Q: What are the prime factors of the number 55,772,756?

 A: 2, 13, 151, 7103

Why are those the prime factors of the number 55,772,756?

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 55,772,756

55,772,756
Factor Arrows
227,886,378
Factor Arrows
213,943,189
Factor Arrows
131,072,553
Factor Arrows
1517,103

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, 151, 7103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 151 x 7,103 = 55,772,756

This can also be written as 22 x 131 x 1511 x 7,1031 = 55,772,756

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


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