Q: What are the prime factors of the number 49,346,504?

 A: 2, 6168313

Why are those the prime factors of the number 49,346,504?

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 49,346,504

49,346,504
Factor Arrows
224,673,252
Factor Arrows
212,336,626
Factor Arrows
26,168,313

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, 6168313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 6,168,313 = 49,346,504

This can also be written as 23 x 6,168,3131 = 49,346,504

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


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