Q: What are the factor combinations of the number 153,436,543?

 A:
Positive:   1 x 15343654313 x 1180281117 x 9025679221 x 694283419 x 3661971657 x 925995447 x 281697123 x 21541
Negative: -1 x -153436543-13 x -11802811-17 x -9025679-221 x -694283-419 x -366197-1657 x -92599-5447 x -28169-7123 x -21541


How do I find the factor combinations of the number 153,436,543?

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 153,436,543, 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.

1 153,436,543
-1 -153,436,543

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 153,436,543.

Example:
1 x 153,436,543 = 153,436,543
and
-1 x -153,436,543 = 153,436,543
Notice both answers equal 153,436,543

With that explanation out of the way, let's continue. Next, we take the number 153,436,543 and divide it by 2:

153,436,543 ÷ 2 = 76,718,271.5

If the quotient is a whole number, then 2 and 76,718,271.5 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:

1 153,436,543
-1 -153,436,543

Now, we try dividing 153,436,543 by 3:

153,436,543 ÷ 3 = 51,145,514.3333

If the quotient is a whole number, then 3 and 51,145,514.3333 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:

1 153,436,543
-1 -153,436,543

Let's try dividing by 4:

153,436,543 ÷ 4 = 38,359,135.75

If the quotient is a whole number, then 4 and 38,359,135.75 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:

1 153,436,543
-1 153,436,543
Keep dividing by the next highest number until you cannot divide anymore.

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

113172214191,6575,4477,12321,54128,16992,599366,197694,2839,025,67911,802,811153,436,543
-1-13-17-221-419-1,657-5,447-7,123-21,541-28,169-92,599-366,197-694,283-9,025,679-11,802,811-153,436,543

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