155,235,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 155,235,125:


Ask a Question