Q: What are the factor combinations of the number 144,861,125?

 A:
Positive:   1 x 1448611255 x 2897222525 x 5794445125 x 1158889463 x 3128752315 x 625752503 x 5787511575 x 12515
Negative: -1 x -144861125-5 x -28972225-25 x -5794445-125 x -1158889-463 x -312875-2315 x -62575-2503 x -57875-11575 x -12515


How do I find the factor combinations of the number 144,861,125?

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 144,861,125, 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.

1 144,861,125
-1 -144,861,125

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 144,861,125.

Example:
1 x 144,861,125 = 144,861,125
and
-1 x -144,861,125 = 144,861,125
Notice both answers equal 144,861,125

With that explanation out of the way, let's continue. Next, we take the number 144,861,125 and divide it by 2:

144,861,125 ÷ 2 = 72,430,562.5

If the quotient is a whole number, then 2 and 72,430,562.5 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:

1 144,861,125
-1 -144,861,125

Now, we try dividing 144,861,125 by 3:

144,861,125 ÷ 3 = 48,287,041.6667

If the quotient is a whole number, then 3 and 48,287,041.6667 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:

1 144,861,125
-1 -144,861,125

Let's try dividing by 4:

144,861,125 ÷ 4 = 36,215,281.25

If the quotient is a whole number, then 4 and 36,215,281.25 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:

1 144,861,125
-1 144,861,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254632,3152,50311,57512,51557,87562,575312,8751,158,8895,794,44528,972,225144,861,125
-1-5-25-125-463-2,315-2,503-11,575-12,515-57,875-62,575-312,875-1,158,889-5,794,445-28,972,225-144,861,125

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