Q: What are the factor combinations of the number 42,010,235?

 A:
Positive:   1 x 420102355 x 840204719 x 221106595 x 442213109 x 385415545 x 770832071 x 202854057 x 10355
Negative: -1 x -42010235-5 x -8402047-19 x -2211065-95 x -442213-109 x -385415-545 x -77083-2071 x -20285-4057 x -10355


How do I find the factor combinations of the number 42,010,235?

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 42,010,235, 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 42,010,235
-1 -42,010,235

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 42,010,235.

Example:
1 x 42,010,235 = 42,010,235
and
-1 x -42,010,235 = 42,010,235
Notice both answers equal 42,010,235

With that explanation out of the way, let's continue. Next, we take the number 42,010,235 and divide it by 2:

42,010,235 ÷ 2 = 21,005,117.5

If the quotient is a whole number, then 2 and 21,005,117.5 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 42,010,235
-1 -42,010,235

Now, we try dividing 42,010,235 by 3:

42,010,235 ÷ 3 = 14,003,411.6667

If the quotient is a whole number, then 3 and 14,003,411.6667 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 42,010,235
-1 -42,010,235

Let's try dividing by 4:

42,010,235 ÷ 4 = 10,502,558.75

If the quotient is a whole number, then 4 and 10,502,558.75 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 42,010,235
-1 42,010,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951095452,0714,05710,35520,28577,083385,415442,2132,211,0658,402,04742,010,235
-1-5-19-95-109-545-2,071-4,057-10,355-20,285-77,083-385,415-442,213-2,211,065-8,402,047-42,010,235

More Examples

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