Q: What are the factor combinations of the number 42,038,059?

 A:
Positive:   1 x 420380597 x 600543717 x 2472827119 x 353261457 x 91987773 x 543833199 x 131415411 x 7769
Negative: -1 x -42038059-7 x -6005437-17 x -2472827-119 x -353261-457 x -91987-773 x -54383-3199 x -13141-5411 x -7769


How do I find the factor combinations of the number 42,038,059?

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 42,038,059, 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 42,038,059
-1 -42,038,059

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 42,038,059.

Example:
1 x 42,038,059 = 42,038,059
and
-1 x -42,038,059 = 42,038,059
Notice both answers equal 42,038,059

With that explanation out of the way, let's continue. Next, we take the number 42,038,059 and divide it by 2:

42,038,059 ÷ 2 = 21,019,029.5

If the quotient is a whole number, then 2 and 21,019,029.5 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 42,038,059
-1 -42,038,059

Now, we try dividing 42,038,059 by 3:

42,038,059 ÷ 3 = 14,012,686.3333

If the quotient is a whole number, then 3 and 14,012,686.3333 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 42,038,059
-1 -42,038,059

Let's try dividing by 4:

42,038,059 ÷ 4 = 10,509,514.75

If the quotient is a whole number, then 4 and 10,509,514.75 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 42,038,059
-1 42,038,059
Keep dividing by the next highest number until you cannot divide anymore.

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

17171194577733,1995,4117,76913,14154,38391,987353,2612,472,8276,005,43742,038,059
-1-7-17-119-457-773-3,199-5,411-7,769-13,141-54,383-91,987-353,261-2,472,827-6,005,437-42,038,059

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