Q: What are the prime factors of the number 42,414,300?

 A: 2, 3, 5, 23, 683

Why are those the prime factors of the number 42,414,300?

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 42,414,300

42,414,300
Factor Arrows
221,207,150
Factor Arrows
210,603,575
Factor Arrows
33,534,525
Factor Arrows
31,178,175
Factor Arrows
3392,725
Factor Arrows
578,545
Factor Arrows
515,709
Factor Arrows
23683

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, 5, 23, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 23 x 683 = 42,414,300

This can also be written as 22 x 33 x 52 x 231 x 6831 = 42,414,300

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


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