Q: What are the factor combinations of the number 42,228,785?

 A:
Positive:   1 x 422287855 x 844575729 x 1456165145 x 291233179 x 235915895 x 471831627 x 259555191 x 8135
Negative: -1 x -42228785-5 x -8445757-29 x -1456165-145 x -291233-179 x -235915-895 x -47183-1627 x -25955-5191 x -8135


How do I find the factor combinations of the number 42,228,785?

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 42,228,785, 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 42,228,785
-1 -42,228,785

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 42,228,785.

Example:
1 x 42,228,785 = 42,228,785
and
-1 x -42,228,785 = 42,228,785
Notice both answers equal 42,228,785

With that explanation out of the way, let's continue. Next, we take the number 42,228,785 and divide it by 2:

42,228,785 ÷ 2 = 21,114,392.5

If the quotient is a whole number, then 2 and 21,114,392.5 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 42,228,785
-1 -42,228,785

Now, we try dividing 42,228,785 by 3:

42,228,785 ÷ 3 = 14,076,261.6667

If the quotient is a whole number, then 3 and 14,076,261.6667 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 42,228,785
-1 -42,228,785

Let's try dividing by 4:

42,228,785 ÷ 4 = 10,557,196.25

If the quotient is a whole number, then 4 and 10,557,196.25 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 42,228,785
-1 42,228,785
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451798951,6275,1918,13525,95547,183235,915291,2331,456,1658,445,75742,228,785
-1-5-29-145-179-895-1,627-5,191-8,135-25,955-47,183-235,915-291,233-1,456,165-8,445,757-42,228,785

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