Q: What are the prime factors of the number 50,220,423?

 A: 3, 11, 73, 6949

Why are those the prime factors of the number 50,220,423?

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 50,220,423

50,220,423
Factor Arrows
316,740,141
Factor Arrows
35,580,047
Factor Arrows
11507,277
Factor Arrows
736,949

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:

3, 11, 73, 6949

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 73 x 6,949 = 50,220,423

This can also be written as 32 x 111 x 731 x 6,9491 = 50,220,423

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


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