Q: What are the factor combinations of the number 123,737,497?

 A:
Positive:   1 x 12373749713 x 9518269127 x 974311149 x 830453503 x 2459991651 x 749471937 x 638816539 x 18923
Negative: -1 x -123737497-13 x -9518269-127 x -974311-149 x -830453-503 x -245999-1651 x -74947-1937 x -63881-6539 x -18923


How do I find the factor combinations of the number 123,737,497?

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 123,737,497, 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.

1 123,737,497
-1 -123,737,497

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 123,737,497.

Example:
1 x 123,737,497 = 123,737,497
and
-1 x -123,737,497 = 123,737,497
Notice both answers equal 123,737,497

With that explanation out of the way, let's continue. Next, we take the number 123,737,497 and divide it by 2:

123,737,497 ÷ 2 = 61,868,748.5

If the quotient is a whole number, then 2 and 61,868,748.5 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:

1 123,737,497
-1 -123,737,497

Now, we try dividing 123,737,497 by 3:

123,737,497 ÷ 3 = 41,245,832.3333

If the quotient is a whole number, then 3 and 41,245,832.3333 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:

1 123,737,497
-1 -123,737,497

Let's try dividing by 4:

123,737,497 ÷ 4 = 30,934,374.25

If the quotient is a whole number, then 4 and 30,934,374.25 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:

1 123,737,497
-1 123,737,497
Keep dividing by the next highest number until you cannot divide anymore.

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

1131271495031,6511,9376,53918,92363,88174,947245,999830,453974,3119,518,269123,737,497
-1-13-127-149-503-1,651-1,937-6,539-18,923-63,881-74,947-245,999-830,453-974,311-9,518,269-123,737,497

More Examples

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