Q: What are the factor combinations of the number 42,246,215?

 A:
Positive:   1 x 422462155 x 844924311 x 384056519 x 222348555 x 76811395 x 444697209 x 2021351045 x 40427
Negative: -1 x -42246215-5 x -8449243-11 x -3840565-19 x -2223485-55 x -768113-95 x -444697-209 x -202135-1045 x -40427


How do I find the factor combinations of the number 42,246,215?

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 42,246,215, 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 42,246,215
-1 -42,246,215

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 42,246,215.

Example:
1 x 42,246,215 = 42,246,215
and
-1 x -42,246,215 = 42,246,215
Notice both answers equal 42,246,215

With that explanation out of the way, let's continue. Next, we take the number 42,246,215 and divide it by 2:

42,246,215 ÷ 2 = 21,123,107.5

If the quotient is a whole number, then 2 and 21,123,107.5 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 42,246,215
-1 -42,246,215

Now, we try dividing 42,246,215 by 3:

42,246,215 ÷ 3 = 14,082,071.6667

If the quotient is a whole number, then 3 and 14,082,071.6667 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 42,246,215
-1 -42,246,215

Let's try dividing by 4:

42,246,215 ÷ 4 = 10,561,553.75

If the quotient is a whole number, then 4 and 10,561,553.75 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 42,246,215
-1 42,246,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04540,427202,135444,697768,1132,223,4853,840,5658,449,24342,246,215
-1-5-11-19-55-95-209-1,045-40,427-202,135-444,697-768,113-2,223,485-3,840,565-8,449,243-42,246,215

More Examples

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