Q: What are the prime factors of the number 160,031,300?

 A: 2, 5, 11, 13, 19, 31

Why are those the prime factors of the number 160,031,300?

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 160,031,300

160,031,300
Factor Arrows
280,015,650
Factor Arrows
240,007,825
Factor Arrows
58,001,565
Factor Arrows
51,600,313
Factor Arrows
11145,483
Factor Arrows
1311,191
Factor Arrows
19589
Factor Arrows
1931

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, 11, 13, 19, 31

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 11 x 13 x 19 x 19 x 31 = 160,031,300

This can also be written as 22 x 52 x 111 x 131 x 192 x 311 = 160,031,300

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


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