Q: What are the factor combinations of the number 254,024,225?

 A:
Positive:   1 x 2540242255 x 508048457 x 3628917513 x 1954032525 x 1016096935 x 725783565 x 390806591 x 2791475175 x 1451567325 x 781613455 x 5582952275 x 111659
Negative: -1 x -254024225-5 x -50804845-7 x -36289175-13 x -19540325-25 x -10160969-35 x -7257835-65 x -3908065-91 x -2791475-175 x -1451567-325 x -781613-455 x -558295-2275 x -111659


How do I find the factor combinations of the number 254,024,225?

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 254,024,225, 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.

1 254,024,225
-1 -254,024,225

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 254,024,225.

Example:
1 x 254,024,225 = 254,024,225
and
-1 x -254,024,225 = 254,024,225
Notice both answers equal 254,024,225

With that explanation out of the way, let's continue. Next, we take the number 254,024,225 and divide it by 2:

254,024,225 ÷ 2 = 127,012,112.5

If the quotient is a whole number, then 2 and 127,012,112.5 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:

1 254,024,225
-1 -254,024,225

Now, we try dividing 254,024,225 by 3:

254,024,225 ÷ 3 = 84,674,741.6667

If the quotient is a whole number, then 3 and 84,674,741.6667 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:

1 254,024,225
-1 -254,024,225

Let's try dividing by 4:

254,024,225 ÷ 4 = 63,506,056.25

If the quotient is a whole number, then 4 and 63,506,056.25 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:

1 254,024,225
-1 254,024,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,275111,659558,295781,6131,451,5672,791,4753,908,0657,257,83510,160,96919,540,32536,289,17550,804,845254,024,225
-1-5-7-13-25-35-65-91-175-325-455-2,275-111,659-558,295-781,613-1,451,567-2,791,475-3,908,065-7,257,835-10,160,969-19,540,325-36,289,175-50,804,845-254,024,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 254,024,225:


Ask a Question