Q: What are the factor combinations of the number 540,610,145?

 A:
Positive:   1 x 5406101455 x 10812202937 x 14611085131 x 4126795185 x 2922217655 x 8253594847 x 11153522307 x 24235
Negative: -1 x -540610145-5 x -108122029-37 x -14611085-131 x -4126795-185 x -2922217-655 x -825359-4847 x -111535-22307 x -24235


How do I find the factor combinations of the number 540,610,145?

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 540,610,145, 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.

1 540,610,145
-1 -540,610,145

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 540,610,145.

Example:
1 x 540,610,145 = 540,610,145
and
-1 x -540,610,145 = 540,610,145
Notice both answers equal 540,610,145

With that explanation out of the way, let's continue. Next, we take the number 540,610,145 and divide it by 2:

540,610,145 ÷ 2 = 270,305,072.5

If the quotient is a whole number, then 2 and 270,305,072.5 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:

1 540,610,145
-1 -540,610,145

Now, we try dividing 540,610,145 by 3:

540,610,145 ÷ 3 = 180,203,381.6667

If the quotient is a whole number, then 3 and 180,203,381.6667 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:

1 540,610,145
-1 -540,610,145

Let's try dividing by 4:

540,610,145 ÷ 4 = 135,152,536.25

If the quotient is a whole number, then 4 and 135,152,536.25 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:

1 540,610,145
-1 540,610,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15371311856554,84722,30724,235111,535825,3592,922,2174,126,79514,611,085108,122,029540,610,145
-1-5-37-131-185-655-4,847-22,307-24,235-111,535-825,359-2,922,217-4,126,795-14,611,085-108,122,029-540,610,145

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