Q: What are the prime factors of the number 142,456,246?

 A: 2, 71, 379, 2647

Why are those the prime factors of the number 142,456,246?

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 142,456,246

142,456,246
Factor Arrows
271,228,123
Factor Arrows
711,003,213
Factor Arrows
3792,647

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, 71, 379, 2647

We can check our work by multiplying all of the prime factors together: 2 x 71 x 379 x 2,647 = 142,456,246

This can also be written as 21 x 711 x 3791 x 2,6471 = 142,456,246

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


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