Q: What are the factor combinations of the number 62,536,625?

 A:
Positive:   1 x 625366255 x 1250732517 x 367862525 x 250146585 x 735725125 x 500293425 x 1471452125 x 29429
Negative: -1 x -62536625-5 x -12507325-17 x -3678625-25 x -2501465-85 x -735725-125 x -500293-425 x -147145-2125 x -29429


How do I find the factor combinations of the number 62,536,625?

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 62,536,625, 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 62,536,625
-1 -62,536,625

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 62,536,625.

Example:
1 x 62,536,625 = 62,536,625
and
-1 x -62,536,625 = 62,536,625
Notice both answers equal 62,536,625

With that explanation out of the way, let's continue. Next, we take the number 62,536,625 and divide it by 2:

62,536,625 ÷ 2 = 31,268,312.5

If the quotient is a whole number, then 2 and 31,268,312.5 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 62,536,625
-1 -62,536,625

Now, we try dividing 62,536,625 by 3:

62,536,625 ÷ 3 = 20,845,541.6667

If the quotient is a whole number, then 3 and 20,845,541.6667 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 62,536,625
-1 -62,536,625

Let's try dividing by 4:

62,536,625 ÷ 4 = 15,634,156.25

If the quotient is a whole number, then 4 and 15,634,156.25 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 62,536,625
-1 62,536,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,12529,429147,145500,293735,7252,501,4653,678,62512,507,32562,536,625
-1-5-17-25-85-125-425-2,125-29,429-147,145-500,293-735,725-2,501,465-3,678,625-12,507,325-62,536,625

More Examples

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