Q: What are the factor combinations of the number 62,163,509?

 A:
Positive:   1 x 6216350917 x 365667743 x 1445663277 x 224417307 x 202487731 x 850394709 x 132015219 x 11911
Negative: -1 x -62163509-17 x -3656677-43 x -1445663-277 x -224417-307 x -202487-731 x -85039-4709 x -13201-5219 x -11911


How do I find the factor combinations of the number 62,163,509?

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 62,163,509, 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 62,163,509
-1 -62,163,509

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 62,163,509.

Example:
1 x 62,163,509 = 62,163,509
and
-1 x -62,163,509 = 62,163,509
Notice both answers equal 62,163,509

With that explanation out of the way, let's continue. Next, we take the number 62,163,509 and divide it by 2:

62,163,509 ÷ 2 = 31,081,754.5

If the quotient is a whole number, then 2 and 31,081,754.5 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 62,163,509
-1 -62,163,509

Now, we try dividing 62,163,509 by 3:

62,163,509 ÷ 3 = 20,721,169.6667

If the quotient is a whole number, then 3 and 20,721,169.6667 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 62,163,509
-1 -62,163,509

Let's try dividing by 4:

62,163,509 ÷ 4 = 15,540,877.25

If the quotient is a whole number, then 4 and 15,540,877.25 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 62,163,509
-1 62,163,509
Keep dividing by the next highest number until you cannot divide anymore.

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

117432773077314,7095,21911,91113,20185,039202,487224,4171,445,6633,656,67762,163,509
-1-17-43-277-307-731-4,709-5,219-11,911-13,201-85,039-202,487-224,417-1,445,663-3,656,677-62,163,509

More Examples

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