Q: What are the prime factors of the number 42,774,336?

 A: 2, 3, 11, 43, 157

Why are those the prime factors of the number 42,774,336?

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 42,774,336

42,774,336
Factor Arrows
221,387,168
Factor Arrows
210,693,584
Factor Arrows
25,346,792
Factor Arrows
22,673,396
Factor Arrows
21,336,698
Factor Arrows
2668,349
Factor Arrows
3222,783
Factor Arrows
374,261
Factor Arrows
116,751
Factor Arrows
43157

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, 11, 43, 157

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 3 x 3 x 11 x 43 x 157 = 42,774,336

This can also be written as 26 x 32 x 111 x 431 x 1571 = 42,774,336

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


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