Q: What are the prime factors of the number 48,235,346?

 A: 2, 37, 79, 223

Why are those the prime factors of the number 48,235,346?

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 48,235,346

48,235,346
Factor Arrows
224,117,673
Factor Arrows
37651,829
Factor Arrows
3717,617
Factor Arrows
79223

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, 37, 79, 223

We can check our work by multiplying all of the prime factors together: 2 x 37 x 37 x 79 x 223 = 48,235,346

This can also be written as 21 x 372 x 791 x 2231 = 48,235,346

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


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