Q: What are the prime factors of the number 42,668,240?

 A: 2, 5, 533353

Why are those the prime factors of the number 42,668,240?

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 42,668,240

42,668,240
Factor Arrows
221,334,120
Factor Arrows
210,667,060
Factor Arrows
25,333,530
Factor Arrows
22,666,765
Factor Arrows
5533,353

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, 533353

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 533,353 = 42,668,240

This can also be written as 24 x 51 x 533,3531 = 42,668,240

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


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