Q: What are the prime factors of the number 42,891,776?

 A: 2, 83773

Why are those the prime factors of the number 42,891,776?

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 42,891,776

42,891,776
Factor Arrows
221,445,888
Factor Arrows
210,722,944
Factor Arrows
25,361,472
Factor Arrows
22,680,736
Factor Arrows
21,340,368
Factor Arrows
2670,184
Factor Arrows
2335,092
Factor Arrows
2167,546
Factor Arrows
283,773

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, 83773

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 83,773 = 42,891,776

This can also be written as 29 x 83,7731 = 42,891,776

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


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