Q: What are the factor combinations of the number 62,479,241?

 A:
Positive:   1 x 6247924111 x 5679931509 x 1227495599 x 11159
Negative: -1 x -62479241-11 x -5679931-509 x -122749-5599 x -11159


How do I find the factor combinations of the number 62,479,241?

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 62,479,241, 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 62,479,241
-1 -62,479,241

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 62,479,241.

Example:
1 x 62,479,241 = 62,479,241
and
-1 x -62,479,241 = 62,479,241
Notice both answers equal 62,479,241

With that explanation out of the way, let's continue. Next, we take the number 62,479,241 and divide it by 2:

62,479,241 ÷ 2 = 31,239,620.5

If the quotient is a whole number, then 2 and 31,239,620.5 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 62,479,241
-1 -62,479,241

Now, we try dividing 62,479,241 by 3:

62,479,241 ÷ 3 = 20,826,413.6667

If the quotient is a whole number, then 3 and 20,826,413.6667 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 62,479,241
-1 -62,479,241

Let's try dividing by 4:

62,479,241 ÷ 4 = 15,619,810.25

If the quotient is a whole number, then 4 and 15,619,810.25 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 62,479,241
-1 62,479,241
Keep dividing by the next highest number until you cannot divide anymore.

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

1115095,59911,159122,7495,679,93162,479,241
-1-11-509-5,599-11,159-122,749-5,679,931-62,479,241

More Examples

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