Q: What are the factor combinations of the number 62,436,311?

 A:
Positive:   1 x 624363117 x 8919473233 x 2679671631 x 38281
Negative: -1 x -62436311-7 x -8919473-233 x -267967-1631 x -38281


How do I find the factor combinations of the number 62,436,311?

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 62,436,311, 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 62,436,311
-1 -62,436,311

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 62,436,311.

Example:
1 x 62,436,311 = 62,436,311
and
-1 x -62,436,311 = 62,436,311
Notice both answers equal 62,436,311

With that explanation out of the way, let's continue. Next, we take the number 62,436,311 and divide it by 2:

62,436,311 ÷ 2 = 31,218,155.5

If the quotient is a whole number, then 2 and 31,218,155.5 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 62,436,311
-1 -62,436,311

Now, we try dividing 62,436,311 by 3:

62,436,311 ÷ 3 = 20,812,103.6667

If the quotient is a whole number, then 3 and 20,812,103.6667 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 62,436,311
-1 -62,436,311

Let's try dividing by 4:

62,436,311 ÷ 4 = 15,609,077.75

If the quotient is a whole number, then 4 and 15,609,077.75 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 62,436,311
-1 62,436,311
Keep dividing by the next highest number until you cannot divide anymore.

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

172331,63138,281267,9678,919,47362,436,311
-1-7-233-1,631-38,281-267,967-8,919,473-62,436,311

More Examples

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