Q: What are the prime factors of the number 942,552?

 A: 2, 3, 13, 19, 53

Why are those the prime factors of the number 942,552?

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 942,552

942,552
Factor Arrows
2471,276
Factor Arrows
2235,638
Factor Arrows
2117,819
Factor Arrows
339,273
Factor Arrows
313,091
Factor Arrows
131,007
Factor Arrows
1953

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, 3, 13, 19, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 19 x 53 = 942,552

This can also be written as 23 x 32 x 131 x 191 x 531 = 942,552

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


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