Q: What are the factor combinations of the number 425,311,045?

 A:
Positive:   1 x 4253110455 x 850622099029 x 471059421 x 45145
Negative: -1 x -425311045-5 x -85062209-9029 x -47105-9421 x -45145


How do I find the factor combinations of the number 425,311,045?

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 425,311,045, 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.

1 425,311,045
-1 -425,311,045

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 425,311,045.

Example:
1 x 425,311,045 = 425,311,045
and
-1 x -425,311,045 = 425,311,045
Notice both answers equal 425,311,045

With that explanation out of the way, let's continue. Next, we take the number 425,311,045 and divide it by 2:

425,311,045 ÷ 2 = 212,655,522.5

If the quotient is a whole number, then 2 and 212,655,522.5 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:

1 425,311,045
-1 -425,311,045

Now, we try dividing 425,311,045 by 3:

425,311,045 ÷ 3 = 141,770,348.3333

If the quotient is a whole number, then 3 and 141,770,348.3333 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:

1 425,311,045
-1 -425,311,045

Let's try dividing by 4:

425,311,045 ÷ 4 = 106,327,761.25

If the quotient is a whole number, then 4 and 106,327,761.25 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:

1 425,311,045
-1 425,311,045
Keep dividing by the next highest number until you cannot divide anymore.

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

159,0299,42145,14547,10585,062,209425,311,045
-1-5-9,029-9,421-45,145-47,105-85,062,209-425,311,045

More Examples

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