Q: What are the factor combinations of the number 42,012,551?

 A:
Positive:   1 x 420125517 x 600179349 x 85739967 x 627053191 x 219961469 x 895791337 x 314233283 x 127974489 x 9359
Negative: -1 x -42012551-7 x -6001793-49 x -857399-67 x -627053-191 x -219961-469 x -89579-1337 x -31423-3283 x -12797-4489 x -9359


How do I find the factor combinations of the number 42,012,551?

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 42,012,551, 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 42,012,551
-1 -42,012,551

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 42,012,551.

Example:
1 x 42,012,551 = 42,012,551
and
-1 x -42,012,551 = 42,012,551
Notice both answers equal 42,012,551

With that explanation out of the way, let's continue. Next, we take the number 42,012,551 and divide it by 2:

42,012,551 ÷ 2 = 21,006,275.5

If the quotient is a whole number, then 2 and 21,006,275.5 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 42,012,551
-1 -42,012,551

Now, we try dividing 42,012,551 by 3:

42,012,551 ÷ 3 = 14,004,183.6667

If the quotient is a whole number, then 3 and 14,004,183.6667 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 42,012,551
-1 -42,012,551

Let's try dividing by 4:

42,012,551 ÷ 4 = 10,503,137.75

If the quotient is a whole number, then 4 and 10,503,137.75 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 42,012,551
-1 42,012,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1749671914691,3373,2834,4899,35912,79731,42389,579219,961627,053857,3996,001,79342,012,551
-1-7-49-67-191-469-1,337-3,283-4,489-9,359-12,797-31,423-89,579-219,961-627,053-857,399-6,001,793-42,012,551

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