Q: What are the factor combinations of the number 42,015,515?

 A:
Positive:   1 x 420155155 x 840310343 x 97710573 x 575555215 x 195421365 x 1151112677 x 156953139 x 13385
Negative: -1 x -42015515-5 x -8403103-43 x -977105-73 x -575555-215 x -195421-365 x -115111-2677 x -15695-3139 x -13385


How do I find the factor combinations of the number 42,015,515?

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 42,015,515, 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 42,015,515
-1 -42,015,515

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 42,015,515.

Example:
1 x 42,015,515 = 42,015,515
and
-1 x -42,015,515 = 42,015,515
Notice both answers equal 42,015,515

With that explanation out of the way, let's continue. Next, we take the number 42,015,515 and divide it by 2:

42,015,515 ÷ 2 = 21,007,757.5

If the quotient is a whole number, then 2 and 21,007,757.5 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 42,015,515
-1 -42,015,515

Now, we try dividing 42,015,515 by 3:

42,015,515 ÷ 3 = 14,005,171.6667

If the quotient is a whole number, then 3 and 14,005,171.6667 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 42,015,515
-1 -42,015,515

Let's try dividing by 4:

42,015,515 ÷ 4 = 10,503,878.75

If the quotient is a whole number, then 4 and 10,503,878.75 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 42,015,515
-1 42,015,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1543732153652,6773,13913,38515,695115,111195,421575,555977,1058,403,10342,015,515
-1-5-43-73-215-365-2,677-3,139-13,385-15,695-115,111-195,421-575,555-977,105-8,403,103-42,015,515

More Examples

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