Q: What are the factor combinations of the number 42,616,025?

 A:
Positive:   1 x 426160255 x 852320517 x 250682525 x 170464185 x 501365197 x 216325425 x 100273509 x 83725985 x 432652545 x 167453349 x 127254925 x 8653
Negative: -1 x -42616025-5 x -8523205-17 x -2506825-25 x -1704641-85 x -501365-197 x -216325-425 x -100273-509 x -83725-985 x -43265-2545 x -16745-3349 x -12725-4925 x -8653


How do I find the factor combinations of the number 42,616,025?

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 42,616,025, 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 42,616,025
-1 -42,616,025

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 42,616,025.

Example:
1 x 42,616,025 = 42,616,025
and
-1 x -42,616,025 = 42,616,025
Notice both answers equal 42,616,025

With that explanation out of the way, let's continue. Next, we take the number 42,616,025 and divide it by 2:

42,616,025 ÷ 2 = 21,308,012.5

If the quotient is a whole number, then 2 and 21,308,012.5 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 42,616,025
-1 -42,616,025

Now, we try dividing 42,616,025 by 3:

42,616,025 ÷ 3 = 14,205,341.6667

If the quotient is a whole number, then 3 and 14,205,341.6667 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 42,616,025
-1 -42,616,025

Let's try dividing by 4:

42,616,025 ÷ 4 = 10,654,006.25

If the quotient is a whole number, then 4 and 10,654,006.25 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 42,616,025
-1 42,616,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851974255099852,5453,3494,9258,65312,72516,74543,26583,725100,273216,325501,3651,704,6412,506,8258,523,20542,616,025
-1-5-17-25-85-197-425-509-985-2,545-3,349-4,925-8,653-12,725-16,745-43,265-83,725-100,273-216,325-501,365-1,704,641-2,506,825-8,523,205-42,616,025

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