Q: What are the prime factors of the number 145,545,036?

 A: 2, 3, 7, 13, 133283

Why are those the prime factors of the number 145,545,036?

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 145,545,036

145,545,036
Factor Arrows
272,772,518
Factor Arrows
236,386,259
Factor Arrows
312,128,753
Factor Arrows
71,732,679
Factor Arrows
13133,283

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, 7, 13, 133283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 13 x 133,283 = 145,545,036

This can also be written as 22 x 31 x 71 x 131 x 133,2831 = 145,545,036

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


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