Q: What are the factor combinations of the number 675,204,523?

 A:
Positive:   1 x 6752045237 x 9645778941 x 16468403131 x 5154233287 x 2352629917 x 7363195371 x 12571317959 x 37597
Negative: -1 x -675204523-7 x -96457789-41 x -16468403-131 x -5154233-287 x -2352629-917 x -736319-5371 x -125713-17959 x -37597


How do I find the factor combinations of the number 675,204,523?

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 675,204,523, 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.

1 675,204,523
-1 -675,204,523

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 675,204,523.

Example:
1 x 675,204,523 = 675,204,523
and
-1 x -675,204,523 = 675,204,523
Notice both answers equal 675,204,523

With that explanation out of the way, let's continue. Next, we take the number 675,204,523 and divide it by 2:

675,204,523 ÷ 2 = 337,602,261.5

If the quotient is a whole number, then 2 and 337,602,261.5 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:

1 675,204,523
-1 -675,204,523

Now, we try dividing 675,204,523 by 3:

675,204,523 ÷ 3 = 225,068,174.3333

If the quotient is a whole number, then 3 and 225,068,174.3333 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:

1 675,204,523
-1 -675,204,523

Let's try dividing by 4:

675,204,523 ÷ 4 = 168,801,130.75

If the quotient is a whole number, then 4 and 168,801,130.75 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:

1 675,204,523
-1 675,204,523
Keep dividing by the next highest number until you cannot divide anymore.

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

17411312879175,37117,95937,597125,713736,3192,352,6295,154,23316,468,40396,457,789675,204,523
-1-7-41-131-287-917-5,371-17,959-37,597-125,713-736,319-2,352,629-5,154,233-16,468,403-96,457,789-675,204,523

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