Q: What are the prime factors of the number 452,501,450?

 A: 2, 5, 73, 123973

Why are those the prime factors of the number 452,501,450?

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 452,501,450

452,501,450
Factor Arrows
2226,250,725
Factor Arrows
545,250,145
Factor Arrows
59,050,029
Factor Arrows
73123,973

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, 73, 123973

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 73 x 123,973 = 452,501,450

This can also be written as 21 x 52 x 731 x 123,9731 = 452,501,450

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


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