Q: What are the factor combinations of the number 62,124,817?

 A:
Positive:   1 x 6212481717 x 365440123 x 270107959 x 1052963391 x 1588871003 x 619391357 x 457812693 x 23069
Negative: -1 x -62124817-17 x -3654401-23 x -2701079-59 x -1052963-391 x -158887-1003 x -61939-1357 x -45781-2693 x -23069


How do I find the factor combinations of the number 62,124,817?

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 62,124,817, 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 62,124,817
-1 -62,124,817

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 62,124,817.

Example:
1 x 62,124,817 = 62,124,817
and
-1 x -62,124,817 = 62,124,817
Notice both answers equal 62,124,817

With that explanation out of the way, let's continue. Next, we take the number 62,124,817 and divide it by 2:

62,124,817 ÷ 2 = 31,062,408.5

If the quotient is a whole number, then 2 and 31,062,408.5 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 62,124,817
-1 -62,124,817

Now, we try dividing 62,124,817 by 3:

62,124,817 ÷ 3 = 20,708,272.3333

If the quotient is a whole number, then 3 and 20,708,272.3333 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 62,124,817
-1 -62,124,817

Let's try dividing by 4:

62,124,817 ÷ 4 = 15,531,204.25

If the quotient is a whole number, then 4 and 15,531,204.25 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 62,124,817
-1 62,124,817
Keep dividing by the next highest number until you cannot divide anymore.

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

11723593911,0031,3572,69323,06945,78161,939158,8871,052,9632,701,0793,654,40162,124,817
-1-17-23-59-391-1,003-1,357-2,693-23,069-45,781-61,939-158,887-1,052,963-2,701,079-3,654,401-62,124,817

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