Q: What are the factor combinations of the number 620,613,407?

 A:
Positive:   1 x 62061340717 x 36506671317 x 19577715389 x 115163
Negative: -1 x -620613407-17 x -36506671-317 x -1957771-5389 x -115163


How do I find the factor combinations of the number 620,613,407?

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 620,613,407, 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.

1 620,613,407
-1 -620,613,407

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 620,613,407.

Example:
1 x 620,613,407 = 620,613,407
and
-1 x -620,613,407 = 620,613,407
Notice both answers equal 620,613,407

With that explanation out of the way, let's continue. Next, we take the number 620,613,407 and divide it by 2:

620,613,407 ÷ 2 = 310,306,703.5

If the quotient is a whole number, then 2 and 310,306,703.5 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:

1 620,613,407
-1 -620,613,407

Now, we try dividing 620,613,407 by 3:

620,613,407 ÷ 3 = 206,871,135.6667

If the quotient is a whole number, then 3 and 206,871,135.6667 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:

1 620,613,407
-1 -620,613,407

Let's try dividing by 4:

620,613,407 ÷ 4 = 155,153,351.75

If the quotient is a whole number, then 4 and 155,153,351.75 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:

1 620,613,407
-1 620,613,407
Keep dividing by the next highest number until you cannot divide anymore.

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

1173175,389115,1631,957,77136,506,671620,613,407
-1-17-317-5,389-115,163-1,957,771-36,506,671-620,613,407

More Examples

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