Q: What are the factor combinations of the number 42,070,835?

 A:
Positive:   1 x 420708355 x 841416717 x 247475559 x 71306585 x 494951295 x 1426131003 x 419455015 x 8389
Negative: -1 x -42070835-5 x -8414167-17 x -2474755-59 x -713065-85 x -494951-295 x -142613-1003 x -41945-5015 x -8389


How do I find the factor combinations of the number 42,070,835?

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 42,070,835, 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 42,070,835
-1 -42,070,835

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 42,070,835.

Example:
1 x 42,070,835 = 42,070,835
and
-1 x -42,070,835 = 42,070,835
Notice both answers equal 42,070,835

With that explanation out of the way, let's continue. Next, we take the number 42,070,835 and divide it by 2:

42,070,835 ÷ 2 = 21,035,417.5

If the quotient is a whole number, then 2 and 21,035,417.5 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 42,070,835
-1 -42,070,835

Now, we try dividing 42,070,835 by 3:

42,070,835 ÷ 3 = 14,023,611.6667

If the quotient is a whole number, then 3 and 14,023,611.6667 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 42,070,835
-1 -42,070,835

Let's try dividing by 4:

42,070,835 ÷ 4 = 10,517,708.75

If the quotient is a whole number, then 4 and 10,517,708.75 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 42,070,835
-1 42,070,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151759852951,0035,0158,38941,945142,613494,951713,0652,474,7558,414,16742,070,835
-1-5-17-59-85-295-1,003-5,015-8,389-41,945-142,613-494,951-713,065-2,474,755-8,414,167-42,070,835

More Examples

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