Q: What are the factor combinations of the number 672,441,055?

 A:
Positive:   1 x 6724410555 x 13448821111 x 6113100513 x 5172623555 x 1222620165 x 10345247143 x 4702385715 x 940477
Negative: -1 x -672441055-5 x -134488211-11 x -61131005-13 x -51726235-55 x -12226201-65 x -10345247-143 x -4702385-715 x -940477


How do I find the factor combinations of the number 672,441,055?

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 672,441,055, 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.

1 672,441,055
-1 -672,441,055

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 672,441,055.

Example:
1 x 672,441,055 = 672,441,055
and
-1 x -672,441,055 = 672,441,055
Notice both answers equal 672,441,055

With that explanation out of the way, let's continue. Next, we take the number 672,441,055 and divide it by 2:

672,441,055 ÷ 2 = 336,220,527.5

If the quotient is a whole number, then 2 and 336,220,527.5 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:

1 672,441,055
-1 -672,441,055

Now, we try dividing 672,441,055 by 3:

672,441,055 ÷ 3 = 224,147,018.3333

If the quotient is a whole number, then 3 and 224,147,018.3333 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:

1 672,441,055
-1 -672,441,055

Let's try dividing by 4:

672,441,055 ÷ 4 = 168,110,263.75

If the quotient is a whole number, then 4 and 168,110,263.75 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:

1 672,441,055
-1 672,441,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715940,4774,702,38510,345,24712,226,20151,726,23561,131,005134,488,211672,441,055
-1-5-11-13-55-65-143-715-940,477-4,702,385-10,345,247-12,226,201-51,726,235-61,131,005-134,488,211-672,441,055

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