Q: What are the factor combinations of the number 153,440,143?

 A:
Positive:   1 x 15344014319 x 8075797929 x 1651678693 x 17651
Negative: -1 x -153440143-19 x -8075797-929 x -165167-8693 x -17651


How do I find the factor combinations of the number 153,440,143?

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 153,440,143, 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.

1 153,440,143
-1 -153,440,143

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 153,440,143.

Example:
1 x 153,440,143 = 153,440,143
and
-1 x -153,440,143 = 153,440,143
Notice both answers equal 153,440,143

With that explanation out of the way, let's continue. Next, we take the number 153,440,143 and divide it by 2:

153,440,143 ÷ 2 = 76,720,071.5

If the quotient is a whole number, then 2 and 76,720,071.5 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:

1 153,440,143
-1 -153,440,143

Now, we try dividing 153,440,143 by 3:

153,440,143 ÷ 3 = 51,146,714.3333

If the quotient is a whole number, then 3 and 51,146,714.3333 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:

1 153,440,143
-1 -153,440,143

Let's try dividing by 4:

153,440,143 ÷ 4 = 38,360,035.75

If the quotient is a whole number, then 4 and 38,360,035.75 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:

1 153,440,143
-1 153,440,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1199298,69317,651165,1678,075,797153,440,143
-1-19-929-8,693-17,651-165,167-8,075,797-153,440,143

More Examples

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