Q: What are the factor combinations of the number 153,015,397?

 A:
Positive:   1 x 15301539729 x 527639383 x 1843559151 x 1013347421 x 3634572407 x 635714379 x 3494312209 x 12533
Negative: -1 x -153015397-29 x -5276393-83 x -1843559-151 x -1013347-421 x -363457-2407 x -63571-4379 x -34943-12209 x -12533


How do I find the factor combinations of the number 153,015,397?

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 153,015,397, 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.

1 153,015,397
-1 -153,015,397

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 153,015,397.

Example:
1 x 153,015,397 = 153,015,397
and
-1 x -153,015,397 = 153,015,397
Notice both answers equal 153,015,397

With that explanation out of the way, let's continue. Next, we take the number 153,015,397 and divide it by 2:

153,015,397 ÷ 2 = 76,507,698.5

If the quotient is a whole number, then 2 and 76,507,698.5 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:

1 153,015,397
-1 -153,015,397

Now, we try dividing 153,015,397 by 3:

153,015,397 ÷ 3 = 51,005,132.3333

If the quotient is a whole number, then 3 and 51,005,132.3333 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:

1 153,015,397
-1 -153,015,397

Let's try dividing by 4:

153,015,397 ÷ 4 = 38,253,849.25

If the quotient is a whole number, then 4 and 38,253,849.25 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:

1 153,015,397
-1 153,015,397
Keep dividing by the next highest number until you cannot divide anymore.

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

129831514212,4074,37912,20912,53334,94363,571363,4571,013,3471,843,5595,276,393153,015,397
-1-29-83-151-421-2,407-4,379-12,209-12,533-34,943-63,571-363,457-1,013,347-1,843,559-5,276,393-153,015,397

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