Q: What are the prime factors of the number 49,044,866?

 A: 2, 13, 83, 22727

Why are those the prime factors of the number 49,044,866?

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 49,044,866

49,044,866
Factor Arrows
224,522,433
Factor Arrows
131,886,341
Factor Arrows
8322,727

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, 13, 83, 22727

We can check our work by multiplying all of the prime factors together: 2 x 13 x 83 x 22,727 = 49,044,866

This can also be written as 21 x 131 x 831 x 22,7271 = 49,044,866

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


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