Q: What are the factor combinations of the number 45,120,235?

 A:
Positive:   1 x 451202355 x 902404747 x 960005101 x 446735235 x 192001505 x 893471901 x 237354747 x 9505
Negative: -1 x -45120235-5 x -9024047-47 x -960005-101 x -446735-235 x -192001-505 x -89347-1901 x -23735-4747 x -9505


How do I find the factor combinations of the number 45,120,235?

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 45,120,235, 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 45,120,235
-1 -45,120,235

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 45,120,235.

Example:
1 x 45,120,235 = 45,120,235
and
-1 x -45,120,235 = 45,120,235
Notice both answers equal 45,120,235

With that explanation out of the way, let's continue. Next, we take the number 45,120,235 and divide it by 2:

45,120,235 ÷ 2 = 22,560,117.5

If the quotient is a whole number, then 2 and 22,560,117.5 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 45,120,235
-1 -45,120,235

Now, we try dividing 45,120,235 by 3:

45,120,235 ÷ 3 = 15,040,078.3333

If the quotient is a whole number, then 3 and 15,040,078.3333 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 45,120,235
-1 -45,120,235

Let's try dividing by 4:

45,120,235 ÷ 4 = 11,280,058.75

If the quotient is a whole number, then 4 and 11,280,058.75 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 45,120,235
-1 45,120,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15471012355051,9014,7479,50523,73589,347192,001446,735960,0059,024,04745,120,235
-1-5-47-101-235-505-1,901-4,747-9,505-23,735-89,347-192,001-446,735-960,005-9,024,047-45,120,235

More Examples

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