Q: What are the factor combinations of the number 654,004,645?

 A:
Positive:   1 x 6540046455 x 1308009297 x 9342923535 x 18685847983 x 6653154915 x 1330636881 x 9504519009 x 34405
Negative: -1 x -654004645-5 x -130800929-7 x -93429235-35 x -18685847-983 x -665315-4915 x -133063-6881 x -95045-19009 x -34405


How do I find the factor combinations of the number 654,004,645?

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 654,004,645, 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.

1 654,004,645
-1 -654,004,645

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 654,004,645.

Example:
1 x 654,004,645 = 654,004,645
and
-1 x -654,004,645 = 654,004,645
Notice both answers equal 654,004,645

With that explanation out of the way, let's continue. Next, we take the number 654,004,645 and divide it by 2:

654,004,645 ÷ 2 = 327,002,322.5

If the quotient is a whole number, then 2 and 327,002,322.5 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:

1 654,004,645
-1 -654,004,645

Now, we try dividing 654,004,645 by 3:

654,004,645 ÷ 3 = 218,001,548.3333

If the quotient is a whole number, then 3 and 218,001,548.3333 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:

1 654,004,645
-1 -654,004,645

Let's try dividing by 4:

654,004,645 ÷ 4 = 163,501,161.25

If the quotient is a whole number, then 4 and 163,501,161.25 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:

1 654,004,645
-1 654,004,645
Keep dividing by the next highest number until you cannot divide anymore.

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

157359834,9156,88119,00934,40595,045133,063665,31518,685,84793,429,235130,800,929654,004,645
-1-5-7-35-983-4,915-6,881-19,009-34,405-95,045-133,063-665,315-18,685,847-93,429,235-130,800,929-654,004,645

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