Q: What are the factor combinations of the number 225,002,503?

 A:
Positive:   1 x 22500250311 x 2045477319 x 1184223729 x 7758707209 x 1076567319 x 705337551 x 4083536061 x 37123
Negative: -1 x -225002503-11 x -20454773-19 x -11842237-29 x -7758707-209 x -1076567-319 x -705337-551 x -408353-6061 x -37123


How do I find the factor combinations of the number 225,002,503?

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 225,002,503, 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.

1 225,002,503
-1 -225,002,503

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 225,002,503.

Example:
1 x 225,002,503 = 225,002,503
and
-1 x -225,002,503 = 225,002,503
Notice both answers equal 225,002,503

With that explanation out of the way, let's continue. Next, we take the number 225,002,503 and divide it by 2:

225,002,503 ÷ 2 = 112,501,251.5

If the quotient is a whole number, then 2 and 112,501,251.5 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:

1 225,002,503
-1 -225,002,503

Now, we try dividing 225,002,503 by 3:

225,002,503 ÷ 3 = 75,000,834.3333

If the quotient is a whole number, then 3 and 75,000,834.3333 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:

1 225,002,503
-1 -225,002,503

Let's try dividing by 4:

225,002,503 ÷ 4 = 56,250,625.75

If the quotient is a whole number, then 4 and 56,250,625.75 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:

1 225,002,503
-1 225,002,503
Keep dividing by the next highest number until you cannot divide anymore.

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

11119292093195516,06137,123408,353705,3371,076,5677,758,70711,842,23720,454,773225,002,503
-1-11-19-29-209-319-551-6,061-37,123-408,353-705,337-1,076,567-7,758,707-11,842,237-20,454,773-225,002,503

More Examples

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