Q: What are the factor combinations of the number 500,153,255?

 A:
Positive:   1 x 5001532555 x 1000306517 x 7145046535 x 14290093113 x 4426135565 x 885227791 x 6323053955 x 126461
Negative: -1 x -500153255-5 x -100030651-7 x -71450465-35 x -14290093-113 x -4426135-565 x -885227-791 x -632305-3955 x -126461


How do I find the factor combinations of the number 500,153,255?

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 500,153,255, 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.

1 500,153,255
-1 -500,153,255

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 500,153,255.

Example:
1 x 500,153,255 = 500,153,255
and
-1 x -500,153,255 = 500,153,255
Notice both answers equal 500,153,255

With that explanation out of the way, let's continue. Next, we take the number 500,153,255 and divide it by 2:

500,153,255 ÷ 2 = 250,076,627.5

If the quotient is a whole number, then 2 and 250,076,627.5 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:

1 500,153,255
-1 -500,153,255

Now, we try dividing 500,153,255 by 3:

500,153,255 ÷ 3 = 166,717,751.6667

If the quotient is a whole number, then 3 and 166,717,751.6667 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:

1 500,153,255
-1 -500,153,255

Let's try dividing by 4:

500,153,255 ÷ 4 = 125,038,313.75

If the quotient is a whole number, then 4 and 125,038,313.75 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:

1 500,153,255
-1 500,153,255
Keep dividing by the next highest number until you cannot divide anymore.

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

157351135657913,955126,461632,305885,2274,426,13514,290,09371,450,465100,030,651500,153,255
-1-5-7-35-113-565-791-3,955-126,461-632,305-885,227-4,426,135-14,290,093-71,450,465-100,030,651-500,153,255

More Examples

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