Q: What are the factor combinations of the number 42,002,125?

 A:
Positive:   1 x 420021255 x 840042511 x 381837525 x 168008555 x 763675121 x 347125125 x 336017275 x 152735605 x 694251375 x 305472777 x 151253025 x 13885
Negative: -1 x -42002125-5 x -8400425-11 x -3818375-25 x -1680085-55 x -763675-121 x -347125-125 x -336017-275 x -152735-605 x -69425-1375 x -30547-2777 x -15125-3025 x -13885


How do I find the factor combinations of the number 42,002,125?

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 42,002,125, 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 42,002,125
-1 -42,002,125

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 42,002,125.

Example:
1 x 42,002,125 = 42,002,125
and
-1 x -42,002,125 = 42,002,125
Notice both answers equal 42,002,125

With that explanation out of the way, let's continue. Next, we take the number 42,002,125 and divide it by 2:

42,002,125 ÷ 2 = 21,001,062.5

If the quotient is a whole number, then 2 and 21,001,062.5 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 42,002,125
-1 -42,002,125

Now, we try dividing 42,002,125 by 3:

42,002,125 ÷ 3 = 14,000,708.3333

If the quotient is a whole number, then 3 and 14,000,708.3333 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 42,002,125
-1 -42,002,125

Let's try dividing by 4:

42,002,125 ÷ 4 = 10,500,531.25

If the quotient is a whole number, then 4 and 10,500,531.25 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 42,002,125
-1 42,002,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551211252756051,3752,7773,02513,88515,12530,54769,425152,735336,017347,125763,6751,680,0853,818,3758,400,42542,002,125
-1-5-11-25-55-121-125-275-605-1,375-2,777-3,025-13,885-15,125-30,547-69,425-152,735-336,017-347,125-763,675-1,680,085-3,818,375-8,400,425-42,002,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,002,125:


Ask a Question