Q: What are the factor combinations of the number 377,011,225?

 A:
Positive:   1 x 3770112255 x 7540224525 x 15080449
Negative: -1 x -377011225-5 x -75402245-25 x -15080449


How do I find the factor combinations of the number 377,011,225?

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 377,011,225, 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.

1 377,011,225
-1 -377,011,225

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 377,011,225.

Example:
1 x 377,011,225 = 377,011,225
and
-1 x -377,011,225 = 377,011,225
Notice both answers equal 377,011,225

With that explanation out of the way, let's continue. Next, we take the number 377,011,225 and divide it by 2:

377,011,225 ÷ 2 = 188,505,612.5

If the quotient is a whole number, then 2 and 188,505,612.5 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:

1 377,011,225
-1 -377,011,225

Now, we try dividing 377,011,225 by 3:

377,011,225 ÷ 3 = 125,670,408.3333

If the quotient is a whole number, then 3 and 125,670,408.3333 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:

1 377,011,225
-1 -377,011,225

Let's try dividing by 4:

377,011,225 ÷ 4 = 94,252,806.25

If the quotient is a whole number, then 4 and 94,252,806.25 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:

1 377,011,225
-1 377,011,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152515,080,44975,402,245377,011,225
-1-5-25-15,080,449-75,402,245-377,011,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 377,011,225:


Ask a Question