Q: What are the factor combinations of the number 450,232,153?

 A:
Positive:   1 x 4502321537 x 6431887923 x 19575311161 x 2796473347 x 12974992429 x 1853577981 x 564138059 x 55867
Negative: -1 x -450232153-7 x -64318879-23 x -19575311-161 x -2796473-347 x -1297499-2429 x -185357-7981 x -56413-8059 x -55867


How do I find the factor combinations of the number 450,232,153?

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 450,232,153, 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.

1 450,232,153
-1 -450,232,153

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 450,232,153.

Example:
1 x 450,232,153 = 450,232,153
and
-1 x -450,232,153 = 450,232,153
Notice both answers equal 450,232,153

With that explanation out of the way, let's continue. Next, we take the number 450,232,153 and divide it by 2:

450,232,153 ÷ 2 = 225,116,076.5

If the quotient is a whole number, then 2 and 225,116,076.5 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:

1 450,232,153
-1 -450,232,153

Now, we try dividing 450,232,153 by 3:

450,232,153 ÷ 3 = 150,077,384.3333

If the quotient is a whole number, then 3 and 150,077,384.3333 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:

1 450,232,153
-1 -450,232,153

Let's try dividing by 4:

450,232,153 ÷ 4 = 112,558,038.25

If the quotient is a whole number, then 4 and 112,558,038.25 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:

1 450,232,153
-1 450,232,153
Keep dividing by the next highest number until you cannot divide anymore.

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

17231613472,4297,9818,05955,86756,413185,3571,297,4992,796,47319,575,31164,318,879450,232,153
-1-7-23-161-347-2,429-7,981-8,059-55,867-56,413-185,357-1,297,499-2,796,473-19,575,311-64,318,879-450,232,153

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