Q: What are the factor combinations of the number 42,623,125?

 A:
Positive:   1 x 426231255 x 852462525 x 170492547 x 906875125 x 340985235 x 181375625 x 681971175 x 362751451 x 293755875 x 7255
Negative: -1 x -42623125-5 x -8524625-25 x -1704925-47 x -906875-125 x -340985-235 x -181375-625 x -68197-1175 x -36275-1451 x -29375-5875 x -7255


How do I find the factor combinations of the number 42,623,125?

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 42,623,125, 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 42,623,125
-1 -42,623,125

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 42,623,125.

Example:
1 x 42,623,125 = 42,623,125
and
-1 x -42,623,125 = 42,623,125
Notice both answers equal 42,623,125

With that explanation out of the way, let's continue. Next, we take the number 42,623,125 and divide it by 2:

42,623,125 ÷ 2 = 21,311,562.5

If the quotient is a whole number, then 2 and 21,311,562.5 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 42,623,125
-1 -42,623,125

Now, we try dividing 42,623,125 by 3:

42,623,125 ÷ 3 = 14,207,708.3333

If the quotient is a whole number, then 3 and 14,207,708.3333 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 42,623,125
-1 -42,623,125

Let's try dividing by 4:

42,623,125 ÷ 4 = 10,655,781.25

If the quotient is a whole number, then 4 and 10,655,781.25 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 42,623,125
-1 42,623,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471252356251,1751,4515,8757,25529,37536,27568,197181,375340,985906,8751,704,9258,524,62542,623,125
-1-5-25-47-125-235-625-1,175-1,451-5,875-7,255-29,375-36,275-68,197-181,375-340,985-906,875-1,704,925-8,524,625-42,623,125

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