Q: What are the factor combinations of the number 42,661,415?

 A:
Positive:   1 x 426614155 x 853228317 x 250949571 x 60086585 x 501899355 x 1201731207 x 353456035 x 7069
Negative: -1 x -42661415-5 x -8532283-17 x -2509495-71 x -600865-85 x -501899-355 x -120173-1207 x -35345-6035 x -7069


How do I find the factor combinations of the number 42,661,415?

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 42,661,415, 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 42,661,415
-1 -42,661,415

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 42,661,415.

Example:
1 x 42,661,415 = 42,661,415
and
-1 x -42,661,415 = 42,661,415
Notice both answers equal 42,661,415

With that explanation out of the way, let's continue. Next, we take the number 42,661,415 and divide it by 2:

42,661,415 ÷ 2 = 21,330,707.5

If the quotient is a whole number, then 2 and 21,330,707.5 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 42,661,415
-1 -42,661,415

Now, we try dividing 42,661,415 by 3:

42,661,415 ÷ 3 = 14,220,471.6667

If the quotient is a whole number, then 3 and 14,220,471.6667 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 42,661,415
-1 -42,661,415

Let's try dividing by 4:

42,661,415 ÷ 4 = 10,665,353.75

If the quotient is a whole number, then 4 and 10,665,353.75 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 42,661,415
-1 42,661,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151771853551,2076,0357,06935,345120,173501,899600,8652,509,4958,532,28342,661,415
-1-5-17-71-85-355-1,207-6,035-7,069-35,345-120,173-501,899-600,865-2,509,495-8,532,283-42,661,415

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