Q: What are the factor combinations of the number 237,425,245?

 A:
Positive:   1 x 2374252455 x 47485049101 x 2350745505 x 470149
Negative: -1 x -237425245-5 x -47485049-101 x -2350745-505 x -470149


How do I find the factor combinations of the number 237,425,245?

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 237,425,245, 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.

1 237,425,245
-1 -237,425,245

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 237,425,245.

Example:
1 x 237,425,245 = 237,425,245
and
-1 x -237,425,245 = 237,425,245
Notice both answers equal 237,425,245

With that explanation out of the way, let's continue. Next, we take the number 237,425,245 and divide it by 2:

237,425,245 ÷ 2 = 118,712,622.5

If the quotient is a whole number, then 2 and 118,712,622.5 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:

1 237,425,245
-1 -237,425,245

Now, we try dividing 237,425,245 by 3:

237,425,245 ÷ 3 = 79,141,748.3333

If the quotient is a whole number, then 3 and 79,141,748.3333 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:

1 237,425,245
-1 -237,425,245

Let's try dividing by 4:

237,425,245 ÷ 4 = 59,356,311.25

If the quotient is a whole number, then 4 and 59,356,311.25 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:

1 237,425,245
-1 237,425,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15101505470,1492,350,74547,485,049237,425,245
-1-5-101-505-470,149-2,350,745-47,485,049-237,425,245

More Examples

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