Q: What are the prime factors of the number 67,402,775?

 A: 5, 11, 131, 1871

Why are those the prime factors of the number 67,402,775?

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 67,402,775

67,402,775
Factor Arrows
513,480,555
Factor Arrows
52,696,111
Factor Arrows
11245,101
Factor Arrows
1311,871

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:

5, 11, 131, 1871

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 131 x 1,871 = 67,402,775

This can also be written as 52 x 111 x 1311 x 1,8711 = 67,402,775

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


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