Q: What are the prime factors of the number 132,433,420?

 A: 2, 5, 7, 19, 49787

Why are those the prime factors of the number 132,433,420?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 132,433,420

132,433,420
Factor Arrows
266,216,710
Factor Arrows
233,108,355
Factor Arrows
56,621,671
Factor Arrows
7945,953
Factor Arrows
1949,787

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 7, 19, 49787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 19 x 49,787 = 132,433,420

This can also be written as 22 x 51 x 71 x 191 x 49,7871 = 132,433,420

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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