Q: What are the factor combinations of the number 42,214,039?

 A:
Positive:   1 x 422140397 x 603057723 x 183539349 x 861511161 x 262199343 x 1230731127 x 374575351 x 7889
Negative: -1 x -42214039-7 x -6030577-23 x -1835393-49 x -861511-161 x -262199-343 x -123073-1127 x -37457-5351 x -7889


How do I find the factor combinations of the number 42,214,039?

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 42,214,039, 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 42,214,039
-1 -42,214,039

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 42,214,039.

Example:
1 x 42,214,039 = 42,214,039
and
-1 x -42,214,039 = 42,214,039
Notice both answers equal 42,214,039

With that explanation out of the way, let's continue. Next, we take the number 42,214,039 and divide it by 2:

42,214,039 ÷ 2 = 21,107,019.5

If the quotient is a whole number, then 2 and 21,107,019.5 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 42,214,039
-1 -42,214,039

Now, we try dividing 42,214,039 by 3:

42,214,039 ÷ 3 = 14,071,346.3333

If the quotient is a whole number, then 3 and 14,071,346.3333 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 42,214,039
-1 -42,214,039

Let's try dividing by 4:

42,214,039 ÷ 4 = 10,553,509.75

If the quotient is a whole number, then 4 and 10,553,509.75 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 42,214,039
-1 42,214,039
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491613431,1275,3517,88937,457123,073262,199861,5111,835,3936,030,57742,214,039
-1-7-23-49-161-343-1,127-5,351-7,889-37,457-123,073-262,199-861,511-1,835,393-6,030,577-42,214,039

More Examples

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