Q: What are the prime factors of the number 152,530,056?

 A: 2, 3, 7, 67, 4517

Why are those the prime factors of the number 152,530,056?

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 152,530,056

152,530,056
Factor Arrows
276,265,028
Factor Arrows
238,132,514
Factor Arrows
219,066,257
Factor Arrows
36,355,419
Factor Arrows
32,118,473
Factor Arrows
7302,639
Factor Arrows
674,517

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, 67, 4517

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 67 x 4,517 = 152,530,056

This can also be written as 23 x 32 x 71 x 671 x 4,5171 = 152,530,056

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


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