Q: What are the factor combinations of the number 62,310,655?

 A:
Positive:   1 x 623106555 x 1246213111 x 566460543 x 144908555 x 1132921215 x 289817473 x 1317352365 x 26347
Negative: -1 x -62310655-5 x -12462131-11 x -5664605-43 x -1449085-55 x -1132921-215 x -289817-473 x -131735-2365 x -26347


How do I find the factor combinations of the number 62,310,655?

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 62,310,655, 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 62,310,655
-1 -62,310,655

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 62,310,655.

Example:
1 x 62,310,655 = 62,310,655
and
-1 x -62,310,655 = 62,310,655
Notice both answers equal 62,310,655

With that explanation out of the way, let's continue. Next, we take the number 62,310,655 and divide it by 2:

62,310,655 ÷ 2 = 31,155,327.5

If the quotient is a whole number, then 2 and 31,155,327.5 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 62,310,655
-1 -62,310,655

Now, we try dividing 62,310,655 by 3:

62,310,655 ÷ 3 = 20,770,218.3333

If the quotient is a whole number, then 3 and 20,770,218.3333 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 62,310,655
-1 -62,310,655

Let's try dividing by 4:

62,310,655 ÷ 4 = 15,577,663.75

If the quotient is a whole number, then 4 and 15,577,663.75 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 62,310,655
-1 62,310,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151143552154732,36526,347131,735289,8171,132,9211,449,0855,664,60512,462,13162,310,655
-1-5-11-43-55-215-473-2,365-26,347-131,735-289,817-1,132,921-1,449,085-5,664,605-12,462,131-62,310,655

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