Q: What are the prime factors of the number 43,683,048?

 A: 2, 3, 29, 20921

Why are those the prime factors of the number 43,683,048?

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 43,683,048

43,683,048
Factor Arrows
221,841,524
Factor Arrows
210,920,762
Factor Arrows
25,460,381
Factor Arrows
31,820,127
Factor Arrows
3606,709
Factor Arrows
2920,921

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, 29, 20921

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 29 x 20,921 = 43,683,048

This can also be written as 23 x 32 x 291 x 20,9211 = 43,683,048

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


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