Q: What are the factor combinations of the number 425,350,145?

 A:
Positive:   1 x 4253501455 x 8507002911 x 3866819555 x 7733639107 x 3975235535 x 7950471177 x 3613855885 x 72277
Negative: -1 x -425350145-5 x -85070029-11 x -38668195-55 x -7733639-107 x -3975235-535 x -795047-1177 x -361385-5885 x -72277


How do I find the factor combinations of the number 425,350,145?

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 425,350,145, 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.

1 425,350,145
-1 -425,350,145

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 425,350,145.

Example:
1 x 425,350,145 = 425,350,145
and
-1 x -425,350,145 = 425,350,145
Notice both answers equal 425,350,145

With that explanation out of the way, let's continue. Next, we take the number 425,350,145 and divide it by 2:

425,350,145 ÷ 2 = 212,675,072.5

If the quotient is a whole number, then 2 and 212,675,072.5 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:

1 425,350,145
-1 -425,350,145

Now, we try dividing 425,350,145 by 3:

425,350,145 ÷ 3 = 141,783,381.6667

If the quotient is a whole number, then 3 and 141,783,381.6667 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:

1 425,350,145
-1 -425,350,145

Let's try dividing by 4:

425,350,145 ÷ 4 = 106,337,536.25

If the quotient is a whole number, then 4 and 106,337,536.25 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:

1 425,350,145
-1 425,350,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551075351,1775,88572,277361,385795,0473,975,2357,733,63938,668,19585,070,029425,350,145
-1-5-11-55-107-535-1,177-5,885-72,277-361,385-795,047-3,975,235-7,733,639-38,668,195-85,070,029-425,350,145

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