Q: What are the factor combinations of the number 42,152,279?

 A:
Positive:   1 x 4215227913 x 324248319 x 221854147 x 896857247 x 170657611 x 68989893 x 472033631 x 11609
Negative: -1 x -42152279-13 x -3242483-19 x -2218541-47 x -896857-247 x -170657-611 x -68989-893 x -47203-3631 x -11609


How do I find the factor combinations of the number 42,152,279?

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 42,152,279, 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 42,152,279
-1 -42,152,279

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 42,152,279.

Example:
1 x 42,152,279 = 42,152,279
and
-1 x -42,152,279 = 42,152,279
Notice both answers equal 42,152,279

With that explanation out of the way, let's continue. Next, we take the number 42,152,279 and divide it by 2:

42,152,279 ÷ 2 = 21,076,139.5

If the quotient is a whole number, then 2 and 21,076,139.5 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 42,152,279
-1 -42,152,279

Now, we try dividing 42,152,279 by 3:

42,152,279 ÷ 3 = 14,050,759.6667

If the quotient is a whole number, then 3 and 14,050,759.6667 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 42,152,279
-1 -42,152,279

Let's try dividing by 4:

42,152,279 ÷ 4 = 10,538,069.75

If the quotient is a whole number, then 4 and 10,538,069.75 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 42,152,279
-1 42,152,279
Keep dividing by the next highest number until you cannot divide anymore.

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

11319472476118933,63111,60947,20368,989170,657896,8572,218,5413,242,48342,152,279
-1-13-19-47-247-611-893-3,631-11,609-47,203-68,989-170,657-896,857-2,218,541-3,242,483-42,152,279

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