Q: What are the prime factors of the number 340,124,510?

 A: 2, 5, 11, 19, 162739

Why are those the prime factors of the number 340,124,510?

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 340,124,510

340,124,510
Factor Arrows
2170,062,255
Factor Arrows
534,012,451
Factor Arrows
113,092,041
Factor Arrows
19162,739

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, 5, 11, 19, 162739

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 19 x 162,739 = 340,124,510

This can also be written as 21 x 51 x 111 x 191 x 162,7391 = 340,124,510

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


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