Q: What are the factor combinations of the number 42,074,065?

 A:
Positive:   1 x 420740655 x 841481311 x 382491517 x 247494555 x 76498385 x 494989187 x 224995289 x 145585935 x 449991445 x 291172647 x 158953179 x 13235
Negative: -1 x -42074065-5 x -8414813-11 x -3824915-17 x -2474945-55 x -764983-85 x -494989-187 x -224995-289 x -145585-935 x -44999-1445 x -29117-2647 x -15895-3179 x -13235


How do I find the factor combinations of the number 42,074,065?

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 42,074,065, 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 42,074,065
-1 -42,074,065

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 42,074,065.

Example:
1 x 42,074,065 = 42,074,065
and
-1 x -42,074,065 = 42,074,065
Notice both answers equal 42,074,065

With that explanation out of the way, let's continue. Next, we take the number 42,074,065 and divide it by 2:

42,074,065 ÷ 2 = 21,037,032.5

If the quotient is a whole number, then 2 and 21,037,032.5 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 42,074,065
-1 -42,074,065

Now, we try dividing 42,074,065 by 3:

42,074,065 ÷ 3 = 14,024,688.3333

If the quotient is a whole number, then 3 and 14,024,688.3333 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 42,074,065
-1 -42,074,065

Let's try dividing by 4:

42,074,065 ÷ 4 = 10,518,516.25

If the quotient is a whole number, then 4 and 10,518,516.25 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 42,074,065
-1 42,074,065
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851872899351,4452,6473,17913,23515,89529,11744,999145,585224,995494,989764,9832,474,9453,824,9158,414,81342,074,065
-1-5-11-17-55-85-187-289-935-1,445-2,647-3,179-13,235-15,895-29,117-44,999-145,585-224,995-494,989-764,983-2,474,945-3,824,915-8,414,813-42,074,065

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