Q: What are the factor combinations of the number 54,455,225?

 A:
Positive:   1 x 544552255 x 1089104511 x 495047525 x 217820955 x 99009571 x 766975275 x 198019355 x 153395781 x 697251775 x 306792789 x 195253905 x 13945
Negative: -1 x -54455225-5 x -10891045-11 x -4950475-25 x -2178209-55 x -990095-71 x -766975-275 x -198019-355 x -153395-781 x -69725-1775 x -30679-2789 x -19525-3905 x -13945


How do I find the factor combinations of the number 54,455,225?

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 54,455,225, 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 54,455,225
-1 -54,455,225

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 54,455,225.

Example:
1 x 54,455,225 = 54,455,225
and
-1 x -54,455,225 = 54,455,225
Notice both answers equal 54,455,225

With that explanation out of the way, let's continue. Next, we take the number 54,455,225 and divide it by 2:

54,455,225 ÷ 2 = 27,227,612.5

If the quotient is a whole number, then 2 and 27,227,612.5 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 54,455,225
-1 -54,455,225

Now, we try dividing 54,455,225 by 3:

54,455,225 ÷ 3 = 18,151,741.6667

If the quotient is a whole number, then 3 and 18,151,741.6667 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 54,455,225
-1 -54,455,225

Let's try dividing by 4:

54,455,225 ÷ 4 = 13,613,806.25

If the quotient is a whole number, then 4 and 13,613,806.25 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 54,455,225
-1 54,455,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555712753557811,7752,7893,90513,94519,52530,67969,725153,395198,019766,975990,0952,178,2094,950,47510,891,04554,455,225
-1-5-11-25-55-71-275-355-781-1,775-2,789-3,905-13,945-19,525-30,679-69,725-153,395-198,019-766,975-990,095-2,178,209-4,950,475-10,891,045-54,455,225

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