Q: What are the prime factors of the number 56,702,050?

 A: 2, 5, 53, 21397

Why are those the prime factors of the number 56,702,050?

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 56,702,050

56,702,050
Factor Arrows
228,351,025
Factor Arrows
55,670,205
Factor Arrows
51,134,041
Factor Arrows
5321,397

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, 53, 21397

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 53 x 21,397 = 56,702,050

This can also be written as 21 x 52 x 531 x 21,3971 = 56,702,050

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


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