Q: What are the factor combinations of the number 143,441,221?

 A:
Positive:   1 x 1434412217 x 2049160311 x 1304011129 x 494624977 x 1862873203 x 706607319 x 4496592233 x 64237
Negative: -1 x -143441221-7 x -20491603-11 x -13040111-29 x -4946249-77 x -1862873-203 x -706607-319 x -449659-2233 x -64237


How do I find the factor combinations of the number 143,441,221?

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 143,441,221, 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.

1 143,441,221
-1 -143,441,221

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 143,441,221.

Example:
1 x 143,441,221 = 143,441,221
and
-1 x -143,441,221 = 143,441,221
Notice both answers equal 143,441,221

With that explanation out of the way, let's continue. Next, we take the number 143,441,221 and divide it by 2:

143,441,221 ÷ 2 = 71,720,610.5

If the quotient is a whole number, then 2 and 71,720,610.5 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:

1 143,441,221
-1 -143,441,221

Now, we try dividing 143,441,221 by 3:

143,441,221 ÷ 3 = 47,813,740.3333

If the quotient is a whole number, then 3 and 47,813,740.3333 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:

1 143,441,221
-1 -143,441,221

Let's try dividing by 4:

143,441,221 ÷ 4 = 35,860,305.25

If the quotient is a whole number, then 4 and 35,860,305.25 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:

1 143,441,221
-1 143,441,221
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,23364,237449,659706,6071,862,8734,946,24913,040,11120,491,603143,441,221
-1-7-11-29-77-203-319-2,233-64,237-449,659-706,607-1,862,873-4,946,249-13,040,111-20,491,603-143,441,221

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