Q: What are the factor combinations of the number 42,002,065?

 A:
Positive:   1 x 420020655 x 84004137 x 600029519 x 221063535 x 120005949 x 85718595 x 442127133 x 315805245 x 171437343 x 122455665 x 63161931 x 451151289 x 325851715 x 244914655 x 90236445 x 6517
Negative: -1 x -42002065-5 x -8400413-7 x -6000295-19 x -2210635-35 x -1200059-49 x -857185-95 x -442127-133 x -315805-245 x -171437-343 x -122455-665 x -63161-931 x -45115-1289 x -32585-1715 x -24491-4655 x -9023-6445 x -6517


How do I find the factor combinations of the number 42,002,065?

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 42,002,065, 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 42,002,065
-1 -42,002,065

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 42,002,065.

Example:
1 x 42,002,065 = 42,002,065
and
-1 x -42,002,065 = 42,002,065
Notice both answers equal 42,002,065

With that explanation out of the way, let's continue. Next, we take the number 42,002,065 and divide it by 2:

42,002,065 ÷ 2 = 21,001,032.5

If the quotient is a whole number, then 2 and 21,001,032.5 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 42,002,065
-1 -42,002,065

Now, we try dividing 42,002,065 by 3:

42,002,065 ÷ 3 = 14,000,688.3333

If the quotient is a whole number, then 3 and 14,000,688.3333 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 42,002,065
-1 -42,002,065

Let's try dividing by 4:

42,002,065 ÷ 4 = 10,500,516.25

If the quotient is a whole number, then 4 and 10,500,516.25 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 42,002,065
-1 42,002,065
Keep dividing by the next highest number until you cannot divide anymore.

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

157193549951332453436659311,2891,7154,6556,4456,5179,02324,49132,58545,11563,161122,455171,437315,805442,127857,1851,200,0592,210,6356,000,2958,400,41342,002,065
-1-5-7-19-35-49-95-133-245-343-665-931-1,289-1,715-4,655-6,445-6,517-9,023-24,491-32,585-45,115-63,161-122,455-171,437-315,805-442,127-857,185-1,200,059-2,210,635-6,000,295-8,400,413-42,002,065

More Examples

Here are some more numbers to try:

42,002,06342,002,06442,002,06642,002,067
Try the factor calculator

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