Q: What are the prime factors of the number 340,246,424?

 A: 2, 7, 139, 43711

Why are those the prime factors of the number 340,246,424?

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 340,246,424

340,246,424
Factor Arrows
2170,123,212
Factor Arrows
285,061,606
Factor Arrows
242,530,803
Factor Arrows
76,075,829
Factor Arrows
13943,711

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, 7, 139, 43711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 139 x 43,711 = 340,246,424

This can also be written as 23 x 71 x 1391 x 43,7111 = 340,246,424

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


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