Q: What are the prime factors of the number 420,432,102?

 A: 2, 3, 67, 348617

Why are those the prime factors of the number 420,432,102?

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 420,432,102

420,432,102
Factor Arrows
2210,216,051
Factor Arrows
370,072,017
Factor Arrows
323,357,339
Factor Arrows
67348,617

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, 67, 348617

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 67 x 348,617 = 420,432,102

This can also be written as 21 x 32 x 671 x 348,6171 = 420,432,102

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


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