Q: What are the factor combinations of the number 62,675,575?

 A:
Positive:   1 x 626755755 x 1253511523 x 272502525 x 2507023115 x 545005575 x 109001
Negative: -1 x -62675575-5 x -12535115-23 x -2725025-25 x -2507023-115 x -545005-575 x -109001


How do I find the factor combinations of the number 62,675,575?

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 62,675,575, 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 62,675,575
-1 -62,675,575

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 62,675,575.

Example:
1 x 62,675,575 = 62,675,575
and
-1 x -62,675,575 = 62,675,575
Notice both answers equal 62,675,575

With that explanation out of the way, let's continue. Next, we take the number 62,675,575 and divide it by 2:

62,675,575 ÷ 2 = 31,337,787.5

If the quotient is a whole number, then 2 and 31,337,787.5 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 62,675,575
-1 -62,675,575

Now, we try dividing 62,675,575 by 3:

62,675,575 ÷ 3 = 20,891,858.3333

If the quotient is a whole number, then 3 and 20,891,858.3333 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 62,675,575
-1 -62,675,575

Let's try dividing by 4:

62,675,575 ÷ 4 = 15,668,893.75

If the quotient is a whole number, then 4 and 15,668,893.75 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 62,675,575
-1 62,675,575
Keep dividing by the next highest number until you cannot divide anymore.

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

152325115575109,001545,0052,507,0232,725,02512,535,11562,675,575
-1-5-23-25-115-575-109,001-545,005-2,507,023-2,725,025-12,535,115-62,675,575

More Examples

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