Q: What are the prime factors of the number 423,310,162?

 A: 2, 11, 751, 25621

Why are those the prime factors of the number 423,310,162?

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 423,310,162

423,310,162
Factor Arrows
2211,655,081
Factor Arrows
1119,241,371
Factor Arrows
75125,621

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, 11, 751, 25621

We can check our work by multiplying all of the prime factors together: 2 x 11 x 751 x 25,621 = 423,310,162

This can also be written as 21 x 111 x 7511 x 25,6211 = 423,310,162

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


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