Q: What are the factor combinations of the number 151,002,521?

 A:
Positive:   1 x 15100252123 x 6565327131 x 1152691529 x 2854492179 x 692993013 x 50117
Negative: -1 x -151002521-23 x -6565327-131 x -1152691-529 x -285449-2179 x -69299-3013 x -50117


How do I find the factor combinations of the number 151,002,521?

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 151,002,521, 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.

1 151,002,521
-1 -151,002,521

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 151,002,521.

Example:
1 x 151,002,521 = 151,002,521
and
-1 x -151,002,521 = 151,002,521
Notice both answers equal 151,002,521

With that explanation out of the way, let's continue. Next, we take the number 151,002,521 and divide it by 2:

151,002,521 ÷ 2 = 75,501,260.5

If the quotient is a whole number, then 2 and 75,501,260.5 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:

1 151,002,521
-1 -151,002,521

Now, we try dividing 151,002,521 by 3:

151,002,521 ÷ 3 = 50,334,173.6667

If the quotient is a whole number, then 3 and 50,334,173.6667 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:

1 151,002,521
-1 -151,002,521

Let's try dividing by 4:

151,002,521 ÷ 4 = 37,750,630.25

If the quotient is a whole number, then 4 and 37,750,630.25 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:

1 151,002,521
-1 151,002,521
Keep dividing by the next highest number until you cannot divide anymore.

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

1231315292,1793,01350,11769,299285,4491,152,6916,565,327151,002,521
-1-23-131-529-2,179-3,013-50,117-69,299-285,449-1,152,691-6,565,327-151,002,521

More Examples

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