Q: What are the factor combinations of the number 143,145,247?

 A:
Positive:   1 x 1431452477 x 2044932129 x 4936043203 x 705149463 x 3091691523 x 939893241 x 4416710661 x 13427
Negative: -1 x -143145247-7 x -20449321-29 x -4936043-203 x -705149-463 x -309169-1523 x -93989-3241 x -44167-10661 x -13427


How do I find the factor combinations of the number 143,145,247?

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 143,145,247, 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.

1 143,145,247
-1 -143,145,247

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 143,145,247.

Example:
1 x 143,145,247 = 143,145,247
and
-1 x -143,145,247 = 143,145,247
Notice both answers equal 143,145,247

With that explanation out of the way, let's continue. Next, we take the number 143,145,247 and divide it by 2:

143,145,247 ÷ 2 = 71,572,623.5

If the quotient is a whole number, then 2 and 71,572,623.5 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:

1 143,145,247
-1 -143,145,247

Now, we try dividing 143,145,247 by 3:

143,145,247 ÷ 3 = 47,715,082.3333

If the quotient is a whole number, then 3 and 47,715,082.3333 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:

1 143,145,247
-1 -143,145,247

Let's try dividing by 4:

143,145,247 ÷ 4 = 35,786,311.75

If the quotient is a whole number, then 4 and 35,786,311.75 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:

1 143,145,247
-1 143,145,247
Keep dividing by the next highest number until you cannot divide anymore.

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

17292034631,5233,24110,66113,42744,16793,989309,169705,1494,936,04320,449,321143,145,247
-1-7-29-203-463-1,523-3,241-10,661-13,427-44,167-93,989-309,169-705,149-4,936,043-20,449,321-143,145,247

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