Q: What are the factor combinations of the number 620,520,221?

 A:
Positive:   1 x 62052022119 x 3265895929 x 2139724973 x 8500277551 x 11261711387 x 4473832117 x 29311315427 x 40223
Negative: -1 x -620520221-19 x -32658959-29 x -21397249-73 x -8500277-551 x -1126171-1387 x -447383-2117 x -293113-15427 x -40223


How do I find the factor combinations of the number 620,520,221?

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 620,520,221, 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.

1 620,520,221
-1 -620,520,221

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 620,520,221.

Example:
1 x 620,520,221 = 620,520,221
and
-1 x -620,520,221 = 620,520,221
Notice both answers equal 620,520,221

With that explanation out of the way, let's continue. Next, we take the number 620,520,221 and divide it by 2:

620,520,221 ÷ 2 = 310,260,110.5

If the quotient is a whole number, then 2 and 310,260,110.5 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:

1 620,520,221
-1 -620,520,221

Now, we try dividing 620,520,221 by 3:

620,520,221 ÷ 3 = 206,840,073.6667

If the quotient is a whole number, then 3 and 206,840,073.6667 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:

1 620,520,221
-1 -620,520,221

Let's try dividing by 4:

620,520,221 ÷ 4 = 155,130,055.25

If the quotient is a whole number, then 4 and 155,130,055.25 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:

1 620,520,221
-1 620,520,221
Keep dividing by the next highest number until you cannot divide anymore.

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

11929735511,3872,11715,42740,223293,113447,3831,126,1718,500,27721,397,24932,658,959620,520,221
-1-19-29-73-551-1,387-2,117-15,427-40,223-293,113-447,383-1,126,171-8,500,277-21,397,249-32,658,959-620,520,221

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