Q: What are the factor combinations of the number 153,442,303?

 A:
Positive:   1 x 1534423037 x 2192032959 x 2600717313 x 490231413 x 3715311187 x 1292692191 x 700338309 x 18467
Negative: -1 x -153442303-7 x -21920329-59 x -2600717-313 x -490231-413 x -371531-1187 x -129269-2191 x -70033-8309 x -18467


How do I find the factor combinations of the number 153,442,303?

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 153,442,303, 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.

1 153,442,303
-1 -153,442,303

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 153,442,303.

Example:
1 x 153,442,303 = 153,442,303
and
-1 x -153,442,303 = 153,442,303
Notice both answers equal 153,442,303

With that explanation out of the way, let's continue. Next, we take the number 153,442,303 and divide it by 2:

153,442,303 ÷ 2 = 76,721,151.5

If the quotient is a whole number, then 2 and 76,721,151.5 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:

1 153,442,303
-1 -153,442,303

Now, we try dividing 153,442,303 by 3:

153,442,303 ÷ 3 = 51,147,434.3333

If the quotient is a whole number, then 3 and 51,147,434.3333 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:

1 153,442,303
-1 -153,442,303

Let's try dividing by 4:

153,442,303 ÷ 4 = 38,360,575.75

If the quotient is a whole number, then 4 and 38,360,575.75 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:

1 153,442,303
-1 153,442,303
Keep dividing by the next highest number until you cannot divide anymore.

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

17593134131,1872,1918,30918,46770,033129,269371,531490,2312,600,71721,920,329153,442,303
-1-7-59-313-413-1,187-2,191-8,309-18,467-70,033-129,269-371,531-490,231-2,600,717-21,920,329-153,442,303

More Examples

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