Q: What are the factor combinations of the number 144,500,455?

 A:
Positive:   1 x 1445004555 x 2890009111 x 1313640531 x 466130555 x 2627281155 x 932261341 x 4237551705 x 84751
Negative: -1 x -144500455-5 x -28900091-11 x -13136405-31 x -4661305-55 x -2627281-155 x -932261-341 x -423755-1705 x -84751


How do I find the factor combinations of the number 144,500,455?

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 144,500,455, 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.

1 144,500,455
-1 -144,500,455

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 144,500,455.

Example:
1 x 144,500,455 = 144,500,455
and
-1 x -144,500,455 = 144,500,455
Notice both answers equal 144,500,455

With that explanation out of the way, let's continue. Next, we take the number 144,500,455 and divide it by 2:

144,500,455 ÷ 2 = 72,250,227.5

If the quotient is a whole number, then 2 and 72,250,227.5 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:

1 144,500,455
-1 -144,500,455

Now, we try dividing 144,500,455 by 3:

144,500,455 ÷ 3 = 48,166,818.3333

If the quotient is a whole number, then 3 and 48,166,818.3333 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:

1 144,500,455
-1 -144,500,455

Let's try dividing by 4:

144,500,455 ÷ 4 = 36,125,113.75

If the quotient is a whole number, then 4 and 36,125,113.75 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:

1 144,500,455
-1 144,500,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70584,751423,755932,2612,627,2814,661,30513,136,40528,900,091144,500,455
-1-5-11-31-55-155-341-1,705-84,751-423,755-932,261-2,627,281-4,661,305-13,136,405-28,900,091-144,500,455

More Examples

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