Q: What are the prime factors of the number 164,035,220?

 A: 2, 5, 1973, 4157

Why are those the prime factors of the number 164,035,220?

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 164,035,220

164,035,220
Factor Arrows
282,017,610
Factor Arrows
241,008,805
Factor Arrows
58,201,761
Factor Arrows
1,9734,157

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, 5, 1973, 4157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,973 x 4,157 = 164,035,220

This can also be written as 22 x 51 x 1,9731 x 4,1571 = 164,035,220

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


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