Q: What are the prime factors of the number 612,336,056?

 A: 2, 17, 31, 61, 2381

Why are those the prime factors of the number 612,336,056?

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 612,336,056

612,336,056
Factor Arrows
2306,168,028
Factor Arrows
2153,084,014
Factor Arrows
276,542,007
Factor Arrows
174,502,471
Factor Arrows
31145,241
Factor Arrows
612,381

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, 17, 31, 61, 2381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 31 x 61 x 2,381 = 612,336,056

This can also be written as 23 x 171 x 311 x 611 x 2,3811 = 612,336,056

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


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